SymmetricMatrix<T, TSlice, TStorage2D> Class

Definition

Namespace: Numerics.NET.LinearAlgebra
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
C# 
[SerializableAttribute]
public sealed class SymmetricMatrix<T, TSlice, TStorage2D> : SymmetricMatrix<T>, 
	ISerializable
where TSlice : Object, IStorageSlice<T, TSlice>
where TStorage2D : Object, IStorage2D<T, TSlice, TStorage2D>
Inheritance
Object  →  LinearOperator<T>  →  Matrix<T>  →  SymmetricMatrix<T>  →  SymmetricMatrix<T, TSlice, TStorage2D>
Implements
ISerializable

Type Parameters

T
TSlice
TStorage2D

Properties

CanReshape Gets whether the matrix can be reshaped into a vector or a matrix.
(Inherited from Matrix<T>)
ColumnCount Gets the number of columns in the matrix.
(Inherited from LinearOperator<T>)
ColumnIndex Gets or sets the index of labels for the columns of the matrix.
(Inherited from LinearOperator<T>)
Preliminary
Columns Gets the ColumnCollection<T> for this instance.
(Inherited from Matrix<T>)
ColumnwiseComponents Enumerates the elements of the matrix column by column.
(Inherited from Matrix<T>)
ElementOrder Gets a value indicating the order in which the matrix elements are stored.
(Inherited from SymmetricMatrix<T>)
ElementType Gets the element type of the matrix.
(Inherited from LinearOperator<T>)
IsHermitian Gets a value that indicates if the matrix is Hermitian about the main diagonal.
(Inherited from Matrix<T>)
IsImmutable Gets whether the elements of the matrix are immutable.
(Inherited from Matrix<T>)
IsLowerTriangular Gets a value that indicates if all elements of the matrix above the main diagonal are zero.
(Inherited from Matrix<T>)
IsReadOnly Gets whether the matrix can be written to.
(Inherited from Matrix<T>)
IsSparse Gets a value that indicates whether the matrix is sparse.
(Inherited from SymmetricMatrix<T>)
IsSymmetrical Gets a value that indicates if the matrix is symmetrical about the main diagonal.
(Inherited from SymmetricMatrix<T>)
IsUnitDiagonal Gets whether all diagonal elements of this instance are equal to 1.
(Inherited from Matrix<T>)
IsUpperTriangular Gets a value that indicates if all elements of the matrix below the main diagonal are zero.
(Inherited from Matrix<T>)
Item[Func<T, Boolean>, Int32] Gets or sets the elements of a column of the matrix that meet the specified condition.
(Inherited from Matrix<T>)
Item[IEnumerable<Int32>, Range] Gets or sets the elements of a matrix with the specified row indexes and column range.
(Inherited from Matrix<T>)
Item[IEnumerable<Int32>, IEnumerable<Int32>] Gets or sets the elements of a matrix with the specified row and column indexes.
(Inherited from Matrix<T>)
Item[IEnumerable<Int32>, Int32] Gets or sets the elements of a column with the specified indexes.
(Inherited from Matrix<T>)
Item[IEnumerable<Int32>, Range] Gets or sets the elements of a matrix with the specified row indexes and column range.
(Inherited from Matrix<T>)
Item[Index, Index] Gets or sets the specified element in this matrix.
(Inherited from Matrix<T>)
Item[Index, Range] Gets or sets the elements of a row of this matrix.
(Inherited from Matrix<T>)
Item[Int32, Range] Gets or sets the elements of a row of this matrix.
(Inherited from Matrix<T>)
Item[Int32, Vector<Boolean>] Gets or sets the elements of a row of this matrix.
(Inherited from Matrix<T>)
Item[Int32, IEnumerable<Int32>] Gets or sets the elements of a row with the specified indexes.
(Inherited from Matrix<T>)
Item[Int32, Func<T, Boolean>] Gets or sets the elements of a row of the matrix that meet the specified condition.
(Inherited from Matrix<T>)
Item[Int32, Int32] Gets or sets the specified element in this matrix.
(Inherited from Matrix<T>)
Item[Range, Range] Gets or sets the elements of a sub-matrix of this matrix.
(Inherited from Matrix<T>)
Item[Range, IEnumerable<Int32>] Gets or sets the elements of a matrix with the specified row range and column indexes.
(Inherited from Matrix<T>)
Item[Range, Int32] Gets or sets the elements of a column of this matrix.
(Inherited from Matrix<T>)
Item[Range, IEnumerable<Int32>] Gets or sets the elements of a matrix with the specified row range and column indexes.
(Inherited from Matrix<T>)
Item[Range, Index] Gets or sets the elements of a column of this matrix.
(Inherited from Matrix<T>)
Item[Range, Range] Gets or sets the elements of a sub-matrix of this matrix.
(Inherited from Matrix<T>)
Item[Vector<Boolean>, Int32] Gets or sets the elements of a column of this matrix.
(Inherited from Matrix<T>)
MatrixDiagonal Gets whether all diagonal elements of this instance are structurally equal to 1.
(Inherited from Matrix<T>)
MatrixTriangle Gets a value that indicates whether a triangular matrix is upper or lower triangular.
(Inherited from Matrix<T>)
NonzeroElements Gets a collection of the nonzero elements of the matrix.
(Inherited from Matrix<T>)
Precedence Infrastructure. This property supports the Numerics.NET infrastructure and is not intended to be used directly from your code.
(Inherited from Matrix<T>)
ReadOnlyStorage If available, gets a read-only 2D span over the elements of the matrix.
(Overrides Matrix<T>.ReadOnlyStorage)
RowCount Gets the number of rows in the matrix.
(Inherited from LinearOperator<T>)
RowIndex Gets or sets the index of labels for the rows of the matrix.
(Inherited from LinearOperator<T>)
Preliminary
Rows Gets the RowCollection<T> for this instance.
(Inherited from Matrix<T>)
RowwiseComponents Enumerates the elements of the matrix column by column.
(Inherited from Matrix<T>)
StoredTriangle Gets a value that indicates whether the components of a Hermitian matrix are stored in the upper or lower triangle.
