Sparse Compressed Column Matrix<T> Class
Definition
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
[SerializableAttribute]
public sealed class SparseCompressedColumnMatrix<T> : SparseMatrix<T>,
IResizableMatrix<T>, ISerializable
- Inheritance
- Object → LinearOperator<T> → Matrix<T> → SparseMatrix<T> → SparseCompressedColumnMatrix<T>
- Implements
- IResizableMatrix<T>, ISerializable
Type Parameters
- T
Remarks
Use the SparseCompressedColumnMatrix<T> class to represent sparse matrices. Only the nonzero elements of the matrix are stored. This not only saves memory, but also allows many calculations to be performed faster.
The compressed sparse column format stores the components in column-major order. Within each column, only the row indexes and the values of the nonzero components are stored.
The components of a sparse matrix can be specified in a variety of ways. A common method is to supply the rows, columns, and values of the nonzero components. Another way is to build up the matrix using the
Insertmethods: InsertEntry(T, Int32, Int32), InsertEntries(T[], Int32[], Int32[]), InsertRow(Int32, T[], Int32[]), InsertColumn(Int32, T[], Int32[]), InsertClique(UTP[], Int32[], Int32[]). Individual components can also be set, but this is generally less efficient.
Sparse matrices can also be read directly from values files in Matrix Market format.
The NonzeroCount property returns the number of nonzero components. The FillFactor property returns a number between 0 and 1 that is the proportion of nonzero components to the total number of components in the matrix. To iterate through the nonzero components of a sparse matrix, use the NonzeroElements property. This property enumerates RowColumnValueTriplet<T> objects, each containing the row, column, and value of a nonzero component.
A disadvantage of sparse matrices is that working with individual components tends to be slower. Every access usually requires a lookup in a list. To avoid duplicate lookups for elementary operations on components, use one of the specialized methods: AddAt(Int32, Int32, T), SubtractAt(Int32, Int32, T), MultiplyAt(Int32, Int32, T) and DivideAt(Int32, Int32, T).
Properties
Can |
Gets whether the matrix can be reshaped into a vector or a matrix.
(Inherited from Matrix<T>) |
Column |
Gets the number of columns in the matrix.
(Inherited from LinearOperator<T>) |
Column |
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>) |
Columnwise |
Enumerates the elements of the matrix column by column.
(Inherited from Matrix<T>) |
Diagonal |
Gets a value that indicates whether the diagonal elements of
a triangular sparse matrix are all equal to 1.
(Inherited from SparseMatrix<T>) Obsolete. |
Element |
Gets a value indicating the order in which the matrix
elements are stored.
(Overrides Matrix<T>.ElementOrder) |
Element |
Gets the element type of the matrix.
(Inherited from LinearOperator<T>) |
Fill |
Gets the fraction of nonzero components in the matrix.
(Inherited from SparseMatrix<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>) |
IsLower |
Gets a value indicating whether this
instance is lower triangular.
(Overrides Matrix<T>.IsLowerTriangular) |
IsRead |
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 SparseMatrix<T>) |
IsSymmetrical |
Gets a value that indicates if the matrix is symmetrical about the main diagonal.
(Overrides Matrix<T>.IsSymmetrical) |
IsUnit |
Gets a value indicating whether all diagonal elements
of this instance are equal to 1.
(Inherited from Matrix<T>) |
IsUpper |
Gets a value indicating whether this
instance is storedTriangle triangular.
(Overrides Matrix<T>.IsUpperTriangular) |
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>) |
Matrix |
Gets a value indicating whether all diagonal elements
of this instance are structurally equal to 1.
(Inherited from Matrix<T>) |
Matrix |
Gets a value that indicates whether a triangular matrix
is upper or lower triangular.
(Inherited from Matrix<T>) |
Nonzero |
Gets a collection of the nonzero elements of the matrix.
(Inherited from Matrix<T>) Obsolete. |
Nonzero |
Gets the number of nonzero components in the matrix.
(Inherited from SparseMatrix<T>) |
Nonzero |
Gets a collection of the nonzero elements of the matrix.
(Overrides Matrix<T>.NonzeroElements) |
Precedence |
Infrastructure. This property supports the Numerical Libraries for .NET
infrastructure and is not intended to be used directly from your code.
