AbsoluteMaxIndex<T>(ILinearAlgebraOperations<T>, Int32, ReadOnlySpanSlice<T>) |
Finds the index of element having max. |
AbsoluteMaxIndex<T, TStorage>(ILinearAlgebraOperations<T>, Int32, TStorage) |
Returns the index of the element of a vector with
maximum absolute value.
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BandMultiplyAndAddInPlace<T>(ILinearAlgebraOperations<T>, TransposeOperation, Int32, Int32, Int32, Int32, T, ReadOnlySpan2D<T>, ReadOnlySpanSlice<T>, T, SpanSlice<T>) |
Performs one of the matrix-vector operations
y := alpha*A*x + beta*y, or y := alpha*AT*x + beta*y,
where alpha and beta are scalars, x and y are vectors and A is an
m by n band matrix, with kl sub-diagonals and ku super-diagonals. |
BandMultiplyAndAddInPlace<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, TransposeOperation, Int32, Int32, Int32, Int32, T, TStorage2D, TStorage, T, TStorage) |
Sum of the product of a general band matrix and vector and a scaled vector.
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BandSymmetricMultiplyAndAddInPlace<T>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, Int32, T, ReadOnlySpan2D<T>, ReadOnlySpanSlice<T>, T, SpanSlice<T>) |
Performs the matrix-vector operation
y := alpha*A*x + beta*y,
where alpha and beta are scalars, x and y are n element vectors and
A is an n by n symmetric band matrix, with k super-diagonals. |
BandSymmetricMultiplyAndAddInPlace<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, Int32, T, TStorage2D, TStorage, T, TStorage) |
Product of a symmetric band matrix and a vector.
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BandTriangularMultiplyInPlace<T>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, ReadOnlySpan2D<T>, SpanSlice<T>) |
Performs one of the matrix-vector operations
x := A*x, or x := AT*x,
where x is an n element vector and A is an n by n unit, or non-unit,
upper or lower triangular band matrix, with ( k + 1 ) diagonals. |
BandTriangularMultiplyInPlace<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, TStorage2D, TStorage) |
Product of a triangular band matrix and a vector.
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BandTriangularSolveInPlace<T>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, ReadOnlySpan2D<T>, SpanSlice<T>) |
Solves one of the systems of equations
A*x = b, or AT*x = b,
where b and x are n element vectors and A is an n by n unit, or
non-unit, upper or lower triangular band matrix, with ( k + 1 )
diagonals. |
BandTriangularSolveInPlace<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, TStorage2D, TStorage) |
Solves a triangular band system of equations.
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ConjugateDotProduct<T>(ILinearAlgebraOperations<T>, Int32, ReadOnlySpanSlice<T>, ReadOnlySpanSlice<T>) |
Returns the inner product of two vectors.
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ConjugateDotProduct<T, TStorage>(ILinearAlgebraOperations<T>, Int32, TStorage, TStorage) |
Returns the inner product of two vectors.
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ConjugateRankUpdate<T>(ILinearAlgebraOperations<T>, Int32, Int32, T, ReadOnlySpanSlice<T>, ReadOnlySpanSlice<T>, Span2D<T>) |
Performs a rank one update of a matrix.
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ConjugateRankUpdate<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, Int32, Int32, T, TStorage, TStorage, TStorage2D) |
Performs a rank one update of a matrix.
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Copy<T>(ILinearAlgebraOperations<T>, Int32, ReadOnlySpanSlice<T>, SpanSlice<T>) |
Copies a vector, x, to a vector, y. |
Copy<T>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, Int32, ReadOnlySpan2D<T>, Span2D<T>) |
Copies all or part of a two-dimensional matrix A to another
matrix B. |
Copy<T, TStorage>(ILinearAlgebraOperations<T>, Int32, TStorage, TStorage) |
Copies a vector.
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Copy<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, Int32, TStorage2D, TStorage2D) |
Copies part of a matrix to another.
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DotProduct<T>(ILinearAlgebraOperations<T>, Int32, ReadOnlySpanSlice<T>, ReadOnlySpanSlice<T>) |
Forms the dot product of two vectors. |
DotProduct<T, TStorage>(ILinearAlgebraOperations<T>, Int32, TStorage, TStorage) |
Returns the inner product of two vectors.