(Inherited from SymmetricMatrix<T>)
Structure Gets a value that indicates the structure of the sparse matrix.
(Inherited from Matrix<T>)
UnsafeStorage If available, gets a 2D span over the elements of the matrix.
(Overrides Matrix<T>.UnsafeStorage)
UnsafeStorageMemory2D If available, gets a 2D memory block over the elements of the matrix.
(Overrides Matrix<T>.UnsafeStorageMemory2D)
WritableComponents Enumerates the writable elements of the matrix column by column.
(Inherited from Matrix<T>)

Methods

AbsInPlace Computes the absolute value of the elements of a matrix in-place.
(Inherited from Matrix<T>)
AbsoluteMax Returns the value of the element in this matrix that has the largest absolute value.
(Inherited from Matrix<T>)
AbsoluteMin Returns the value of the element in this matrix that has the smallest absolute value.
(Inherited from Matrix<T>)
AcoshInPlace Computes the inverse hyperbolic cosine of the elements of a matrix in-place.
(Inherited from Matrix<T>)
AcosInPlace Computes the inverse cosine of the elements of a matrix in-place.
(Inherited from Matrix<T>)
AddInPlace(T) Adds a scalar to a matrix.
(Inherited from Matrix<T>)
AddInPlace(Matrix<T>) Adds another matrix to this matrix in-place.
(Inherited from Matrix<T>)
AddInPlace(Vector<T>, Dimension) Adds a vector broadcast along the specified dimension to this matrix in-place.
(Inherited from Matrix<T>)
AddOuterProduct(Matrix<T>) Updates a symmetric matrix with the product of a matrix and its transpose.
(Inherited from SymmetricMatrix<T>)
AddOuterProduct(Vector<T>) Updates a symmetric matrix with the outer product of a vector and itself.
(Inherited from SymmetricMatrix<T>)
AddOuterProduct(T, Matrix<T>) Updates a symmetric matrix with the scaled outer product of a matrix and its transpose.
(Inherited from SymmetricMatrix<T>)
AddOuterProduct(T, Vector<T>) Updates a symmetric matrix with the scaled outer product of a vector and its transpose.
(Inherited from SymmetricMatrix<T>)
AddProductInPlace(Matrix<T>, Matrix<T>) Adds the product of two matrices to this matrix.
(Inherited from Matrix<T>)
AddProductInPlace(Matrix<T>, TransposeOperation, Matrix<T>, TransposeOperation) Adds the product of two matrices to this matrix.
(Inherited from Matrix<T>)
AddScaledInPlace Adds a scaled matrix to this matrix.
(Inherited from Matrix<T>)
AddScaledProductInPlace(T, Matrix<T>, Matrix<T>) Adds a multiple of the scaled product of two matrices to this matrix.
(Inherited from Matrix<T>)
AddScaledProductInPlace(T, Matrix<T>, TransposeOperation, Matrix<T>, TransposeOperation) Adds the scaled product of two matrices to another matrix.
(Inherited from Matrix<T>)
AddSymmetricOuterProduct(T, Matrix<T>, Matrix<T>) Updates a symmetric matrix with the scaled outer product of a vector and its transpose.
(Inherited from SymmetricMatrix<T>)
AddSymmetricOuterProduct(T, Vector<T>, Vector<T>) Updates a symmetric matrix with the scaled outer product of a vector and a transposed vector.
(Inherited from SymmetricMatrix<T>)
AggregateColumns(TypePreservingAggregatorGroup) Applies the specified aggregator to all the columns in the matrix.
(Inherited from Matrix<T>)
AggregateColumns<U>(Aggregator<T, U>) Applies the specified aggregator to all the columns in the matrix.
(Inherited from Matrix<T>)
AggregateColumns<U>(AggregatorGroup<U>) Applies the specified aggregator to all the columns in the matrix.
(Inherited from Matrix<T>)
AggregateColumns<TResult>(AggregatorGroup<TResult>[]) Applies the specified aggregators to all the columns in the matrix.
(Inherited from Matrix<T>)
AggregateColumns<TResult>(Func<Vector<T>, TResult>) Applies the specified aggregators to all the columns in the matrix.
(Inherited from Matrix<T>)
AggregateColumnsBy(IGrouping, TypePreservingAggregatorGroup) Returns a new matrix that aggregates the columns according to the specified grouping.
(Inherited from Matrix<T>)
AggregateColumnsBy<TResult>(IGrouping, AggregatorGroup<TResult>) Returns a new matrix that aggregates the columns according to the specified grouping.
(Inherited from Matrix<T>)
AggregateColumnsBy<K, TResult>(IList<K>, AggregatorGroup<TResult>) Returns a new matrix that aggregates the columns grouped by the specified vector.
(Inherited from Matrix<T>)
AggregateColumnsListwise(TypePreservingAggregatorGroup) Applies the specified aggregator to all the columns in the matrix, treating rows that contain any missing values as completely missing.
(Inherited from Matrix<T>)
AggregateColumnsListwise<U>(AggregatorGroup<U>) Applies the specified aggregator to all the columns in the matrix, treating rows that contain any missing values as completely missing.
(Inherited from Matrix<T>)
AggregateRows(TypePreservingAggregatorGroup) Applies the specified aggregator to all the rows in the matrix.
(Inherited from Matrix<T>)
AggregateRows<TResult>(Aggregator<T, TResult>) Applies the specified aggregator to all the rows in the matrix.
(Inherited from Matrix<T>)
AggregateRows<U>(AggregatorGroup<U>) Applies the specified aggregator to all the rows in the matrix.
(Inherited from Matrix<T>)
AggregateRows<TResult>(AggregatorGroup<TResult>[]) Applies the specified aggregators to all the rows in the matrix.
(Inherited from Matrix<T>)
AggregateRows<TResult>(Func<Vector<T>, TResult>) Applies the specified aggregators to all the rows in the matrix.
(Inherited from Matrix<T>)
AggregateRowsBy<TResult>(IGrouping, Aggregator<T, TResult>) Returns a new matrix that aggregates the rows according to the specified grouping.