(Inherited from Matrix<T>) |
Row |
Gets the number of rows in the matrix.
(Inherited from LinearOperator<T>) |
Row |
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>) |
Rowwise |
Enumerates the elements of the matrix column by column.
(Inherited from Matrix<T>) |
Structure |
Gets a value that indicates the structure of the sparse matrix.
(Inherited from Matrix<T>) |
Writable |
Enumerates the writable elements of the matrix column by column.
(Inherited from Matrix<T>) |
Methods
Abs |
Computes the absolute value of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Absolute |
Returns the value of the element in this
matrix that has the largest absolute
value.
(Inherited from Matrix<T>) |
Absolute |
Returns the value of the element in this
matrix that has the smallest absolute
value.
(Inherited from Matrix<T>) |
Acosh |
Computes the inverse hyperbolic cosine of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Acos |
Computes the inverse cosine of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Add |
Adds a constant to a matrix and returns the result.
(Inherited from Matrix<T>) Obsolete. |
Add |
Adds a value to the component at the specified location.
(Overrides SparseMatrix<T>.AddAt(Int32, Int32, T)) |
Add |
Adds a scalar to a matrix.
(Inherited from Matrix<T>) |
Add |
Adds another matrix to this matrix in-place.
(Inherited from Matrix<T>) |
Add |
Adds a vector broadcast along the specified dimension to this matrix in-place.
(Inherited from Matrix<T>) |
Add |
Adds the product of two matrices to this matrix.
(Inherited from Matrix<T>) |
Add |
Adds the product of two matrices to this matrix.
(Inherited from Matrix<T>) |
Add |
Multiplies a Vector<T> by this instance
and stores the result in a second vector of type DenseVector<T>.
(Inherited from LinearOperator<T>) Obsolete. |
Add |
Adds a scaled matrix to this matrix.
(Inherited from Matrix<T>) |
Add |
Adds a multiple of the scaled product of two matrices to this matrix.
(Inherited from Matrix<T>) |
Add |
Adds the scaled product of two matrices to another matrix.
(Inherited from Matrix<T>) |
Aggregate |
Applies the specified aggregator to all the columns in the matrix.
(Inherited from Matrix<T>) |
Aggregate |
Applies the specified aggregator to all the columns in the matrix.
(Inherited from Matrix<T>) |
Aggregate |
Applies the specified aggregators to all the columns in the matrix.
(Inherited from Matrix<T>) |
Aggregate |
Applies the specified aggregators to all the columns in the matrix.
(Inherited from Matrix<T>) |
Aggregate |
Returns a new matrix that aggregates the columns according to the specified grouping.
(Inherited from Matrix<T>) |
Aggregate |
Returns a new matrix that aggregates the columns grouped by the specified vector.
(Inherited from Matrix<T>) |
Aggregate |
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>) |
Aggregate |
Applies the specified aggregator to all the rows in the matrix.
(Inherited from Matrix<T>) |
Aggregate |
Applies the specified aggregator to all the rows in the matrix.
(Inherited from Matrix<T>) |
Aggregate |
Applies the specified aggregators to all the rows in the matrix.
(Inherited from Matrix<T>) |
Aggregate |
Applies the specified aggregators to all the rows in the matrix.
(Inherited from Matrix<T>) |
Aggregate |
Returns a new matrix that aggregates the rows according to the specified grouping.
(Inherited from Matrix<T>) |
Aggregate |
Returns a new matrix that aggregates the rows grouped by the specified row.
(Inherited from Matrix<T>) |
Aggregate |
Returns a new matrix that aggregates the rows grouped by the specified vector.
(Inherited from Matrix<T>) |
Aggregate |
Applies the specified aggregation function to the values
in each row grouped by the specified grouping row.
(Inherited from Matrix<T>) |
AsDense |
Returns this matrix as a dense matrix.
(Inherited from Matrix<T>) |
AsHermitian |
Returns a matrix as a HermitianMatrix<T>,
or null if the matrix is not hermitian.
(Inherited from Matrix<T>) |
AsHermitian |
Returns a HermitianMatrix<T> extracted from a part of the matrix.
(Inherited from Matrix<T>) |
Asinh |
Computes the inverse hyperbolic sine of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Asin |
Computes the inverse sine of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
AsSymmetric |
Returns a matrix as a SymmetricMatrix<T>,
or null if the matrix is not symmetrical.