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FullMatrixNorm<T>(ILinearAlgebraOperations<T>, MatrixNorm, Int32, Int32, ReadOnlySpan2D<T>) |
Returns the value of the one norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
real matrix A. |
FullMatrixNorm<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixNorm, Int32, Int32, TStorage2D) |
Computes the norm of a general rectangular matrix.
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HermitianMatrixNorm<T>(ILinearAlgebraOperations<T>, MatrixNorm, MatrixTriangle, Int32, ReadOnlySpan2D<T>) |
Computes the norm of a Hermitian matrix.
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HermitianMatrixNorm<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixNorm, MatrixTriangle, Int32, TStorage2D) |
Computes the norm of a Hermitian matrix.
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HermitianMultiplyAndAddInPlace<T>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, ReadOnlySpan2D<T>, ReadOnlySpanSlice<T>, T, SpanSlice<T>) |
Product of a hermitian matrix and a vector.
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HermitianMultiplyAndAddInPlace<T>(ILinearAlgebraOperations<T>, MatrixOperationSide, MatrixTriangle, Int32, Int32, T, ReadOnlySpan2D<T>, ReadOnlySpan2D<T>, T, Span2D<T>) |
Sum of the product of a hermitian and a general matrix and a scaled matrix.
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HermitianMultiplyAndAddInPlace<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixOperationSide, MatrixTriangle, Int32, Int32, T, TStorage2D, TStorage2D, T, TStorage2D) |
Sum of the product of a hermitian and a general matrix and a scaled matrix.
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HermitianMultiplyAndAddInPlace<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, TStorage2D, TStorage, T, TStorage) |
Product of a hermitian matrix and a vector.
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HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, ReadOnlySpanSlice<T>, Span2D<T>) |
Performs a rank one update of a hermitian.
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HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, ReadOnlySpanSlice<T>, ReadOnlySpanSlice<T>, Span2D<T>) |
Performs a hermitian rank two update of a hermitian matrix.
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HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan2D<T>, T, Span2D<T>) |
Performs a rank k update of a hermitian matrix.
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HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan2D<T>, ReadOnlySpan2D<T>, T, Span2D<T>) |
Performs a rank 2k update of a hermitian matrix.
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HermitianRankUpdate<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, TStorage2D, T, TStorage2D) |
Performs a rank k update of a hermitian matrix.
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HermitianRankUpdate<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, TStorage2D, TStorage2D, T, TStorage2D) |
Performs a rank 2k update of a hermitian matrix.
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HermitianRankUpdate<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, TStorage, TStorage2D) |
Performs a rank one update of a hermitian.
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HermitianRankUpdate<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, TStorage, TStorage, TStorage2D) |
Performs a hermitian rank two update of a hermitian matrix.
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MultiplyAndAddInPlace<T>(ILinearAlgebraOperations<T>, Int32, T, ReadOnlySpanSlice<T>, SpanSlice<T>) |
Constant times a vector plus a vector. |
MultiplyAndAddInPlace<T>(ILinearAlgebraOperations<T>, TransposeOperation, Int32, Int32, T, ReadOnlySpan2D<T>, ReadOnlySpanSlice<T>, T, SpanSlice<T>) |
Performs one of the matrix-vector operations
y := alpha*A*x + beta*y, or y := alpha*AT*x + beta*y,
where alpha and beta are scalars, x and y are vectors and A is an
m by n matrix. |
MultiplyAndAddInPlace<T>(ILinearAlgebraOperations<T>, TransposeOperation, TransposeOperation, Int32, Int32, Int32, T, ReadOnlySpan2D<T>, ReadOnlySpan2D<T>, T, Span2D<T>) |
Performs one of the matrix-matrix operations
C := alpha*op( A )*op( B ) + beta*C,
where op( X ) is one of
op( X ) = X or op( X ) = XT,
alpha and beta are scalars, and A, B and C are matrices, with op( A )
an m by k matrix, op( B ) a k by n matrix and C an m by n matrix. |
MultiplyAndAddInPlace<T, TStorage>(ILinearAlgebraOperations<T>, Int32, T, TStorage, TStorage) |
Evaluates a vector plus the product of a scalar and a vector
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MultiplyAndAddInPlace<T, TStorage2D>(ILinearAlgebraOperations<T>, TransposeOperation, TransposeOperation, Int32, Int32, Int32, T, TStorage2D, TStorage2D, T, TStorage2D) |
Sum of the product of two general matrices and a scaled matrix.