(Inherited from Matrix<T>)
AggregateRowsBy<TResult>(IGrouping, AggregatorGroup<TResult>) Returns a new matrix that aggregates the rows according to the specified grouping.
(Inherited from Matrix<T>)
AggregateRowsBy<C, TResult>(C, AggregatorGroup<TResult>) Returns a new matrix that aggregates the rows grouped by the specified row.
(Inherited from Matrix<T>)
AggregateRowsBy<K, U>(IList<K>, AggregatorGroup<U>) Returns a new matrix that aggregates the rows grouped by the specified vector.
(Inherited from Matrix<T>)
AggregateRowsBy<R, TResult>(R, Func<Vector<T>, TResult>) Applies the specified aggregation function to the values in each row grouped by the specified grouping row.
(Inherited from Matrix<T>)
ApplyMatrixFunction Computes a matrix function.
(Inherited from SymmetricMatrix<T>)
AsDenseMatrix Returns this matrix as a dense matrix.
(Inherited from Matrix<T>)
AsHermitianMatrix() Returns a matrix as a HermitianMatrix<T>, or null if the matrix is not hermitian.
(Inherited from Matrix<T>)
AsHermitianMatrix(MatrixTriangle) Returns a HermitianMatrix<T> extracted from a part of the matrix.
(Inherited from Matrix<T>)
AsinhInPlace Computes the inverse hyperbolic sine of the elements of a matrix in-place.
(Inherited from Matrix<T>)
AsinInPlace Computes the inverse sine of the elements of a matrix in-place.
(Inherited from Matrix<T>)
AsSymmetricMatrix() Returns a matrix as a SymmetricMatrix<T>, or null if the matrix is not symmetrical.
(Inherited from Matrix<T>)
AsSymmetricMatrix(MatrixTriangle) Returns a SymmetricMatrix<T> extracted from a part of the matrix.
(Inherited from Matrix<T>)
AtanhInPlace Computes the inverse hyperbolic tangent of the elements of a matrix in-place.
(Inherited from Matrix<T>)
AtanInPlace Computes the inverse tangent of the elements of a matrix in-place.
(Inherited from Matrix<T>)
CeilingInPlace Computes the smallest integer greater than or equal to the elements of a matrix in-place.
(Inherited from Matrix<T>)
Clone() Constructs a deep copy of this matrix.
(Inherited from Matrix<T>)
Clone(CloningMethod) Makes a copy of this vector using the specified method.
(Inherited from Matrix<T>)
CloneData Gives this instance its own copy of its elements.
(Overrides Matrix<T>.CloneData())
CloneShape Creates a new matrix that has the same number of rows and columns and optionally preserves the writable structure.
(Inherited from Matrix<T>)
Conjugate Returns the transpose of this instance.
(Inherited from Matrix<T>)
ConjugateInPlace Conjugates all elements of a matrix in-place.
(Inherited from Matrix<T>)
ConjugateTranspose Returns the transpose of this instance.
(Inherited from Matrix<T>)
CopyTo(Matrix<T>) Copies the elements of this matrix to another matrix.
(Inherited from Matrix<T>)
CopyTo(Array2D<T>, TransposeOperation) Copies the elements of this matrix to another matrix.
(Inherited from Matrix<T>)
CopyTo(Matrix<T>, TransposeOperation) Copies the elements of this matrix to another matrix.
(Inherited from Matrix<T>)
CopyToOrClone Copies the elements of this vector to another matrix, if it exists; otherwise clones the matrix using the specified method.
(Inherited from Matrix<T>)
CoshInPlace Computes the hyperbolic cosine of the elements of a matrix in-place.
(Inherited from Matrix<T>)
CosInPlace Computes the cosine of the elements of a matrix in-place.
(Inherited from Matrix<T>)
Dispose() Releases unmanaged resources.
(Inherited from Matrix<T>)
DivideInPlace Divides a matrix in-place by a scalar.
(Inherited from Matrix<T>)
ElementwiseDivideInPlace Divides this matrix in-place element-wise by another matrix.
(Inherited from Matrix<T>)
ElementwiseMultiplyInPlace Multiplies the elements of this instance by the corresponding elements of another matrix.
(Overrides Matrix<T>.ElementwiseMultiplyInPlace(Matrix<T>))
ElementwisePowInPlace(Int32) Raises the elements of a matrix in-place to a constant power.
(Inherited from Matrix<T>)
ElementwisePowInPlace(T) Raises the elements of a matrix in-place to a constant power.
(Inherited from Matrix<T>)
ElementwisePowInPlace(Matrix<T>) Raises this matrix in-place element-wise by another matrix.
(Inherited from Matrix<T>)
ElementwisePowInPlace(Vector<T>, Dimension) Raises this matrix in-place element-wise by a vector broadcast along the specified dimension.
(Inherited from Matrix<T>)
EnsureWritable() Ensures that the element at the specified index in the vector can be written to.
(Inherited from Matrix<T>)
EnsureWritable(Int32, Int32) Ensures that the element at the specified index in the vector can be written to.
(Inherited from Matrix<T>)
EnsureWritable(Int32, Int32, Int32, Int32) Ensures that the element at the specified index in the vector can be written to.
(Inherited from Matrix<T>)
Equals(Matrix<T>) Determines whether the specified Matrix<T> is equal to the current Matrix<T>.
(Inherited from Matrix<T>)
Equals(Object) Determines whether the specified Object is equal to the current Matrix<T>.
(Inherited from Matrix<T>)
Equals(Object, IEqualityComparer) Returns whether an object is structurally equal to this instance.
(Inherited from Matrix<T>)
EstimateConditionNumber Calculates an estimate for the condition number of the symmetric matrix.
(Inherited from SymmetricMatrix<T>)
ExpInPlace Computes the exponential of the elements of a matrix in-place.
(Inherited from Matrix<T>)
ExtractLowerTriangle Constructs a TriangularMatrix<T> whose elements are contained in the lower triangular portion of a SymmetricMatrix<T>.
(Overrides SymmetricMatrix<T>.ExtractLowerTriangle(MatrixDiagonal))
ExtractUpperTriangle Constructs an upper TriangularMatrix<T> whose elements are contained in the upper triangular portion of a SymmetricMatrix<T>.
