Managed Linear Algebra Operations Of Single.Multiply And Add In Place Method
Definition
Assembly: Numerics.NET.SinglePrecision (in Numerics.NET.SinglePrecision.dll) Version: 9.0.3
Overload List
Multiply | Constant times a vector plus a vector. |
Multiply | Constant times a vector plus a vector. |
Multiply | Constant times a vector plus a vector. |
Multiply | Constant times a vector plus a vector. |
Multiply | Constant times a vector plus a vector. |
Multiply | 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. |
Multiply | Performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*AT*x + beta*y, or y := alpha*AH*x + beta*y, where alpha and beta are scalars, x and y are vectors and A is an m by n matrix. |
Multiply | Performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*AT*x + beta*y, or y := alpha*AH*x + beta*y, where alpha and beta are scalars, x and y are vectors and A is an m by n matrix. |
Multiply | 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. |
Multiply | 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 or op( X ) = XH, 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. |
Multiply | 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 or op( X ) = XH, 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. |
Multiply | Performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*AT*x + beta*y, or y := alpha*AH*x + beta*y, where alpha and beta are scalars, x, incx and y are vectors and A is an m by n matrix. |
Multiply | 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. |
Multiply | 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 or op( X ) = XH, 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. |
Multiply | 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(Int32, Complex<Single>, ReadOnlySpan<Complex<Single>>, Int32, Span<Complex<Single>>, Int32)
Constant times a vector plus a vector.
public override void MultiplyAndAddInPlace(
int n,
Complex<float> a,
ReadOnlySpan<Complex<float>> x,
int incx,
Span<Complex<float>> y,
int incy
)
Parameters
- n Int32
- The number of elements in the vectors x and y.
- a Complex<Single>
- x ReadOnlySpan<Complex<Single>>
- A span containing the elements of the vector x.
- incx Int32
- The distance between elements in x.
- y Span<Complex<Single>>
- A span containing the elements of the vector y. The elements of y are overwritten with the result.
- incy Int32
- The distance between elements in y.
Implements
ILinearAlgebraOperations<T>.MultiplyAndAddInPlace(Int32, T, ReadOnlySpan<T>, Int32, Span<T>, Int32)Remarks
Further Details:
jack dongarra, 3/11/78. modified 12/3/93, array(1) declarations changed to array(*)
Authors: Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver, NAG Ltd.
Date: November 2011
MultiplyAndAddInPlace(Int32, Single, ReadOnlySpan<Single>, Int32, Span<Single>, Int32)
Constant times a vector plus a vector.
public override void MultiplyAndAddInPlace(
int n,
float alpha,
ReadOnlySpan<float> x,
int incx,
Span<float> y,
int incy
)
Parameters
- n Int32
- The number of elements in the vectors x and y.
- alpha Single
- The scalar value used to multiply the elements of x.
- x ReadOnlySpan<Single>
- A span containing the elements of the vector x.
- incx Int32
- The distance between elements in x.
- y Span<Single>
- A span containing the elements of the vector y. The elements of y are overwritten with the result.
- incy Int32
- The distance between elements in y.
Implements
ILinearAlgebraOperations<T>.MultiplyAndAddInPlace(Int32, T, ReadOnlySpan<T>, Int32, Span<T>, Int32)Remarks
uses unrolled loops for increments equal to one.
Further Details:
jack dongarra, linpack, 3/11/78. modified 12/3/93, array(1) declarations changed to array(*)
Authors: Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver, NAG Ltd.
Date: November 2011
MultiplyAndAddInPlace(TransposeOperation, Int32, Int32, Complex<Single>, ReadOnlySpan<Complex<Single>>, Int32, ReadOnlySpan<Complex<Single>>, Int32, Complex<Single>, Span<Complex<Single>>, Int32)
Performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*AT*x + beta*y, or y := alpha*AH*x + beta*y, where alpha and beta are scalars, x, incx and y are vectors and A is an m by n matrix.
public override void MultiplyAndAddInPlace(
TransposeOperation transA,
int m,
int n,
Complex<float> alpha,
ReadOnlySpan<Complex<float>> a,
int lda,
ReadOnlySpan<Complex<float>> x,
int incx,
Complex<float> beta,
Span<Complex<float>> y,
int incy
)
Parameters
- transA TransposeOperation
- m Int32
On entry, M specifies the number of rows of the matrix A. M must be at least zero.