(Inherited from Matrix<T>) |
AsSymmetric |
Returns a SymmetricMatrix<T> extracted from a part of the matrix.
(Inherited from Matrix<T>) |
Atanh |
Computes the inverse hyperbolic tangent of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Atan |
Computes the inverse tangent of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Ceiling |
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( |
Makes a copy of this vector using the specified
method.
(Overrides Matrix<T>.Clone(CloningMethod)) |
Clone |
Gives this instance its own copy of its elements.
(Overrides Matrix<T>.CloneData()) |
Clone |
Creates a new matrix that has the same number of rows and columns
and optionally preserves the writable structure.
(Inherited from Matrix<T>) |
Compact | Sets the capacity to the actual number of nonzero components of the SparseCompressedColumnMatrix<T>. |
Componentwise |
Divides the elements of this instance by the corresponding
elements of another matrix.
(Inherited from Matrix<T>) Obsolete. |
Componentwise |
Multiplies the elements of this instance by the corresponding
elements of another matrix.
(Inherited from Matrix<T>) Obsolete. |
Conjugate |
Returns the transpose of this instance.
(Inherited from Matrix<T>) |
Conjugate |
Conjugates all elements of a matrix in-place.
(Inherited from Matrix<T>) |
Conjugate |
Returns the transpose of this instance.
(Inherited from Matrix<T>) |
Copy |
Copies the elements of this matrix
to another matrix.
(Inherited from Matrix<T>) |
Copy |
Copies the elements of this matrix
to another matrix.
(Inherited from Matrix<T>) |
Copy |
Copies the components of this matrix
to another matrix.
(Overrides Matrix<T>.CopyTo(Matrix<T>, TransposeOperation)) |
Copy |
Copies the elements of this vector to another matrix, if it exists;
otherwise clones the matrix using the specified method.
(Inherited from Matrix<T>) |
Cosh |
Computes the hyperbolic cosine of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Cos |
Computes the cosine of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Create | Returns an identity matrix as a sparse matrix. |
Dispose() |
Releases unmanaged resources.
(Inherited from Matrix<T>) |
Divide |
Divides the component at the specified location by a value.
(Overrides SparseMatrix<T>.DivideAt(Int32, Int32, T)) |
Divide |
Divides a matrix in-place by a scalar.
(Inherited from Matrix<T>) |
Drop | Removes elements that meet the specified condition. |
Elementwise |
Divides the components of this instance by the corresponding
components of another matrix.
(Overrides Matrix<T>.ElementwiseDivideInPlace(Matrix<T>)) |
Elementwise |
Multiplies the components of this instance by the corresponding
components of another matrix.
(Overrides Matrix<T>.ElementwiseMultiplyInPlace(Matrix<T>)) |
Elementwise |
Raises the elements of a matrix in-place to a constant power.
(Inherited from Matrix<T>) |
Elementwise |
Raises the elements of a matrix in-place to a constant power.
(Inherited from Matrix<T>) |
Elementwise |
Raises this matrix in-place element-wise by another matrix.
(Inherited from Matrix<T>) |
Elementwise |
Raises this matrix in-place element-wise by another matrix.
(Inherited from Matrix<T>) |
Elementwise |
Raises this matrix in-place element-wise by a vector broadcast along the specified dimension.
(Inherited from Matrix<T>) |
Ensure | Ensures that the matrix has enough storage to hold the specified number of nonzero elements. |
Ensure |
Ensures that the element at the specified index in the vector can be written to.
(Inherited from Matrix<T>) |
Ensure |
Ensures that the element at the specified index in the vector can be written to.
(Inherited from Matrix<T>) |
Ensure |
Ensures that the element at the specified index in the vector can be written to.
(Inherited from Matrix<T>) |
Equals( |
Determines whether the specified Matrix<T>
is equal to the current Matrix<T>.
(Inherited from Matrix<T>) |
Equals( |
Determines whether the specified Object
is equal to the current Matrix<T>.
(Inherited from Matrix<T>) |
Equals( |
Returns whether an object is structurally equal to this instance.
(Inherited from Matrix<T>) |
Estimate |
Calculates an estimate for the condition
number of this matrix.
