Linear
Definition
Namespace: Numerics.NET.LinearAlgebra.Implementation
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.0
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.0
Overload List
HermitianMultiplyAndAddInPlace(MatrixTriangle, Int32, T, Array2D<T>, ArraySlice<T>, T, ArraySlice<T>)
Product of a hermitian matrix and a vector.
public void HermitianMultiplyAndAddInPlace(
MatrixTriangle storedTriangle,
int n,
T alpha,
Array2D<T> a,
ArraySlice<T> x,
T beta,
ArraySlice<T> y
)Parameters
- storedTriangle MatrixTriangle
- Specifies whether the matrix is an upper or lower triangular matrix.
- n Int32
- The number of rows and columns in the matrix a.
- alpha T
- The scalar used to multiply the matrix-vector product.
- a Array2D<T>
- A span that contains the elements of the matrix.
- x ArraySlice<T>
- A reference to a one-dimensional array containing the elements of the vector x.
- beta T
- The scalar used to multiply y.
- y ArraySlice<T>
- A reference to a one-dimensional array containing the elements of the vector y. The elements of y are overwritten with the result.
HermitianMultiplyAndAddInPlace(MatrixTriangle, Int32, Complex<T>, Array2D<Complex<T>>, ArraySlice<Complex<T>>, Complex<T>, ArraySlice<Complex<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 hermitian matrix.
public void HermitianMultiplyAndAddInPlace(
MatrixTriangle uplo,
int n,
Complex<T> alpha,
Array2D<Complex<T>> a,
ArraySlice<Complex<T>> x,
Complex<T> beta,
ArraySlice<Complex<T>> y
)Parameters
- uplo MatrixTriangle
On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows: UPLO = 'U' or 'u' Only the upper triangular part of A is to be referenced. UPLO = 'L' or 'l' Only the lower triangular part of A is to be referenced.- n Int32
On entry, N specifies the order of the matrix A. N must be at least zero.- alpha Complex<T>
On entry, ALPHA specifies the scalar alpha.- a Array2D<Complex<T>>
A is complex array of DIMENSION ( LDA, n ). Before entry with UPLO = 'U' or 'u', the leading n by n upper triangular part of the array A must contain the upper triangular part of the hermitian matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = 'L' or 'l', the leading n by n lower triangular part of the array A must contain the lower triangular part of the hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero.On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, n ).- x ArraySlice<Complex<T>>
X is complex array of dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x.On entry, INCX specifies the increment for the elements of X. INCX must not be zero.- beta Complex<T>
On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input.- y ArraySlice<Complex<T>>
Y is complex array of dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. On exit, Y is overwritten by the updated vector y.On entry, INCY specifies the increment for the elements of Y. INCY must not be zero.
Remarks
Further Details:
Level 2 LinearAlgebra routine.
The vector and matrix arguments are not referenced when N = 0, or M = 0
-- Written on 22-October-1986.
Jack Dongarra, Argonne National Lab.
Jeremy Du Croz, Nag Central Office.
Sven Hammarling, Nag Central Office.
Richard Hanson, Sandia National Labs.
Authors: Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver, NAG Ltd.
Date: November 2011
HermitianMultiplyAndAddInPlace(MatrixTriangle, Int32, Complex<T>, ReadOnlySpan2D<Complex<T>>, ReadOnlySpanSlice<Complex<T>>, Complex<T>, SpanSlice<Complex<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 hermitian matrix.
public void HermitianMultiplyAndAddInPlace(
MatrixTriangle uplo,
int n,
Complex<T> alpha,
ReadOnlySpan2D<Complex<T>> a,
ReadOnlySpanSlice<Complex<T>> x,
Complex<T> beta,
SpanSlice<Complex<T>> y
)Parameters
- uplo MatrixTriangle
On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows: UPLO = 'U' or 'u' Only the upper triangular part of A is to be referenced. UPLO = 'L' or 'l' Only the lower triangular part of A is to be referenced.- n Int32
On entry, N specifies the order of the matrix A. N must be at least zero.- alpha Complex<T>
On entry, ALPHA specifies the scalar alpha.- a ReadOnlySpan2D<Complex<T>>
A is complex array of DIMENSION ( LDA, n ). Before entry with UPLO = 'U' or 'u', the leading n by n upper triangular part of the array A must contain the upper triangular part of the hermitian matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = 'L' or 'l', the leading n by n lower triangular part of the array A must contain the lower triangular part of the hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero.On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, n ).- x ReadOnlySpanSlice<Complex<T>>
X is complex array of dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x.On entry, INCX specifies the increment for the elements of X. INCX must not be zero.- beta Complex<T>
On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input.- y SpanSlice<Complex<T>>
Y is complex array of dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. On exit, Y is overwritten by the updated vector y.On entry, INCY specifies the increment for the elements of Y. INCY must not be zero.