(Overrides SymmetricMatrix<T>.ExtractUpperTriangle(MatrixDiagonal))
FillMissingValuesInPlace(T) Replaces all missing values in a matrix with the specified value in-place.
(Inherited from Matrix<T>)
FillMissingValuesInPlace(DimensionType, Direction) Replaces all missing values in each row or column in-place with the previous or next non-missing value.
(Inherited from Matrix<T>)
FillMissingValuesInPlace(Vector<T>, DimensionType) Replaces all missing values in each row or column of a matrix in-place with the corresponding value from a vector.
(Inherited from Matrix<T>)
FillMissingValuesInto(T, Matrix<T>) Replaces all missing values in a matrix with the specified value.
(Inherited from Matrix<T>)
FillMissingValuesInto(Vector<T>, DimensionType, Matrix<T>) Replaces all missing values in each row or column with the corresponding value from a vector.
(Inherited from Matrix<T>)
FillMissingValuesInto(DimensionType, Direction, Matrix<T>, Int32) Replaces all missing values in each row or column with the previous or next non-missing value.
(Inherited from Matrix<T>)
FloorInPlace Computes the largest integer less than or equal to the elements of a matrix in-place.
(Inherited from Matrix<T>)
FrobeniusNorm Returns the Frobenius norm of this matrix.
(Inherited from Matrix<T>)
Get<R, C> Gets the value with the specified key.
(Inherited from Matrix<T>)
GetCholeskyDecomposition() Returns the Cholesky decomposition of the matrix.
(Inherited from Matrix<T>)
GetCholeskyDecomposition(Boolean) Returns the Cholesky decomposition of the matrix.
(Inherited from SymmetricMatrix<T>)
GetColumn(Int32) Returns a column vector for this instance that points at the specified column.
(Inherited from Matrix<T>)
GetColumn(Int32, Intent) Returns a column vector for this instance that points at the specified column.
(Inherited from Matrix<T>)
GetColumn(Int32, Range) Returns a column vector for this instance starting at the specified column and row and of the specified length.
(Inherited from Matrix<T>)
GetColumn(Int32, Int32, Int32) Returns a column vector for this instance starting at the specified column and row and of the specified length.
(Inherited from Matrix<T>)
GetColumn(Int32, Int32, Int32, Int32) Returns a column vector for this instance starting at the specified column and row and of the specified length.
(Inherited from Matrix<T>)
GetColumn(Int32, Int32, Int32, Int32, Intent) Returns a column vector for this instance starting at the specified column and row and of the specified length.
(Inherited from Matrix<T>)
GetColumn<C>(C) Gets the column with the specified column key.
(Inherited from Matrix<T>)
GetColumnEnumerator Returns an enumerator that allows you to iterate over the columns of this instance.
(Inherited from Matrix<T>)
GetColumns(IEnumerable<Int32>) Returns a new matrix that contains only the columns in the specified sequence.
(Inherited from Matrix<T>)
GetColumns(Int32, Int32) Returns a matrix that contains only the specified columns of the current matrix.
(Inherited from Matrix<T>)
GetColumnSums Returns the sums of the elements of each column of the matrix.
(Inherited from Matrix<T>)
GetConditionNumber Calculates the condition number of this matrix.
(Inherited from Matrix<T>)
GetDeterminant Calculates the determinant of the symmetric matrix underlying this system of equations.
(Inherited from SymmetricMatrix<T>)
GetDiagonal() Gets a vector view of the diagonal elements of this instance.
(Inherited from Matrix<T>)
GetDiagonal(Int32) Gets a vector view of the specified diagonal of this instance.
(Inherited from Matrix<T>)
GetDiagonal(Int32, Intent) Gets a vector view of the specified diagonal of this instance.
(Overrides Matrix<T>.GetDiagonal(Int32, Intent))
GetEigenvalueDecomposition() Returns the eigenvalue decomposition for this matrix.
(Inherited from Matrix<T>)
GetEigenvalueDecomposition(Boolean) Returns the eigenvalue decomposition for this matrix.
(Inherited from SymmetricMatrix<T>)
GetEigenvalueDecomposition(Matrix<T>) Returns the generalized eigenvalue decomposition for this matrix and another matrix.
(Inherited from Matrix<T>)
GetEigenvalueDecomposition(Matrix<T>, Boolean) Returns the generalized eigenvalue decomposition for this matrix and another matrix.
(Inherited from SymmetricMatrix<T>)
GetEigenvalues Gets a vector containing the eigenvalues of the matrix.
(Inherited from SymmetricMatrix<T>)
GetExponential Computes the matrix exponential of a square matrix.
(Inherited from Matrix<T>)
GetHashCode() Returns the hash code for this instance.
(Inherited from Matrix<T>)
GetHashCode(IEqualityComparer) Returns a hash code for this instance.
(Inherited from Matrix<T>)
GetHermitianIndefiniteDecomposition() Returns the Hermitian indefinite (Bunch-Kaufman) decomposition of the matrix.
(Inherited from Matrix<T>)
GetHermitianIndefiniteDecomposition(Boolean) Returns the Hermitian indefinite (Bunch-Kaufman) decomposition of the matrix.
(Inherited from Matrix<T>)
GetInverse() Calculates the inverse matrix..
(Inherited from LinearOperator<T>)
GetInverse(Boolean) Calculates the inverse matrix.
(Inherited from SymmetricMatrix<T>)
GetLQDecomposition() Returns the LQ decomposition of the matrix.
(Inherited from Matrix<T>)
GetLQDecomposition(Boolean) Returns the LQ decomposition of the matrix.
(Inherited from Matrix<T>)
GetLUDecomposition() Returns the LU decomposition of the matrix.
(Inherited from Matrix<T>)
GetLUDecomposition(Boolean) Returns the LU decomposition of the matrix.
(Inherited from Matrix<T>)
GetNearestColumn<C> Gets the column nearest to the specified column key.
(Inherited from Matrix<T>)
GetNearestColumns<C> Returns a new matrix that contains only the columns in the specified sequence.