(Inherited from Matrix<T>) |
Exp |
Computes the exponential of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Extract |
Constructs an upper or lower triangular sparse matrix from a general sparse matrix.
(Overrides SparseMatrix<T>.ExtractTriangle(MatrixTriangle, MatrixDiagonal)) |
Fill |
Replaces all missing values in a matrix with the specified value in-place.
(Inherited from Matrix<T>) |
Fill |
Replaces all missing values in each row or column in-place with the previous or next non-missing value.
(Inherited from Matrix<T>) |
Fill |
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>) |
Fill |
Replaces all missing values in a matrix with the specified value.
(Inherited from Matrix<T>) |
Fill |
Replaces all missing values in each row or column with the corresponding value
from a vector.
(Inherited from Matrix<T>) |
Fill |
Replaces all missing values in each row or column with the previous or next non-missing value.
(Inherited from Matrix<T>) |
Floor |
Computes the largest integer less than or equal to the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Frobenius |
Returns the Frobenius norm of this matrix.
(Inherited from Matrix<T>) |
From | Constructs a sparse matrix from a matrix. |
Get<R, C> |
Gets the value with the specified key.
(Inherited from Matrix<T>) |
Get |
Returns the Cholesky decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Returns the Cholesky decomposition of the matrix.
(Overrides Matrix<T>.GetCholeskyDecomposition(Boolean)) |
Get |
Returns a column vector for this instance
that points at the specified column.
(Inherited from Matrix<T>) |
Get |
Returns a column vector for this instance
that points at the specified column.
(Inherited from Matrix<T>) |
Get |
Returns a column vector for this instance
starting at the specified column and row and of the
specified length.
(Inherited from Matrix<T>) |
Get |
Returns a column vector for this instance
starting at the specified column and row and of the
specified length.
(Inherited from Matrix<T>) |
Get |
Returns a column vector for this instance
starting at the specified column and row and of the
specified length.
(Inherited from Matrix<T>) |
Get |
Returns a column vector for this instance
starting at the specified column and row and of the
specified length.
(Inherited from Matrix<T>) |
Get |
Gets the column with the specified column key.
(Inherited from Matrix<T>) |
Get |
Returns an enumerator that allows you to
iterate over the columns of this instance.
(Inherited from Matrix<T>) |
Get | Returns a permutation corresponding to a column ordering that minimizes fill-in during the LU decomposition of the matrix. |
Get |
Returns a new matrix that contains only the columns
in the specified sequence.
(Inherited from Matrix<T>) |
Get |
Returns a matrix that contains only the specified columns
of the current matrix.
(Inherited from Matrix<T>) |
Get |
Returns a new matrix that contains only the columns
in the specified sequence.
(Inherited from Matrix<T>) |
Get |
Returns the sums of the components of each column of the matrix.
(Overrides SparseMatrix<T>.GetColumnSums()) |
Get |
Calculates the condition
number of this matrix.
(Inherited from Matrix<T>) |
Get |
Calculates the determinant of this matrix.
(Inherited from SparseMatrix<T>) |
Get |
Gets a vector view of the diagonal elements
of this instance.
(Inherited from Matrix<T>) |
Get |
Gets a vector view of the specified diagonal
of this instance.
(Inherited from Matrix<T>) |
Get |
Gets a vector view of the specified diagonal
of this instance.
(Inherited from Matrix<T>) |
Get |
Returns the eigenvalue decomposition for this matrix.
(Inherited from Matrix<T>) |
Get |
Returns the eigenvalue decomposition for this matrix.
(Inherited from Matrix<T>) |
Get |
Returns the generalized eigenvalue decomposition for this matrix.
(Inherited from Matrix<T>) |
Get |
Returns the generalized eigenvalue decomposition for this matrix.
(Inherited from Matrix<T>) |
Get |
Computes the matrix exponential of a square matrix.
(Inherited from Matrix<T>) |
Get |
Returns the hash code for this instance.
(Inherited from Matrix<T>) |
Get |
Returns a hash code for this instance.
(Inherited from Matrix<T>) |
Get |
Returns the Hermitian indefinite (Bunch-Kaufman) decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Returns the Hermitian indefinite (Bunch-Kaufman) decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Calculates the inverse matrix..
(Inherited from LinearOperator<T>) |
Get |
Calculates the inverse of this matrix.