Remarks
Further Details:
Level 2 LinearAlgebra routine.
The vector and matrix arguments are not referenced when N = 0, or M = 0
-- Written on 22-October-1986.
Jack Dongarra, Argonne National Lab.
Jeremy Du Croz, Nag Central Office.
Sven Hammarling, Nag Central Office.
Richard Hanson, Sandia National Labs.
Authors: Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver, NAG Ltd.
Date: November 2011
HermitianMultiplyAndAddInPlace(MatrixOperationSide, MatrixTriangle, Int32, Int32, T, Array2D<T>, Array2D<T>, T, Array2D<T>)
Sum of the product of a hermitian and a general matrix and a scaled matrix.
public void HermitianMultiplyAndAddInPlace(
MatrixOperationSide side,
MatrixTriangle storedTriangle,
int m,
int n,
T alpha,
Array2D<T> a,
Array2D<T> b,
T beta,
Array2D<T> c
)Parameters
- side MatrixOperationSide
- Specifies on which side the hermitian matrix a is to be multiplied.
- storedTriangle MatrixTriangle
- Specifies whether the elements of the matrix a are stored in the upper or lower triangular part.
- m Int32
- The number of rows in the matrix a and the matrix c.
- n Int32
- The number of columns in the matrix b and the matrix c.
- alpha T
- The scalar used to multiply the matrix-vector product.
- a Array2D<T>
- A span that contains the elements of the first matrix.
- b Array2D<T>
- A span that contains the elements of the second matrix.
- beta T
- The scalar used to multiply c.
- c Array2D<T>
- A span that contains the elements of the third matrix.
HermitianMultiplyAndAddInPlace(MatrixOperationSide, MatrixTriangle, Int32, Int32, Complex<T>, Array2D<Complex<T>>, Array2D<Complex<T>>, Complex<T>, Array2D<Complex<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 an hermitian matrix and B and C are m by n matrices.
public void HermitianMultiplyAndAddInPlace(
MatrixOperationSide side,
MatrixTriangle uplo,
int m,
int n,
Complex<T> alpha,
Array2D<Complex<T>> a,
Array2D<Complex<T>> b,
Complex<T> beta,
Array2D<Complex<T>> c
)Parameters
- side MatrixOperationSide
On entry, SIDE specifies whether the hermitian matrix A appears on the left or right in the operation as follows: SIDE = 'L' or 'l' C := alpha*A*B + beta*C, SIDE = 'R' or 'r' C := alpha*B*A + beta*C,- uplo MatrixTriangle
On entry, UPLO specifies whether the upper or lower triangular part of the hermitian matrix A is to be referenced as follows: UPLO = 'U' or 'u' Only the upper triangular part of the hermitian matrix is to be referenced. UPLO = 'L' or 'l' Only the lower triangular part of the hermitian matrix is to be referenced.- m Int32
On entry, M specifies the number of rows of the matrix C. M must be at least zero.- n Int32
On entry, N specifies the number of columns of the matrix C. N must be at least zero.- alpha Complex<T>
On entry, ALPHA specifies the scalar alpha.- a Array2D<Complex<T>>
A is complex array of DIMENSION ( LDA, ka ), where ka is m when SIDE = 'L' or 'l' and is n otherwise. Before entry with SIDE = 'L' or 'l', the m by m part of the array A must contain the hermitian matrix, such that when UPLO = 'U' or 'u', the leading m by m upper triangular part of the array A must contain the upper triangular part of the hermitian matrix and the strictly lower triangular part of A is not referenced, and when UPLO = 'L' or 'l', the leading m by m lower triangular part of the array A must contain the lower triangular part of the hermitian matrix and the strictly upper triangular part of A is not referenced. Before entry with SIDE = 'R' or 'r', the n by n part of the array A must contain the hermitian matrix, such that when UPLO = 'U' or 'u', the leading n by n upper triangular part of the array A must contain the upper triangular part of the hermitian matrix and the strictly lower triangular part of A is not referenced, and when UPLO = 'L' or 'l', the leading n by n lower triangular part of the array A must contain the lower triangular part of the hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set, they are assumed to be zero.On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. When SIDE = 'L' or 'l' then LDA must be at least max( 1, m ), otherwise LDA must be at least max( 1, n ).- b Array2D<Complex<T>>
B is complex array of DIMENSION ( LDB, n ). Before entry, the leading m by n part of the array B must contain the matrix B.On entry, LDB specifies the first dimension of B as declared in the calling (sub) program. LDB must be at least max( 1, m ).- beta Complex<T>
On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.- c Array2D<Complex<T>>
C is complex array of DIMENSION ( LDC, n ). Before entry, the leading m by n part of the array C must contain the matrix C, except when beta is zero, in which case C need not be set on entry. On exit, the array C is overwritten by the m by n updated matrix.On entry, LDC specifies the first dimension of C as declared in the calling (sub) program. LDC must be at least max( 1, m ).