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MultiplyAndAddInPlace<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, TransposeOperation, Int32, Int32, T, TStorage2D, TStorage, T, TStorage) |
Sum of the product of a general matrix and vector and a scaled vector.
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MultiplyInPlace<T>(ILinearAlgebraOperations<T>, Int32, T, SpanSlice<T>) |
Scales a vector by a constant. |
MultiplyInPlace<T, TStorage>(ILinearAlgebraOperations<T>, Int32, T, TStorage) |
Evaluates the product of a scalar and a vector.
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OneNorm<T>(ILinearAlgebraOperations<T>, Int32, ReadOnlySpanSlice<T>) |
Takes the sum of the absolute values. |
OneNorm<T, TStorage>(ILinearAlgebraOperations<T>, Int32, TStorage) |
Returns the sum of the absolute values of
the elements of a vector.
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RankUpdate<T>(ILinearAlgebraOperations<T>, Int32, Int32, T, ReadOnlySpanSlice<T>, ReadOnlySpanSlice<T>, Span2D<T>) |
Performs the rank 1 operation
A := alpha*x*y**T + A,
where alpha is a scalar, x is an m element vector, y is an n element
vector and A is an m by n matrix. |
RankUpdate<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, Int32, Int32, T, TStorage, TStorage, TStorage2D) |
Performs a rank one update of a matrix.
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RealOneNorm<T>(ILinearAlgebraOperations<T>, Int32, ReadOnlySpanSlice<T>) |
Returns the sum of the absolute values of
the elements of a vector.
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RealOneNorm<T, TStorage>(ILinearAlgebraOperations<T>, Int32, TStorage) |
Returns the sum of the absolute values of
the elements of a vector.
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Rotate<T>(ILinearAlgebraOperations<T>, Int32, SpanSlice<T>, SpanSlice<T>, T, T) |
Applies a plane rotation. |
Rotate<T, TStorage>(ILinearAlgebraOperations<T>, Int32, TStorage, TStorage, T, T) |
Applies a Givens plane rotation.
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Swap<T>(ILinearAlgebraOperations<T>, Int32, SpanSlice<T>, SpanSlice<T>) |
Swaps the elements of two vectors. |
Swap<T, TStorage>(ILinearAlgebraOperations<T>, Int32, TStorage, TStorage) |
Exchanges the elements of two vectors.
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SymmetricMatrixNorm<T>(ILinearAlgebraOperations<T>, MatrixNorm, MatrixTriangle, Int32, ReadOnlySpan2D<T>) |
Returns the value of the one norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
real symmetric matrix A. |
SymmetricMatrixNorm<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixNorm, MatrixTriangle, Int32, TStorage2D) |
Computes the norm of a symmetric matrix.
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SymmetricMultiplyAndAddInPlace<T>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, ReadOnlySpan2D<T>, ReadOnlySpanSlice<T>, T, SpanSlice<T>) |
Performs the matrix-vector operation
y := alpha*A*x + beta*y,
where alpha and beta are scalars, x and y are n element vectors and
A is an n by n symmetric matrix. |
SymmetricMultiplyAndAddInPlace<T>(ILinearAlgebraOperations<T>, MatrixOperationSide, MatrixTriangle, Int32, Int32, T, ReadOnlySpan2D<T>, ReadOnlySpan2D<T>, T, Span2D<T>) |
Performs one of the matrix-matrix operations
C := alpha*A*B + beta*C,
or
C := alpha*B*A + beta*C,
where alpha and beta are scalars, A is a symmetric matrix and B and
C are m by n matrices. |
SymmetricMultiplyAndAddInPlace<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixOperationSide, MatrixTriangle, Int32, Int32, T, TStorage2D, TStorage2D, T, TStorage2D) |
Sum of the product of a symmetric and a general matrix and a scaled matrix.
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SymmetricMultiplyAndAddInPlace<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, TStorage2D, TStorage, T, TStorage) |
Product of a symmetric matrix and a vector.