(Inherited from Matrix<T>) |
Get |
Returns the LQ decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Returns the LQ decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Returns the LU decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Returns the LU decomposition of the matrix.
(Overrides Matrix<T>.GetLUDecomposition(Boolean)) |
Get |
Gets the column nearest to the specified column key.
(Inherited from Matrix<T>) |
Get |
Returns a new matrix that contains only the columns
in the specified sequence.
(Inherited from Matrix<T>) |
Get |
Gets the row nearest to the specified row key.
(Inherited from Matrix<T>) |
Get |
Returns a new matrix that contains only the rows
in the specified sequence.
(Inherited from Matrix<T>) |
Get |
Returns the nonzero components
(Overrides SparseMatrix<T>.GetNonzeroElements(Int32[], Int32[])) |
Get |
Populates a SerializationInfo with the values
needed to serialize the target object.
(Overrides Matrix<T>.GetObjectData(SerializationInfo, StreamingContext)) |
Get |
Returns a partitioner that allows you to iterate over the rows of
this instance in parallel.
(Inherited from Matrix<T>) |
Get |
Returns a partitioner that allows you to iterate over the rows of
this instance in parallel.
(Inherited from Matrix<T>) |
Get |
Calculates the Moore-Penrose pseudo-inverse of this matrix.
(Inherited from Matrix<T>) |
Get |
Returns the QL decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Returns the QL decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Returns the QR decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Returns the QR decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Returns a row vector for this instance
that points at the specified row.
(Inherited from Matrix<T>) |
Get |
Returns a row vector for this instance
that points at the specified row.
(Inherited from Matrix<T>) |
Get |
Returns a row vector for this instance
starting at the specified row and column and of the
specified length.
(Inherited from Matrix<T>) |
Get |
Returns a row vector for this instance
over the specified range.
(Inherited from Matrix<T>) |
Get |
Returns a row vector for this instance
over the specified range.
(Inherited from Matrix<T>) |
Get |
Returns a row vector for this instance
starting at the specified row and column and of the
specified length.
(Inherited from Matrix<T>) |
Get |
Returns a row vector for this instance
starting at the specified row and column and of the
specified length.
(Inherited from Matrix<T>) |
Get |
Gets the row with the specified row key.
(Inherited from Matrix<T>) |
Get |
Returns an enumerator that allows you to
iterate over the rows of this instance.
(Inherited from Matrix<T>) |
Get |
Returns a matrix containing only the rows in the specified subset.
(Inherited from Matrix<T>) |
Get |
Returns a matrix that contains only the specified rows
of the current matrix.
(Inherited from Matrix<T>) |
Get |
Returns a new matrix that contains only the rows
in the specified sequence.
(Inherited from Matrix<T>) |
Get |
Returns the sums of the components of each row of the matrix.
(Overrides SparseMatrix<T>.GetRowSums()) |
Get |
Returns the RQ decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Returns the RQ decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Returns the singular value decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Returns the generalized singular value decomposition of the matrix
and another matrix.
(Inherited from Matrix<T>) |
Get |
Returns the singular value decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Returns the generalized singular value decomposition of the matrix
and another matrix.
(Inherited from Matrix<T>) |
Get |
Returns the singular value decomposition of the matrix.
(Inherited from SparseMatrix<T>) |
Get |
Returns the generalized singular value decomposition of the matrix
and another matrix.
(Inherited from Matrix<T>) |
Get |
Returns the singular value decomposition of the matrix.
(Inherited from SparseMatrix<T>) |
Get |
Gets a vector containing the singular values of the matrix.
(Inherited from Matrix<T>) |
Get | |
Get |
Returns a sub-matrix of
this instance.
(Inherited from Matrix<T>) |
Get |
Returns a sub-matrix of this instance.
(Inherited from Matrix<T>) |
Get |
Returns a sub-matrix of
this instance.
(Inherited from Matrix<T>) |
Get |
Returns a sub-matrix of
this instance.
(Inherited from Matrix<T>) |
Get |
Returns the symmetric indefinite (Bunch-Kaufman) decomposition of the matrix.
(Inherited from Matrix<T>) |
Get |
Returns the symmetric indefinite (Bunch-Kaufman) decomposition of the matrix.