Remarks
Further Details:
Level 3 LinearAlgebra routine.
-- Written on 8-February-1989.
Jack Dongarra, Argonne National Laboratory.
Iain Duff, AERE Harwell.
Jeremy Du Croz, Numerical Algorithms Group Ltd.
Sven Hammarling, Numerical Algorithms Group Ltd.
Authors: Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver, NAG Ltd.
Date: November 2011
HermitianMultiplyAndAddInPlace(MatrixOperationSide, MatrixTriangle, Int32, Int32, Complex<T>, ReadOnlySpan2D<Complex<T>>, ReadOnlySpan2D<Complex<T>>, Complex<T>, Span2D<Complex<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 an hermitian matrix and B and C are m by n matrices.
public void HermitianMultiplyAndAddInPlace(
MatrixOperationSide side,
MatrixTriangle uplo,
int m,
int n,
Complex<T> alpha,
ReadOnlySpan2D<Complex<T>> a,
ReadOnlySpan2D<Complex<T>> b,
Complex<T> beta,
Span2D<Complex<T>> c
)Parameters
- side MatrixOperationSide
On entry, SIDE specifies whether the hermitian matrix A appears on the left or right in the operation as follows: SIDE = 'L' or 'l' C := alpha*A*B + beta*C, SIDE = 'R' or 'r' C := alpha*B*A + beta*C,- uplo MatrixTriangle
On entry, UPLO specifies whether the upper or lower triangular part of the hermitian matrix A is to be referenced as follows: UPLO = 'U' or 'u' Only the upper triangular part of the hermitian matrix is to be referenced. UPLO = 'L' or 'l' Only the lower triangular part of the hermitian matrix is to be referenced.- m Int32
On entry, M specifies the number of rows of the matrix C. M must be at least zero.- n Int32
On entry, N specifies the number of columns of the matrix C. N must be at least zero.- alpha Complex<T>
On entry, ALPHA specifies the scalar alpha.- a ReadOnlySpan2D<Complex<T>>
A is complex array of DIMENSION ( LDA, ka ), where ka is m when SIDE = 'L' or 'l' and is n otherwise. Before entry with SIDE = 'L' or 'l', the m by m part of the array A must contain the hermitian matrix, such that when UPLO = 'U' or 'u', the leading m by m upper triangular part of the array A must contain the upper triangular part of the hermitian matrix and the strictly lower triangular part of A is not referenced, and when UPLO = 'L' or 'l', the leading m by m lower triangular part of the array A must contain the lower triangular part of the hermitian matrix and the strictly upper triangular part of A is not referenced. Before entry with SIDE = 'R' or 'r', the n by n part of the array A must contain the hermitian matrix, such that when UPLO = 'U' or 'u', the leading n by n upper triangular part of the array A must contain the upper triangular part of the hermitian matrix and the strictly lower triangular part of A is not referenced, and when UPLO = 'L' or 'l', the leading n by n lower triangular part of the array A must contain the lower triangular part of the hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set, they are assumed to be zero.On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. When SIDE = 'L' or 'l' then LDA must be at least max( 1, m ), otherwise LDA must be at least max( 1, n ).- b ReadOnlySpan2D<Complex<T>>
B is complex array of DIMENSION ( LDB, n ). Before entry, the leading m by n part of the array B must contain the matrix B.On entry, LDB specifies the first dimension of B as declared in the calling (sub) program. LDB must be at least max( 1, m ).- beta Complex<T>
On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.- c Span2D<Complex<T>>
C is complex array of DIMENSION ( LDC, n ). Before entry, the leading m by n part of the array C must contain the matrix C, except when beta is zero, in which case C need not be set on entry. On exit, the array C is overwritten by the m by n updated matrix.On entry, LDC specifies the first dimension of C as declared in the calling (sub) program. LDC must be at least max( 1, m ).
Remarks
Further Details:
Level 3 LinearAlgebra routine.
-- Written on 8-February-1989.
Jack Dongarra, Argonne National Laboratory.
Iain Duff, AERE Harwell.
Jeremy Du Croz, Numerical Algorithms Group Ltd.
