ManagedLinearAlgebraOperations.BandMultiplyAndAddInPlace Method

Definition

Namespace: Numerics.NET.LinearAlgebra.Implementation
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.0

Overload List

BandMultiplyAndAddInPlace(TransposeOperation, Int32, Int32, Int32, Int32, T, Array2D<T>, ArraySlice<T>, T, ArraySlice<T>)	Performs one of the matrix-vector operations y := alphaAx + betay, or y := alphaA^Tx + betay, 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(TransposeOperation, Int32, Int32, Int32, Int32, Complex<T>, Array2D<Complex<T>>, ArraySlice<Complex<T>>, Complex<T>, ArraySlice<Complex<T>>)	Performs one of the matrix-vector operations y := alphaAx + betay, or y := alphaA^Tx + betay, or y := alphaA^Hx + 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(TransposeOperation, Int32, Int32, Int32, Int32, Complex<T>, ReadOnlySpan2D<Complex<T>>, ReadOnlySpanSlice<Complex<T>>, Complex<T>, SpanSlice<Complex<T>>)	Performs one of the matrix-vector operations y := alphaAx + betay, or y := alphaA^Tx + betay, or y := alphaA^Hx + 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(TransposeOperation, Int32, Int32, Int32, Int32, Complex<Double>, ReadOnlySpan<Complex<Double>>, Int32, ReadOnlySpan<Complex<Double>>, Int32, Complex<Double>, Span<Complex<Double>>, Int32)	Performs one of the matrix-vector operations y := alphaAx + betay, or y := alphaA^Tx + betay, or y := alphaA^Hx + beta*y, where alpha and beta are scalars, x, incx and y are vectors and A is an m by n band matrix, with kl sub-diagonals and ku super-diagonals.
BandMultiplyAndAddInPlace(TransposeOperation, Int32, Int32, Int32, Int32, Double, ReadOnlySpan<Double>, Int32, ReadOnlySpan<Double>, Int32, Double, Span<Double>, Int32)	Performs one of the matrix-vector operations y := alphaAx + betay, or y := alphaA^Tx + betay, 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(TransposeOperation, Int32, Int32, Int32, Int32, Complex<Double>, ReadOnlySpan<Complex<Double>>, Int32, ReadOnlySpan<Complex<Double>>, Int32, Complex<Double>, Span<Complex<Double>>, Int32)

Performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A^T*x + beta*y, or y := alpha*A^H*x + beta*y, where alpha and beta are scalars, x, incx and y are vectors and A is an m by n band matrix, with kl sub-diagonals and ku super-diagonals.

public override void BandMultiplyAndAddInPlace(
	TransposeOperation trans,
	int m,
	int n,
	int kl,
	int ku,
	Complex<double> alpha,
	ReadOnlySpan<Complex<double>> a,
	int lda,
	ReadOnlySpan<Complex<double>> x,
	int incx,
	Complex<double> beta,
	Span<Complex<double>> y,
	int incy
)

Visual Basic

Public Overrides Sub BandMultiplyAndAddInPlace ( 
	trans As TransposeOperation,
	m As Integer,
	n As Integer,
	kl As Integer,
	ku As Integer,
	alpha As Complex(Of Double),
	a As ReadOnlySpan(Of Complex(Of Double)),
	lda As Integer,
	x As ReadOnlySpan(Of Complex(Of Double)),
	incx As Integer,
	beta As Complex(Of Double),
	y As Span(Of Complex(Of Double)),
	incy As Integer
)

C++/CLI

public:
virtual void BandMultiplyAndAddInPlace(
	TransposeOperation trans, 
	int m, 
	int n, 
	int kl, 
	int ku, 
	Complex<double> alpha, 
	ReadOnlySpan<Complex<double>> a, 
	int lda, 
	ReadOnlySpan<Complex<double>> x, 
	int incx, 
	Complex<double> beta, 
	Span<Complex<double>> y, 
	int incy
) override