(Inherited from Matrix<T>)
GetNearestRow<R> Gets the row nearest to the specified row key.
(Inherited from Matrix<T>)
GetNearestRows<R> Returns a new matrix that contains only the rows in the specified sequence.
(Inherited from Matrix<T>)
GetObjectData Populates a SerializationInfo with the values needed to serialize the target object.
(Overrides Matrix<T>.GetObjectData(SerializationInfo, StreamingContext))
Obsolete.
GetParallelColumnEnumerator Returns a partitioner that allows you to iterate over the rows of this instance in parallel.
(Inherited from Matrix<T>)
GetParallelRowEnumerator Returns a partitioner that allows you to iterate over the rows of this instance in parallel.
(Inherited from Matrix<T>)
GetPseudoInverse Calculates the Moore-Penrose pseudo-inverse of this matrix.
(Inherited from Matrix<T>)
GetQLDecomposition() Returns the QL decomposition of the matrix.
(Inherited from Matrix<T>)
GetQLDecomposition(Boolean) Returns the QL decomposition of the matrix.
(Inherited from Matrix<T>)
GetQRDecomposition() Returns the QR decomposition of the matrix.
(Inherited from Matrix<T>)
GetQRDecomposition(Boolean) Returns the QR decomposition of the matrix.
(Inherited from Matrix<T>)
GetRow(Int32) Returns a row vector for this instance that points at the specified row.
(Inherited from Matrix<T>)
GetRow(Int32, Intent) Returns a row vector for this instance that points at the specified row.
(Inherited from Matrix<T>)
GetRow(Int32, Range) Returns a row vector for this instance starting at the specified row and column and of the specified length.
(Inherited from Matrix<T>)
GetRow(Int32, Int32, Int32) Returns a row vector for this instance over the specified range.
(Inherited from Matrix<T>)
GetRow(Int32, Int32, Int32, Intent) Returns a row vector for this instance over the specified range.
(Inherited from Matrix<T>)
GetRow(Int32, Int32, Int32, Int32) Returns a row vector for this instance starting at the specified row and column and of the specified length.
(Inherited from Matrix<T>)
GetRow(Int32, Int32, Int32, Int32, Intent) Returns a row vector for this instance starting at the specified row and column and of the specified length.
(Inherited from Matrix<T>)
GetRow<R>(R) Gets the row with the specified row key.
(Inherited from Matrix<T>)
GetRowEnumerator Returns an enumerator that allows you to iterate over the rows of this instance.
(Inherited from Matrix<T>)
GetRows(Subset) Returns a matrix containing only the rows in the specified subset.
(Inherited from Matrix<T>)
GetRows(Int32, Int32) Returns a matrix that contains only the specified rows of the current matrix.
(Inherited from Matrix<T>)
GetRows<R>(IEnumerable<R>) Returns a new matrix that contains only the rows in the specified sequence.
(Inherited from Matrix<T>)
GetRowSums Returns the sums of the elements of each row of the matrix.
(Inherited from Matrix<T>)
GetRQDecomposition() Returns the RQ decomposition of the matrix.
(Inherited from Matrix<T>)
GetRQDecomposition(Boolean) Returns the RQ decomposition of the matrix.
(Inherited from Matrix<T>)
GetSchurDecomposition() Returns the Schur decomposition for this matrix.
(Inherited from Matrix<T>)
GetSchurDecomposition(Boolean) Returns the Schur decomposition for this matrix.
(Inherited from Matrix<T>)
GetSchurDecomposition(Matrix<T>) Returns the generalized Schur decomposition (QZ decomposition) for this matrix and a secondary matrix.
(Inherited from Matrix<T>)
GetSchurDecomposition(Matrix<T>, Boolean) Returns the generalized Schur decomposition (QZ decomposition) for this matrix and a secondary matrix.
(Inherited from Matrix<T>)
GetSingularValueDecomposition() Returns the singular value decomposition of the matrix.
(Inherited from Matrix<T>)
GetSingularValueDecomposition(Matrix<T>) Returns the generalized singular value decomposition of the matrix and another matrix.
(Inherited from Matrix<T>)
GetSingularValueDecomposition(SingularValueDecompositionFactors) Returns the singular value decomposition of the matrix.
(Inherited from Matrix<T>)
GetSingularValueDecomposition(Matrix<T>, GeneralizedSingularValueDecompositionFactors) Returns the generalized singular value decomposition of the matrix and another matrix.
(Inherited from Matrix<T>)
GetSingularValueDecomposition(SingularValueDecompositionFactors, Boolean) Returns the singular value decomposition of the matrix.
(Inherited from Matrix<T>)
GetSingularValueDecomposition(Matrix<T>, GeneralizedSingularValueDecompositionFactors, Boolean) Returns the generalized singular value decomposition of the matrix and another matrix.
(Inherited from Matrix<T>)
GetSingularValues Gets a vector containing the singular values of the matrix.
(Inherited from Matrix<T>)
GetSubmatrix(Range, Range) Returns a sub-matrix of this instance.
(Inherited from Matrix<T>)
GetSubmatrix(Range, Range, TransposeOperation) Returns a sub-matrix of this instance.
(Inherited from Matrix<T>)
GetSubmatrix(Int32, Int32, Int32, Int32) Returns a sub-matrix of this instance.
(Inherited from Matrix<T>)
GetSubmatrix(Int32, Int32, Int32, Int32, Int32, Int32, TransposeOperation, Intent) Returns a sub-matrix of this instance.
(Inherited from Matrix<T>)
GetSymmetricIndefiniteDecomposition() Returns the symmetric indefinite (Bunch-Kaufman) decomposition of the matrix.
(Inherited from Matrix<T>)
GetSymmetricIndefiniteDecomposition(Boolean) Returns the Cholesky decomposition of the matrix.
(Inherited from SymmetricMatrix<T>)
GetTypeGets the Type of the current instance.
(Inherited from Object)
GetValue(Int32, Int32) Gets the matrix component at the specified position.
(Overrides Matrix<T>.GetValue(Int32, Int32))
GetValue<R, C>(R, C) Gets the value at the specified row and column keys.