Sven Hammarling, Numerical Algorithms Group Ltd.
Authors: Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver, NAG Ltd.
Date: November 2011
HermitianMultiplyAndAddInPlace(MatrixTriangle, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, T, Span<T>, Int32)
Product of a hermitian matrix and a vector.
public void HermitianMultiplyAndAddInPlace(
MatrixTriangle storedTriangle,
int n,
T alpha,
ReadOnlySpan<T> a,
int lda,
ReadOnlySpan<T> x,
int incx,
T beta,
Span<T> y,
int incy
)Parameters
- storedTriangle MatrixTriangle
- Specifies whether the matrix is an upper or lower triangular matrix.
- n Int32
- The number of rows and columns in the matrix a.
- alpha T
- The scalar used to multiply the matrix-vector product.
- a ReadOnlySpan<T>
- A span that contains the elements of the matrix.
- lda Int32
- The leading dimension of the matrix a.
- x ReadOnlySpan<T>
- A reference to a one-dimensional array containing the elements of the vector x.
- incx Int32
- The distance between elements in x.
- beta T
- The scalar used to multiply y.
- y Span<T>
- A reference to a one-dimensional array containing the elements of the vector y. The elements of y are overwritten with the result.
- incy Int32
- The distance between elements in y.
HermitianMultiplyAndAddInPlace(MatrixTriangle, Int32, Complex<T>, ReadOnlySpan<Complex<T>>, Int32, ReadOnlySpan<Complex<T>>, Int32, Complex<T>, Span<Complex<T>>, Int32)
Performs the matrix-vector operation y := alpha*A*x + beta*y, where alpha and beta are scalars, x, incx and y are n element vectors and A is an n by n hermitian matrix.
public abstract void HermitianMultiplyAndAddInPlace(
MatrixTriangle uplo,
int n,
Complex<T> alpha,
ReadOnlySpan<Complex<T>> a,
int lda,
ReadOnlySpan<Complex<T>> x,
int incx,
Complex<T> beta,
Span<Complex<T>> y,
int incy
)Parameters
- uplo MatrixTriangle
On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows: UPLO = 'U' or 'u' Only the upper triangular part of A is to be referenced. UPLO = 'L' or 'l' Only the lower triangular part of A is to be referenced.- n Int32
On entry, N specifies the order of the matrix A. N must be at least zero.- alpha Complex<T>
On entry, ALPHA specifies the scalar alpha.- a ReadOnlySpan<Complex<T>>
A is complex array of DIMENSION ( LDA, n ). Before entry with UPLO = 'U' or 'u', the leading n by n upper triangular part of the array A must contain the upper triangular part of the hermitian matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = 'L' or 'l', the leading n by n lower triangular part of the array A must contain the lower triangular part of the hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero.- lda Int32
On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, n ).- x ReadOnlySpan<Complex<T>>
X is complex array of dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x.- incx Int32
On entry, INCX specifies the increment for the elements of X. INCX must not be zero.- beta Complex<T>
On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input.- y Span<Complex<T>>
Y is complex array of dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. On exit, Y is overwritten by the updated vector y.- incy Int32
On entry, INCY specifies the increment for the elements of Y. INCY must not be zero.
Implements
ILinearAlgebraOperations<T>.HermitianMultiplyAndAddInPlace(MatrixTriangle, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, T, Span<T>, Int32)Remarks
Further Details:
Level 2 LinearAlgebra routine.
The vector and matrix arguments are not referenced when N = 0, or M = 0
-- Written on 22-October-1986.
Jack Dongarra, Argonne National Lab.
Jeremy Du Croz, Nag Central Office.
Sven Hammarling, Nag Central Office.
Richard Hanson, Sandia National Labs.
Authors: Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver, NAG Ltd.
Date: November 2011
HermitianMultiplyAndAddInPlace(MatrixOperationSide, MatrixTriangle, Int32, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, T, Span<T>, Int32)
Sum of the product of a hermitian and a general matrix and a scaled matrix.
public void HermitianMultiplyAndAddInPlace(
MatrixOperationSide side,
MatrixTriangle storedTriangle,
int m,
int n,
T alpha,
ReadOnlySpan<T> a,
int lda,
ReadOnlySpan<T> b,
int ldb,
T beta,
Span<T> c,
int ldc
)Parameters
- side MatrixOperationSide
- Specifies on which side the hermitian matrix a is to be multiplied.
- storedTriangle MatrixTriangle
- Specifies whether the elements of the matrix a are stored in the upper or lower triangular part.
- m Int32
- The number of rows in the matrix a and the matrix c.
- n Int32
- The number of columns in the matrix b and the matrix c.