(Inherited from Matrix<T>) |
Get | Gets the Type of the current instance. (Inherited from Object) |
Get |
Gets the matrix component at the specified position.
(Inherited from SparseMatrix<T>) |
Get |
Gets the value at the specified row and column keys.
(Inherited from Matrix<T>) Preliminary |
Get |
Infrastructure.
(Inherited from Matrix<T>) Preliminary |
Infinity |
Returns the infinity norm of this matrix.
(Inherited from Matrix<T>) |
Insert |
Inserts a two-dimensional set of values at the specified positions in the sparse matrix.
(Inherited from SparseMatrix<T>) |
Insert |
Inserts a set of values at the specified column in the sparse matrix.
(Inherited from SparseMatrix<T>) |
Insert |
Inserts a set of values at the specified positions in the sparse matrix.
(Inherited from SparseMatrix<T>) |
Insert |
Inserts a value at the specified position in the sparse matrix.
(Overrides SparseMatrix<T>.InsertEntry(T, Int32, Int32)) |
Insert |
Inserts a set of values at the specified row in the sparse matrix.
(Inherited from SparseMatrix<T>) |
IsComponent |
Returns a value that indicates whether the value of the element at
the specified row and column can be changed.
(Inherited from Matrix<T>) Obsolete. |
IsElement |
Gets a value indicating whether the value of the component at
the specified column and row can be changed.
(Overrides Matrix<T>.IsElementWritable(Int32, Int32)) |
IsMissing |
Returns whether the value at the specified index is missing.
(Inherited from Matrix<T>) |
IsSingular |
Gets a value indicating whether this matrix is singular.
(Inherited from Matrix<T>) |
Least |
Solves the system of linear equations for the specified
right-hand side matrix in the least squares sense.
(Inherited from LinearOperator<T>) |
Least |
Solves the system of linear equations for the specified
right-hand side vector.
(Inherited from LinearOperator<T>) |
Least |
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>) |
Least |
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>) |
Least |
Solves a system of equations defined by the matrix and multiple right-hand sides in the least squares sense.
(Inherited from Matrix<T>) |
Least |
Solves a system of equations defined by the matrix and the specified right-hand side in the least squares sense.
(Inherited from Matrix<T>) |
Log10In |
Computes the logarithm of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Log |
Computes the logarithm of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Log |
Computes the logarithm of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Map |
Applies a vector function to each column in a matrix
and returns the result as a matrix.
(Inherited from Matrix<T>) |
Map |
Applies a function to each column in a matrix in-place.
(Inherited from Matrix<T>) |
Map |
Applies a vector function to each column in a matrix
and returns the result as a matrix.
(Inherited from Matrix<T>) |
Map |
Applies a function in-place to the elements of a matrix.
(Inherited from Matrix<T>) |
Map |
Applies a function in-place to the elements of a matrix as the second argument.
(Inherited from Matrix<T>) |
Map |
Applies a function to the elements of a matrix.
(Inherited from Matrix<T>) |
Map |
Applies a function to the elements of a matrix.
(Inherited from Matrix<T>) |
Map |
Applies a vector function to each row in a matrix
and returns the result as a matrix.
(Inherited from Matrix<T>) |
Map |
Applies a function to each column in a matrix and returns the result as a vector.
(Inherited from Matrix<T>) |
Map |
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( | Applies the linear operator to a matrix. (Inherited from LinearOperator<T>) |
Multiply( | Applies the linear operator to a vector. (Inherited from LinearOperator<T>) |
Multiply( |
Multiplies a matrix on the left by this matrix.
(Inherited from LinearOperator<T>) Obsolete. |
Multiply( |
Multiplies a vector on the left by this vector.
(Inherited from LinearOperator<T>) Obsolete. |
Multiply( |
Multiplies this matrix by another matrix and returns
the result.
(Inherited from Matrix<T>) Obsolete. |
Multiply |
Multiplies the component at the specified location by a value.
(Overrides SparseMatrix<T>.MultiplyAt(Int32, Int32, T)) |
Multiply |
Multiplies this matrix by a scalar factor.
(Overrides Matrix<T>.MultiplyInPlace(T)) |
Multiply | Applies the transpose of the linear operator to a matrix. (Inherited from LinearOperator<T>) |
Multiply | Applies the (conjugate) transpose of the linear operator to a vector. (Inherited from LinearOperator<T>) |
Negate |
Negates a matrix in-place.