- n Int32
On entry, N specifies the number of columns of the matrix A. N must be at least zero.
- alpha Complex<Single>
On entry, ALPHA specifies the scalar alpha.
- a ReadOnlySpan<Complex<Single>>
A is complex array of DIMENSION ( LDA, n ). Before entry, the leading m by n part of the array A must contain the matrix of coefficients.
- 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, m ).
- x ReadOnlySpan<Complex<Single>>
X is complex array of DIMENSION at least ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n' and at least ( 1 + ( m - 1 )*abs( INCX ) ) otherwise. Before entry, the incremented array X must contain the vector x.
- incx Int32
On entry, INCX specifies the increment for the elements of X. INCX must not be zero.
- beta Complex<Single>
On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input.
- y Span<Complex<Single>>
Y is complex array of DIMENSION at least ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n' and at least ( 1 + ( n - 1 )*abs( INCY ) ) otherwise. Before entry with BETA non-zero, the incremented array Y must contain the 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>.MultiplyAndAddInPlace(TransposeOperation, Int32, 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
MultiplyAndAddInPlace(TransposeOperation, Int32, Int32, Single, ReadOnlySpan<Single>, Int32, ReadOnlySpan<Single>, Int32, Single, Span<Single>, Int32)
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.
public override void MultiplyAndAddInPlace(
TransposeOperation transA,
int m,
int n,
float alpha,
ReadOnlySpan<float> a,
int lda,
ReadOnlySpan<float> x,
int incx,
float beta,
Span<float> y,
int incy
)
Parameters
- transA TransposeOperation
- m Int32
On entry, M specifies the number of rows of the matrix A. M must be at least zero.
- n Int32
On entry, N specifies the number of columns of the matrix A. N must be at least zero.
- alpha Single
ALPHA is DOUBLE PRECISION. On entry, ALPHA specifies the scalar alpha.
- a ReadOnlySpan<Single>
A is DOUBLE PRECISION array of DIMENSION ( LDA, n ). Before entry, the leading m by n part of the array A must contain the matrix of coefficients.
- 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, m ).
- x ReadOnlySpan<Single>
X is DOUBLE PRECISION array of DIMENSION at least ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n' and at least ( 1 + ( m - 1 )*abs( INCX ) ) otherwise. Before entry, the incremented array X must contain the vector x.
- incx Int32
On entry, INCX specifies the increment for the elements of X. INCX must not be zero.
- beta Single
BETA is DOUBLE PRECISION. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input.
- y Span<Single>
Y is DOUBLE PRECISION array of DIMENSION at least ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n' and at least ( 1 + ( n - 1 )*abs( INCY ) ) otherwise. Before entry with BETA non-zero, the incremented array Y must contain the 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>.MultiplyAndAddInPlace(TransposeOperation, Int32, 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
MultiplyAndAddInPlace(TransposeOperation, TransposeOperation, Int32, Int32, Int32, Complex<Single>, ReadOnlySpan<Complex<Single>>, Int32, ReadOnlySpan<Complex<Single>>, Int32, Complex<Single>, Span<Complex<Single>>, Int32)
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 or op( X ) = XH, 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.
public override void MultiplyAndAddInPlace(
TransposeOperation transA,
TransposeOperation transB,
int m,
int n,
int k,
Complex<float> alpha,
ReadOnlySpan<Complex<float>> a,
int lda,
ReadOnlySpan<Complex<float>> b,
int ldb,
Complex<float> beta,
Span<Complex<float>> c,
int ldc
)
Parameters
- transA TransposeOperation
- Specifies the operation to be performed on the matrix a.
- transB TransposeOperation
- Specifies the operation to be performed on the matrix b.
- m Int32
On entry, M specifies the number of rows of the matrix op( A ) and of the matrix C. M must be at least zero.