- alpha T
- The scalar used to multiply the matrix-vector product.
- a ReadOnlySpan<T>
- A span that contains the elements of the first matrix.
- lda Int32
- The leading dimension of the matrix a.
- b ReadOnlySpan<T>
- A span that contains the elements of the second matrix.
- ldb Int32
- The leading dimension of the matrix b.
- beta T
- The scalar used to multiply c.
- c Span<T>
- A span that contains the elements of the third matrix.
- ldc Int32
- The leading dimension of the matrix c.
HermitianMultiplyAndAddInPlace(MatrixOperationSide, MatrixTriangle, Int32, Int32, Complex<T>, ReadOnlySpan<Complex<T>>, Int32, ReadOnlySpan<Complex<T>>, Int32, Complex<T>, Span<Complex<T>>, Int32)
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 an hermitian matrix and B and C are m by n matrices.
public abstract void HermitianMultiplyAndAddInPlace(
MatrixOperationSide side,
MatrixTriangle uplo,
int m,
int n,
Complex<T> alpha,
ReadOnlySpan<Complex<T>> a,
int lda,
ReadOnlySpan<Complex<T>> b,
int ldb,
Complex<T> beta,
Span<Complex<T>> c,
int ldc
)Parameters
- side MatrixOperationSide
On entry, SIDE specifies whether the hermitian matrix A appears on the left or right in the operation as follows: SIDE = 'L' or 'l' C := alpha*A*B + beta*C, SIDE = 'R' or 'r' C := alpha*B*A + beta*C,- uplo MatrixTriangle
On entry, UPLO specifies whether the upper or lower triangular part of the hermitian matrix A is to be referenced as follows: UPLO = 'U' or 'u' Only the upper triangular part of the hermitian matrix is to be referenced. UPLO = 'L' or 'l' Only the lower triangular part of the hermitian matrix is to be referenced.- m Int32
On entry, M specifies the number of rows of the matrix C. M must be at least zero.- n Int32
On entry, N specifies the number of columns of the matrix C. N must be at least zero.- alpha Complex<T>
On entry, ALPHA specifies the scalar alpha.- a ReadOnlySpan<Complex<T>>
A is complex array of DIMENSION ( LDA, ka ), where ka is m when SIDE = 'L' or 'l' and is n otherwise. Before entry with SIDE = 'L' or 'l', the m by m part of the array A must contain the hermitian matrix, such that when UPLO = 'U' or 'u', the leading m by m upper triangular part of the array A must contain the upper triangular part of the hermitian matrix and the strictly lower triangular part of A is not referenced, and when UPLO = 'L' or 'l', the leading m by m lower triangular part of the array A must contain the lower triangular part of the hermitian matrix and the strictly upper triangular part of A is not referenced. Before entry with SIDE = 'R' or 'r', the n by n part of the array A must contain the hermitian matrix, such that when UPLO = 'U' or 'u', the leading n by n upper triangular part of the array A must contain the upper triangular part of the hermitian matrix and the strictly lower triangular part of A is not referenced, and when UPLO = 'L' or 'l', the leading n by n lower triangular part of the array A must contain the lower triangular part of the hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set, they are assumed to be zero.- lda Int32
On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. When SIDE = 'L' or 'l' then LDA must be at least max( 1, m ), otherwise LDA must be at least max( 1, n ).- b ReadOnlySpan<Complex<T>>
B is complex array of DIMENSION ( LDB, n ). Before entry, the leading m by n part of the array B must contain the matrix B.- ldb Int32
On entry, LDB specifies the first dimension of B as declared in the calling (sub) program. LDB must be at least max( 1, m ).- beta Complex<T>
On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.- c Span<Complex<T>>
C is complex array of DIMENSION ( LDC, n ). Before entry, the leading m by n part of the array C must contain the matrix C, except when beta is zero, in which case C need not be set on entry. On exit, the array C is overwritten by the m by n updated matrix.- ldc Int32
On entry, LDC specifies the first dimension of C as declared in the calling (sub) program. LDC must be at least max( 1, m ).
Implements
ILinearAlgebraOperations<T>.HermitianMultiplyAndAddInPlace(MatrixOperationSide, MatrixTriangle, Int32, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, T, Span<T>, Int32)Remarks
Further Details:
Level 3 LinearAlgebra routine.
-- Written on 8-February-1989.
Jack Dongarra, Argonne National Laboratory.
Iain Duff, AERE Harwell.
Jeremy Du Croz, Numerical Algorithms Group Ltd.
Sven Hammarling, Numerical Algorithms Group Ltd.
Authors: Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver, NAG Ltd.
Date: November 2011