(Inherited from Matrix<T>)
Preliminary
GetValues Infrastructure.
(Inherited from Matrix<T>)
Preliminary
InfinityNorm Returns the infinity norm of this matrix.
(Inherited from Matrix<T>)
IsElementWritable Gets whether the value of the element at the specified row and column can be changed.
(Inherited from SymmetricMatrix<T>)
IsMissing Returns whether the value at the specified index is missing.
(Inherited from Matrix<T>)
IsSingular Gets whether the symmetric matrix is singular.
(Inherited from SymmetricMatrix<T>)
LeastSquaresSolve(Matrix<T>) Solves the system of linear equations for the specified right-hand side matrix in the least squares sense.
(Inherited from LinearOperator<T>)
LeastSquaresSolve(Vector<T>) Solves the system of linear equations for the specified right-hand side vector.
(Inherited from LinearOperator<T>)
LeastSquaresSolve(DenseMatrix<T>, Boolean) Solves the system of linear equations for the specified right-hand side dense matrix in the least squares sense and optionally overwrites the right-hand side with the solution.
(Inherited from LinearOperator<T>)
LeastSquaresSolve(DenseVector<T>, Boolean) Solves the system of linear equations for the specified right-hand side dense vector in the least squares sense and optionally overwrites the right-hand side with the solution.
(Inherited from LinearOperator<T>)
LeastSquaresSolveInto(Matrix<T>, Matrix<T>) Solves a system of equations defined by the matrix and multiple right-hand sides in the least squares sense.
(Inherited from Matrix<T>)
LeastSquaresSolveInto(Vector<T>, Vector<T>) Solves a system of equations defined by the matrix and the specified right-hand side in the least squares sense.
(Inherited from Matrix<T>)
Log10InPlace Computes the logarithm of the elements of a matrix in-place.
(Inherited from Matrix<T>)
LogInPlace() Computes the logarithm of the elements of a matrix in-place.
(Inherited from Matrix<T>)
LogInPlace(T) Computes the logarithm of the elements of a matrix in-place.
(Inherited from Matrix<T>)
MapColumns<U> Applies a vector function to each column in a matrix and returns the result as a matrix.
(Inherited from Matrix<T>)
MapColumnsInPlace Applies a function to each column in a matrix in-place.
(Inherited from Matrix<T>)
MapColumnsInto<U> Applies a vector function to each column in a matrix and returns the result as a matrix.
(Inherited from Matrix<T>)
MapInPlace(Func<T, T>) Applies a function in-place to the elements of a matrix.
(Inherited from Matrix<T>)
MapInPlace<U>(Func<T, U, T>, Matrix<U>) Applies a function to the elements of a matrix.
(Inherited from Matrix<T>)
MapInto<U> Applies a function to the elements of a matrix.
(Inherited from Matrix<T>)
MapRows<U> Applies a vector function to each row in a matrix and returns the result as a matrix.
(Inherited from Matrix<T>)
MapRowsInPlace Applies a function to each column in a matrix and returns the result as a vector.
(Inherited from Matrix<T>)
MapRowsInto<U> Applies a vector function to each row in a matrix and returns the result as a matrix.
(Inherited from Matrix<T>)
Max Returns the value of the largest element in this matrix.
(Inherited from Matrix<T>)
Min Returns the value of the smallest element in this matrix.
(Inherited from Matrix<T>)
Multiply(Matrix<T>)Applies the linear operator to a matrix.
(Inherited from LinearOperator<T>)
Multiply(Vector<T>)Applies the linear operator to a vector.
(Inherited from LinearOperator<T>)
MultiplyInPlace Multiplies this matrix by a scalar factor.
(Overrides Matrix<T>.MultiplyInPlace(T))
MultiplySymmetric Computes the symmetric product of a vector and this matrix.
(Inherited from SymmetricMatrix<T>)
MultiplyTranspose(Matrix<T>)Applies the transpose of the linear operator to a matrix.
(Inherited from LinearOperator<T>)
MultiplyTranspose(Vector<T>)Applies the (conjugate) transpose of the linear operator to a vector.
(Inherited from LinearOperator<T>)
NegateInPlace Negates a matrix in-place.
(Inherited from Matrix<T>)
OneNorm Returns the 1-norm of this matrix.
(Inherited from Matrix<T>)
PermuteColumnsInPlace Permutes the columns of the matrix using the specified Permutation.
(Inherited from Matrix<T>)
PermuteRowsAndColumnsInPlace(Permutation) Permutes the rows and columns of the matrix using the specified Permutation.
(Inherited from SymmetricMatrix<T>)
PermuteRowsAndColumnsInPlace(Permutation, Permutation) Permutes the rows and columns of the matrix using the specified row and column Permutation.
(Inherited from Matrix<T>)
PermuteRowsInPlace Permutes the rows of the matrix using the specified Permutation.
(Inherited from Matrix<T>)
Protect Returns a read-only copy of the matrix.
(Inherited from Matrix<T>)
ProtectInPlace Protects the matrix from changes.
(Inherited from Matrix<T>)
Rank() Returns the numerical rank of a matrix.
(Inherited from LinearOperator<T>)
Rank(T) Returns the numerical rank of a matrix using the specified tolerance.
(Inherited from Matrix<T>)
Reduce<U> Applies a function to each row or column in a matrix and returns the result as a vector.
(Inherited from Matrix<T>)
ReduceColumns<U> Applies a function to each column in a matrix and returns the result as a vector.
(Inherited from Matrix<T>)
ReduceColumnsInto<U> Applies a function to each column in a matrix and returns the result as a vector.
(Inherited from Matrix<T>)
ReduceRows<U> Applies a function to each row in a matrix and returns the result as a vector.
(Inherited from Matrix<T>)
ReduceRowsInto<U> Applies a function to each row in a matrix and returns the result as a vector.
(Inherited from Matrix<T>)
RemoveWithMissingValues Returns a new matrix that has the rows or columns that contain missing values removed.
(Inherited from Matrix<T>)
Reshape Returns a matrix that contains the same elements listed columnwise.
(Inherited from Matrix<T>)
ReshapeAsVector Returns a vector that contains the columnwise matrix elements.