- n Int32
On entry, N specifies the number of columns of the matrix op( B ) and the number of columns of the matrix C. N must be at least zero.
- k Int32
On entry, K specifies the number of columns of the matrix op( A ) and the number of rows of the matrix op( B ). K must be at least zero.
- alpha Complex<Single>
On entry, ALPHA specifies the scalar alpha.
- a ReadOnlySpan<Complex<Single>>
A is complex array of DIMENSION ( LDA, ka ), where ka is k when TRANSA = 'N' or 'n', and is m otherwise. Before entry with TRANSA = 'N' or 'n', the leading m by k part of the array A must contain the matrix A, otherwise the leading k by m part of the array A must contain the matrix A.
- lda Int32
On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. When TRANSA = 'N' or 'n' then LDA must be at least max( 1, m ), otherwise LDA must be at least max( 1, k ).
- b ReadOnlySpan<Complex<Single>>
B is complex array of DIMENSION ( LDB, kb ), where kb is n when TRANSB = 'N' or 'n', and is k otherwise. Before entry with TRANSB = 'N' or 'n', the leading k by n part of the array B must contain the matrix B, otherwise the leading n by k 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. When TRANSB = 'N' or 'n' then LDB must be at least max( 1, k ), otherwise LDB must be at least max( 1, n ).
- beta Complex<Single>
On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.
- c Span<Complex<Single>>
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 matrix ( alpha*op( A )*op( B ) + beta*C ).
- 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>.MultiplyAndAddInPlace(TransposeOperation, TransposeOperation, Int32, 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
MultiplyAndAddInPlace(TransposeOperation, TransposeOperation, Int32, Int32, Int32, Single, ReadOnlySpan<Single>, Int32, ReadOnlySpan<Single>, Int32, Single, Span<Single>, Int32)
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.
public override void MultiplyAndAddInPlace(
TransposeOperation transA,
TransposeOperation transB,
int m,
int n,
int k,
float alpha,
ReadOnlySpan<float> a,
int lda,
ReadOnlySpan<float> b,
int ldb,
float beta,
Span<float> c,
int ldc
)
Parameters
- transA TransposeOperation
- Specifies the operation to be performed on the matrix a.
- transB TransposeOperation
- Specifies the operation to be performed on the matrix b.
- m Int32
On entry, M specifies the number of rows of the matrix op( A ) and of the matrix C. M must be at least zero.
- n Int32
On entry, N specifies the number of columns of the matrix op( B ) and the number of columns of the matrix C. N must be at least zero.
- k Int32
On entry, K specifies the number of columns of the matrix op( A ) and the number of rows of the matrix op( B ). K must be at least zero.
- alpha Single
ALPHA is DOUBLE PRECISION. On entry, ALPHA specifies the scalar alpha.
- a ReadOnlySpan<Single>
A is DOUBLE PRECISION array of DIMENSION ( LDA, ka ), where ka is k when TRANSA = 'N' or 'n', and is m otherwise. Before entry with TRANSA = 'N' or 'n', the leading m by k part of the array A must contain the matrix A, otherwise the leading k by m part of the array A must contain the matrix A.
- lda Int32
On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. When TRANSA = 'N' or 'n' then LDA must be at least max( 1, m ), otherwise LDA must be at least max( 1, k ).
- b ReadOnlySpan<Single>
B is DOUBLE PRECISION array of DIMENSION ( LDB, kb ), where kb is n when TRANSB = 'N' or 'n', and is k otherwise. Before entry with TRANSB = 'N' or 'n', the leading k by n part of the array B must contain the matrix B, otherwise the leading n by k 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. When TRANSB = 'N' or 'n' then LDB must be at least max( 1, k ), otherwise LDB must be at least max( 1, n ).
- beta Single
BETA is DOUBLE PRECISION. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.
- c Span<Single>
C is DOUBLE PRECISION 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 matrix ( alpha*op( A )*op( B ) + beta*C ).
- 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>.MultiplyAndAddInPlace(TransposeOperation, TransposeOperation, Int32, 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