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SymmetricRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, ReadOnlySpanSlice<T>, Span2D<T>) |
Performs the symmetric rank 1 operation
A := alpha*x*x**T + A,
where alpha is a real scalar, x is an n element vector and A is an
n by n symmetric matrix. |
SymmetricRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, ReadOnlySpanSlice<T>, ReadOnlySpanSlice<T>, Span2D<T>) |
Performs the symmetric rank 2 operation
A := alpha*x*y**T + alpha*y*x**T + A,
where alpha is a scalar, x and y are n element vectors and A is an n
by n symmetric matrix. |
SymmetricRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan2D<T>, T, Span2D<T>) |
Performs one of the symmetric rank k operations
C := alpha*A*AT + beta*C,
or
C := alpha*AT*A + beta*C,
where alpha and beta are scalars, C is an n by n symmetric matrix
and A is an n by k matrix in the first case and a k by n matrix
in the second case. |
SymmetricRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan2D<T>, ReadOnlySpan2D<T>, T, Span2D<T>) |
Performs one of the symmetric rank 2k operations
C := alpha*A*BT + alpha*B*AT + beta*C,
or
C := alpha*AT*B + alpha*BT*A + beta*C,
where alpha and beta are scalars, C is an n by n symmetric matrix
and A and B are n by k matrices in the first case and k by n
matrices in the second case. |
SymmetricRankUpdate<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, TStorage2D, T, TStorage2D) |
Performs a rank k update of a symmetric matrix.
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SymmetricRankUpdate<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, TStorage2D, TStorage2D, T, TStorage2D) |
Performs a rank k update of a symmetric matrix.
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SymmetricRankUpdate<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, TStorage, TStorage2D) |
Performs a rank one update of a symmetric matrix.
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SymmetricRankUpdate<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, TStorage, TStorage, TStorage2D) |
Performs a symmetric rank two update of a symmetric matrix.
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TriangularMatrixNorm<T>(ILinearAlgebraOperations<T>, MatrixNorm, MatrixTriangle, MatrixDiagonal, Int32, Int32, ReadOnlySpan2D<T>) |
Returns the value of the one norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
trapezoidal or triangular matrix A. |
TriangularMatrixNorm<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixNorm, MatrixTriangle, MatrixDiagonal, Int32, Int32, TStorage2D) |
Computes the norm of a triangular matrix.
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TriangularMultiplyInPlace<T>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, ReadOnlySpan2D<T>, SpanSlice<T>) |
Performs one of the matrix-vector operations
x := A*x, or x := AT*x,
where x is an n element vector and A is an n by n unit, or non-unit,
upper or lower triangular matrix. |
TriangularMultiplyInPlace<T>(ILinearAlgebraOperations<T>, MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, T, ReadOnlySpan2D<T>, Span2D<T>) |
Performs one of the matrix-matrix operations
B := alpha*op( A )*B, or B := alpha*B*op( A ),
where alpha is a scalar, B is an m by n matrix, A is a unit, or
non-unit, upper or lower triangular matrix and op( A ) is one of
op( A ) = A or op( A ) = AT. |
TriangularMultiplyInPlace<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, T, TStorage2D, TStorage2D) |
Product of a triangular and a general matrix.
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TriangularMultiplyInPlace<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, TStorage2D, TStorage) |
Product of a triangular matrix and a vector.
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TriangularSolveInPlace<T>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, ReadOnlySpan2D<T>, SpanSlice<T>) |
Solves one of the systems of equations
A*x = b, or AT*x = b,
where b and x are n element vectors and A is an n by n unit, or
non-unit, upper or lower triangular matrix. |
TriangularSolveInPlace<T>(ILinearAlgebraOperations<T>, MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, T, ReadOnlySpan2D<T>, Span2D<T>) |
Solves one of the matrix equations
op( A )*X = alpha*B, or X*op( A ) = alpha*B,
where alpha is a scalar, X and B are m by n matrices, A is a unit, or
non-unit, upper or lower triangular matrix and op( A ) is one of
op( A ) = A or op( A ) = AT. |
TriangularSolveInPlace<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, T, TStorage2D, TStorage2D) |
Solution of a triangular linear system with
multiple right-hand sides.
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TriangularSolveInPlace<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, TStorage2D, TStorage) |
Solves a triangular system of equations.
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TwoNorm<T>(ILinearAlgebraOperations<T>, Int32, ReadOnlySpanSlice<T>) |
Returns the euclidean norm of a vector via the function
name, so that
DNRM2 := sqrt( x'*x )
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TwoNorm<T, TStorage>(ILinearAlgebraOperations<T>, Int32, TStorage) |
Returns the square root of sum of the squares of
the elements of a vector.
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