(Inherited from Matrix<T>)
ScaleColumnsInPlace Scales the columns of the matrix by the values specified by a vector.
(Inherited from Matrix<T>)
ScaleRowsAndColumnsInPlace Scales the rows and columns of the matrix by the values specified by a vector.
(Inherited from SymmetricMatrix<T>)
ScaleRowsInPlace Scales the rows of the matrix by the values specified by a vector.
(Inherited from Matrix<T>)
SetToZero Sets all elements of the matrix to zero.
(Inherited from Matrix<T>)
SetValue(T) Sets all elements of the matrix to the specified value.
(Inherited from Matrix<T>)
SetValue(T, Int32, Int32) Sets the matrix component at the specified position to the specified value.
(Overrides Matrix<T>.SetValue(T, Int32, Int32))
SetValue<R, C>(T, R, C) Sets the value at the specified row and column key value.
(Inherited from Matrix<T>)
Preliminary
ShallowCopy Makes a shallow copy of this matrix.
(Inherited from Matrix<T>)
SinhInPlace Computes the hyperbolic sine of the elements of a matrix in-place.
(Inherited from Matrix<T>)
SinInPlace Computes the sine of the elements of a matrix in-place.
(Inherited from Matrix<T>)
Solve(Matrix<T>) Solves the system of linear equations for the specified right-hand side matrix.
(Inherited from LinearOperator<T>)
Solve(Vector<T>) Solves the system of linear equations for the specified right-hand side vector.
(Inherited from LinearOperator<T>)
Solve(DenseMatrix<T>, Boolean) Solves the system of linear equations for the specified right-hand side dense matrix and optionally overwrites the right-hand side with the solution.
(Inherited from LinearOperator<T>)
Solve(DenseVector<T>, Boolean) Solves the system of linear equations for the specified right-hand side dense vector and optionally overwrites the right-hand side with the solution.
(Inherited from LinearOperator<T>)
SolveInto(Matrix<T>, Matrix<T>) Solves a system of equations defined by the matrix and multiple right-hand sides.
(Inherited from LinearOperator<T>)
SolveInto(Vector<T>, Vector<T>) Solves a system of equations defined by the matrix and the specified right-hand side.
(Inherited from LinearOperator<T>)
SolveInto(TransposeOperation, Matrix<T>, Matrix<T>) Solves a system of equations defined by the matrix and multiple right-hand sides.
(Inherited from SymmetricMatrix<T>)
SolveInto(TransposeOperation, Vector<T>, Vector<T>) Solves a system of equations defined by the matrix and the specified right-hand side.
(Inherited from SymmetricMatrix<T>)
SolveTranspose(Matrix<T>) Solves the transposed system of linear equations for the specified right-hand side matrix.
(Inherited from LinearOperator<T>)
SolveTranspose(Vector<T>) Solves the system of linear equations for the specified right-hand side vector.
(Inherited from LinearOperator<T>)
SolveTranspose(DenseMatrix<T>, Boolean) Solves the transposed system of linear equations for the specified right-hand side dense matrix and optionally overwrites the right-hand side with the solution.
(Inherited from LinearOperator<T>)
SolveTranspose(DenseVector<T>, Boolean) Solves the transposed system of linear equations for the specified right-hand side dense vector and optionally overwrites the right-hand side with the solution.
(Inherited from LinearOperator<T>)
SolveTransposeInto(Matrix<T>, Matrix<T>) Solves a system of equations defined by the matrix and multiple right-hand sides.
(Inherited from LinearOperator<T>)
SolveTransposeInto(Vector<T>, Vector<T>) Solves a system of equations defined by the matrix and the specified right-hand side.
(Inherited from LinearOperator<T>)
SortColumns() Sorts each column of the matrix in ascending order.
(Inherited from Matrix<T>)
SortColumns(SortOrder) Sorts each column of the matrix in the specified order.
(Inherited from Matrix<T>)
SortRows() Sorts each row of the matrix in ascending order.
(Inherited from Matrix<T>)
SortRows(SortOrder) Sorts each row of the matrix in the specified order.
(Inherited from Matrix<T>)
SqrtInPlace Computes the square root of the elements of a matrix in-place.
(Inherited from Matrix<T>)
SubtractInPlace(T) Subtracts a scalar value from the elements of this matrix in-place.
(Inherited from Matrix<T>)
SubtractInPlace(Matrix<T>) Subtracts another matrix from this matrix in-place.
(Inherited from Matrix<T>)
SubtractInPlace(Vector<T>, Dimension) Subtracts a vector broadcast along the specified dimension from this matrix in-place.
(Inherited from Matrix<T>)
SubtractOuterProduct(Matrix<T>) Updates a symmetric matrix by subtracting the product of a matrix and its transpose.
(Inherited from SymmetricMatrix<T>)
SubtractOuterProduct(Vector<T>) Updates a symmetric matrix with the outer product of a vector and its transpose.
(Inherited from SymmetricMatrix<T>)
Sum Returns the sum of the elements of the matrix.
(Inherited from Matrix<T>)
Summarize() Returns a summary of the contents of the matrix using the default summary options.
(Inherited from Matrix<T>)
Summarize(SummaryOptions) Returns a summary of the contents of the matrix using the specified options.
(Inherited from Matrix<T>)
SwapColumns Swaps the columns with the specified indices.
(Inherited from Matrix<T>)
SwapRows Swaps the rows with the specified indices.
(Inherited from Matrix<T>)
SwapRowsAndColumns Swaps the elements in the specified rows and columns.
(Overrides SymmetricMatrix<T>.SwapRowsAndColumns(Int32, Int32))
TanhInPlace Computes the hyperbolic tangent of the elements of a matrix in-place.
(Inherited from Matrix<T>)
TanInPlace Computes the tangent of the elements of a matrix in-place.
(Inherited from Matrix<T>)
ToArray() Gets the elements of the vector.
(Inherited from Matrix<T>)
ToArray(MatrixElementOrder) Gets the elements of the matrix.
(Inherited from Matrix<T>)
ToArray2D Gets the elements of the matrix.