(Inherited from Matrix<T>) |
One |
Returns the 1-norm of this matrix.
(Inherited from Matrix<T>) |
Permute |
Permutes the columns of the matrix using the specified Permutation.
(Overrides Matrix<T>.PermuteColumnsInPlace(Permutation)) |
Permute |
Permutes the rows and columns of the matrix using the specified Permutation.
(Inherited from Matrix<T>) |
Permute |
Permutes the rows and columns of the matrix using the specified row and column Permutation.
(Inherited from Matrix<T>) |
Permute |
Permutes the rows of the matrix using the specified Permutation.
(Overrides Matrix<T>.PermuteRowsInPlace(Permutation)) |
Protect |
Returns a read-only copy of the matrix.
(Inherited from Matrix<T>) |
Protect |
Protects the matrix from changes.
(Inherited from Matrix<T>) |
Rank() |
Returns the numerical rank of a matrix.
(Inherited from LinearOperator<T>) |
Rank( |
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>) |
Reduce |
Applies a function to each column in a matrix and returns the result as a vector.
(Inherited from Matrix<T>) |
Reduce |
Applies a function to each column in a matrix and returns the result as a vector.
(Inherited from Matrix<T>) |
Reduce |
Applies a function to each row in a matrix and returns the result as a vector.
(Inherited from Matrix<T>) |
Reduce |
Applies a function to each row in a matrix and returns the result as a vector.
(Inherited from Matrix<T>) |
Remove |
Returns a new matrix that has the rows or columns that contain missing values removed.
(Inherited from Matrix<T>) |
Reserve | Reserves storage for the specified number of nonzero elements. |
Reshape |
Returns a matrix that contains the same elements
listed columnwise.
(Inherited from Matrix<T>) |
Reshape |
Returns a vector that contains the columnwise matrix elements.
(Inherited from Matrix<T>) |
Scale |
Scales the columns of the matrix by the values specified by a vector.
(Inherited from Matrix<T>) Obsolete. |
Scale |
Scales the columns of the matrix by the values specified by a vector.
(Inherited from Matrix<T>) |
Scale |
Scales the rows of the matrix by the values specified by a vector.
(Inherited from Matrix<T>) Obsolete. |
Scale |
Scales the rows of the matrix by the values specified by a vector.
(Inherited from Matrix<T>) |
Set |
Sets all elements of the matrix to zero.
(Inherited from Matrix<T>) |
Set |
Sets all elements of the matrix to the specified value.
(Inherited from Matrix<T>) |
Set |
Sets the matrix component at the specified position to the specified value.
(Inherited from SparseMatrix<T>) |
Set |
Sets the value at the specified row and column key value.
(Inherited from Matrix<T>) Preliminary |
Shallow |
Makes a shallow copy of this matrix.
(Inherited from Matrix<T>) |
Sinh |
Computes the hyperbolic sine of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Sin |
Computes the sine of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Solve( |
Solves the system of linear equations for the specified
right-hand side matrix.
(Inherited from LinearOperator<T>) |
Solve( |
Solves the system of linear equations for the specified
right-hand side vector.
(Inherited from LinearOperator<T>) |
Solve( |
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( |
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>) |
Solve |
Solves a system of equations defined by the matrix and multiple right-hand sides.
(Inherited from LinearOperator<T>) |
Solve |
Solves a system of equations defined by the matrix and the specified right-hand side.
(Inherited from LinearOperator<T>) |
Solve |
Solves a system of equations defined by the matrix and multiple right-hand sides.
(Overrides Matrix<T>.SolveInto(TransposeOperation, Matrix<T>, Matrix<T>)) |
Solve |
Solves a system of equations defined by the matrix and the specified right-hand side.
(Overrides Matrix<T>.SolveInto(TransposeOperation, Vector<T>, Vector<T>)) |
Solve |
Solves the transposed system of linear equations for the specified
right-hand side matrix.
(Inherited from LinearOperator<T>) |
Solve |
Solves the system of linear equations for the specified
right-hand side vector.
(Inherited from LinearOperator<T>) |
Solve |
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>) |
Solve |
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>) |
Solve |
Solves a system of equations defined by the matrix and multiple right-hand sides.