(Inherited from Matrix<T>)
ToDataFrame<R, C>() Converts a matrix to a data frame with the same row and column indexes.
(Inherited from Matrix<T>)
ToDataFrame<R, C>(Index<R>, Index<C>) Converts a matrix to a data frame with the same row and column indexes.
(Inherited from Matrix<T>)
ToDenseMatrix Makes a copy of this instance and returns it as a dense matrix.
(Inherited from Matrix<T>)
ToHermitianMatrix Returns a new HermitianMatrix<T> extracted from a part of the matrix.
(Inherited from Matrix<T>)
ToMemory2D Gets the elements of the matrix.
(Inherited from Matrix<T>)
ToString()Returns a string that represents the current object.
(Inherited from Matrix<T>)
ToString(String) Returns a String representation of this Matrix<T>.
(Inherited from Matrix<T>)
ToString(String, IFormatProvider) Returns a String representation of this Matrix<T>.
(Inherited from Matrix<T>)
ToSymmetricMatrix Returns a new SymmetricMatrix<T> extracted from a part of the matrix.
(Inherited from Matrix<T>)
Trace Gets the sum of the diagonal elements of this matrix.
(Inherited from Matrix<T>)
Transpose Returns the transpose of this instance.
(Inherited from SymmetricMatrix<T>)
TryEnsureWritable() Ensures that the element at the specified index in the vector can be written to.
(Inherited from Matrix<T>)
TryEnsureWritable(Int32, Int32) Ensures that the element at the specified index in the vector can be written to.
(Inherited from Matrix<T>)
TryEnsureWritable(Int32, Int32, Int32, Int32) Ensures that the element at the specified index in the vector can be written to.
(Inherited from Matrix<T>)
TwoNorm Returns the two-norm of this matrix.
(Inherited from Matrix<T>)
UnscaleColumnsInPlace Unscales the columns of the matrix by the reciprocal of the values specified by a vector.
(Inherited from Matrix<T>)
UnscaleRowsAndColumnsInPlace Scales the rows and columns of the matrix by the values specified by a vector.
(Inherited from SymmetricMatrix<T>)
UnscaleRowsInPlace Unscales the rows of the matrix by the reciprocal of the values specified by a vector.
(Inherited from Matrix<T>)

Extension Methods

Abs<T> Computes the absolute value of the elements of a matrix.
(Defined by Matrix)
Acos<T> Computes the inverse cosine of the elements of a matrix.
(Defined by Matrix)
Acosh<T> Computes the inverse hyperbolic cosine of the elements of a matrix.
(Defined by Matrix)
AddScaledProduct<T> Adds the scaled product of two matrices to another matrix.
(Defined by Matrix)
AddScaledProduct<T> Adds the scaled product of two matrices to another matrix.
(Defined by Matrix)
Asin<T> Computes the inverse sine of the elements of a matrix.
(Defined by Matrix)
Asinh<T> Computes the inverse hyperbolic sine of the elements of a matrix.
(Defined by Matrix)
Atan<T> Computes the inverse tangent of the elements of a matrix.
(Defined by Matrix)
Atanh<T> Computes the inverse hyperbolic tangent of the elements of a matrix.
(Defined by Matrix)
Ceiling<T> Computes the smallest integer greater than or equal to the elements of a matrix.
(Defined by Matrix)
ColumnMeans<T> Returns a vector containing the means of the columns of a matrix.
(Defined by Stats)
Conjugate<T> Returns the conjugate of a matrix.
(Defined by Matrix)
ConjugateInto<T> Conjugates the elements of a matrix.
(Defined by Matrix)
Cos<T> Computes the cosine of the elements of a matrix.
(Defined by Matrix)
Cosh<T> Computes the hyperbolic cosine of the elements of a matrix.
(Defined by Matrix)
CovarianceMatrix<T> Returns the covariance matrix for the columns in a matrix.
(Defined by Stats)
Exp<T> Computes the exponential of the elements of a matrix.
(Defined by Matrix)
Floor<T> Computes the largest integer less than or equal to the elements of a matrix.
(Defined by Matrix)
Log<T> Returns a matrix whose elements are the logarithms of the elements of another matrix.
(Defined by Matrix)
Log10<T> Returns a matrix whose elements are the base 10 logarithms of the elements of another matrix.
(Defined by Matrix)
Max<T> Returns a matrix whose elements are the maximums of the components of two vectors.
(Defined by Matrix)
Max<T> Returns a matrix whose elements are the maximum of the components of a matrix and a real number.
(Defined by Matrix)
MaxInto<T> Returns a matrix whose elements are the maximums of the components of two vectors.
(Defined by Matrix)
MaxInto<T> Returns a matrix whose elements are the maximum of the components of a matrix and a real number.
(Defined by Matrix)
Min<T> Returns a matrix whose elements are the minimums of the components of two vectors.
(Defined by Matrix)
Min<T> Returns a matrix whose elements are the minimum of the components of a matrix and a real number.
(Defined by Matrix)
MinInto<T> Returns a matrix whose elements are the minimums of the components of two vectors.
(Defined by Matrix)
MinInto<T> Returns a matrix whose elements are the minimum of the components of a matrix and a real number.
(Defined by Matrix)
Reciprocal<T> Returns a matrix whose elements are the inverses (reciprocals) of the components of another matrix.
(Defined by Matrix)
ReciprocalInto<T> Computes the inverses (reciprocals) of the elements of a matrix.
(Defined by Matrix)
RowMeans<T> Returns a vector containing the means of the rows of a matrix.
(Defined by Stats)
Sin<T> Computes the sine of the elements of a matrix.
(Defined by Matrix)
Sinh<T> Computes the hyperbolic sine of the elements of a matrix.
(Defined by Matrix)
Sqrt<T> Computes the square root of the elements of a matrix.
(Defined by Matrix)
Tan<T> Computes the tangent of the elements of a matrix.
(Defined by Matrix)
Tanh<T> Computes the hyperbolic tangent of the elements of a matrix.
(Defined by Matrix)
ToJson<T> Returns a string containing a matrix in JSON format.
(Defined by JsonFile)

See Also