(Inherited from LinearOperator<T>) |
Solve |
Solves a system of equations defined by the matrix and the specified right-hand side.
(Inherited from LinearOperator<T>) |
Sort |
Sorts each column of the matrix in ascending order.
(Inherited from Matrix<T>) |
Sort |
Sorts each column of the matrix in the specified order.
(Inherited from Matrix<T>) |
Sort |
Sorts each row of the matrix in ascending order.
(Inherited from Matrix<T>) |
Sort |
Sorts each row of the matrix in the specified order.
(Inherited from Matrix<T>) |
Sqrt |
Computes the square root of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Subtract |
Subtracts a value from the component at the specified location.
(Overrides SparseMatrix<T>.SubtractAt(Int32, Int32, T)) |
Subtract |
Subtracts a scalar value from the elements of this matrix in-place.
(Inherited from Matrix<T>) |
Subtract |
Subtracts another matrix from this matrix in-place.
(Inherited from Matrix<T>) |
Subtract |
Subtracts a vector broadcast along the specified dimension from this matrix in-place.
(Inherited from Matrix<T>) |
Sum |
Returns the sum of the elements of the matrix.
(Overrides Matrix<T>.Sum()) |
Summarize() |
Returns a summary of the contents of the matrix using the default summary options.
(Inherited from Matrix<T>) |
Summarize( |
Returns a summary of the contents of the matrix using the specified options.
(Inherited from Matrix<T>) |
Swap |
Swaps the columns with the specified indices.
(Overrides Matrix<T>.SwapColumns(Int32, Int32)) |
Swap |
Interchanges the specified rows of the matrix.
(Overrides SparseMatrix<T>.SwapRows(Int32, Int32)) |
Tanh |
Computes the hyperbolic tangent of the elements of a matrix in-place.
(Inherited from Matrix<T>) |
Tan |
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( |
Gets the elements of the vector.
(Overrides Matrix<T>.ToArray(MatrixElementOrder)) |
ToData |
Converts a matrix to a data frame with the same row and column indexes.
(Inherited from Matrix<T>) |
ToData |
Converts a matrix to a data frame with the same row and column indexes.
(Inherited from Matrix<T>) |
ToDense |
Makes a copy of this instance and returns it as a
dense matrix.
(Inherited from Matrix<T>) |
ToHermitian |
Returns a new HermitianMatrix<T> extracted from a part of the matrix.
(Inherited from Matrix<T>) |
ToString() | Returns a string that represents the current object. (Inherited from Matrix<T>) |
ToString( |
Returns a String representation of this
Matrix<T>.
(Inherited from Matrix<T>) |
ToString( |
Returns a String representation of this
Matrix<T>.
(Inherited from Matrix<T>) |
ToSymmetric |
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.
(Overrides Matrix<T>.Transpose()) |
Try |
Ensures that the element at the specified index in the vector can be written to.
(Inherited from Matrix<T>) |
Try |
Ensures that the element at the specified index in the vector can be written to.
(Inherited from Matrix<T>) |
Try |
Ensures that the element at the specified index in the vector can be written to.
(Inherited from Matrix<T>) |
Two |
Returns the two-norm of this matrix.
(Inherited from Matrix<T>) |
Unscale |
Unscales the columns of the matrix by the reciprocal of the values specified by a vector.
(Inherited from Matrix<T>) Obsolete. |
Unscale |
Unscales the columns of the matrix by the reciprocal of the values specified by a vector.
(Inherited from Matrix<T>) |
Unscale |
Unscales the rows of the matrix by the reciprocal of the values specified by a vector.
(Inherited from Matrix<T>) Obsolete. |
Unscale |
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) |
Add |
Adds the scaled product of two matrices to another matrix.
(Defined by Matrix) |
Add |
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) |
Column |
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) |
Conjugate |
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) |
Covariance |
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) |
Make |
Returns a distributed version of a matrix.
(Defined by DistributedExtensions) |
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) |
Max |
Returns a matrix whose elements are the maximums of the components of two vectors.
(Defined by Matrix) |
Max |
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) |
Min |
Returns a matrix whose elements are the minimums of the components of two vectors.
(Defined by Matrix) |
Min |
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) |
Reciprocal |
Computes the inverses (reciprocals) of the elements of a matrix.
(Defined by Matrix) |
Row |
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) |