abstract BandMultiplyAndAddInPlace : 
        trans : TransposeOperation * 
        m : int * 
        n : int * 
        kl : int * 
        ku : int * 
        alpha : Complex<float> * 
        a : ReadOnlySpan<Complex<float>> * 
        lda : int * 
        x : ReadOnlySpan<Complex<float>> * 
        incx : int * 
        beta : Complex<float> * 
        y : Span<Complex<float>> * 
        incy : int -> unit 
override BandMultiplyAndAddInPlace : 
        trans : TransposeOperation * 
        m : int * 
        n : int * 
        kl : int * 
        ku : int * 
        alpha : Complex<float> * 
        a : ReadOnlySpan<Complex<float>> * 
        lda : int * 
        x : ReadOnlySpan<Complex<float>> * 
        incx : int * 
        beta : Complex<float> * 
        y : Span<Complex<float>> * 
        incy : int -> unit

Parameters

trans TransposeOperation

             On entry, TRANS specifies the operation to be performed as
             follows:
                TRANS = 'N' or 'n'   y := alpha*A*x + beta*y.
                TRANS = 'T' or 't'   y := alpha*A^T*x + beta*y.
                TRANS = 'C' or 'c'   y := alpha*A^H*x + beta*y.

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.

kl Int32

             On entry, KL specifies the number of sub-diagonals of the
             matrix A. KL must satisfy  0 .le. KL.

ku Int32

             On entry, KU specifies the number of super-diagonals of the
             matrix A. KU must satisfy  0 .le. KU.

alpha Complex<Double>

             On entry, ALPHA specifies the scalar alpha.

a ReadOnlySpan<Complex<Double>>

            A is complex array of DIMENSION ( LDA, n ).
             Before entry, the leading ( kl + ku + 1 ) by n part of the
             array A must contain the matrix of coefficients, supplied
             column by column, with the leading diagonal of the matrix in
             row ( ku + 1 ) of the array, the first super-diagonal
             starting at position 2 in row ku, the first sub-diagonal
             starting at position 1 in row ( ku + 2 ), and so on.
             Elements in the array A that do not correspond to elements
             in the band matrix (such as the top left ku by ku triangle)
             are not referenced.
             The following program segment will transfer a band matrix
             from conventional full matrix storage to band storage:
                   DO 20, J = 1, N
                      K = KU + 1 - J
                      DO 10, I = MAX( 1, J - KU ), MIN( M, J + KL )
                         A( K + I, J ) = matrix( I, J )
                10    CONTINUE
                20 CONTINUE

lda Int32

             On entry, LDA specifies the first dimension of A as declared
             in the calling (sub) program. LDA must be at least
             ( kl + ku + 1 ).

x ReadOnlySpan<Complex<Double>>

            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<Double>

             On entry, BETA specifies the scalar beta. When BETA is
             supplied as zero then Y need not be set on input.

y Span<Complex<Double>>

            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, 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>.BandMultiplyAndAddInPlace(TransposeOperation, Int32, Int32, 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

BandMultiplyAndAddInPlace(TransposeOperation, Int32, Int32, Int32, Int32, Double, ReadOnlySpan<Double>, Int32, ReadOnlySpan<Double>, Int32, Double, Span<Double>, Int32)

Performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A^T*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.

public override void BandMultiplyAndAddInPlace(
	TransposeOperation transA,
	int m,
	int n,
	int kl,
	int ku,
	double alpha,
	ReadOnlySpan<double> a,
	int lda,
	ReadOnlySpan<double> x,
	int incx,
	double beta,
	Span<double> y,
	int incy
)

Visual Basic

Public Overrides Sub BandMultiplyAndAddInPlace ( 
	transA As TransposeOperation,
	m As Integer,
	n As Integer,
	kl As Integer,
	ku As Integer,
	alpha As Double,
	a As ReadOnlySpan(Of Double),
	lda As Integer,
	x As ReadOnlySpan(Of Double),
	incx As Integer,
	beta As Double,
	y As Span(Of Double),
	incy As Integer
)

C++/CLI

public:
virtual void BandMultiplyAndAddInPlace(
	TransposeOperation transA, 
	int m, 
	int n, 
	int kl, 
	int ku, 
	double alpha, 
	ReadOnlySpan<double> a, 
	int lda, 
	ReadOnlySpan<double> x, 
	int incx, 
	double beta, 
	Span<double> y, 
	int incy
) override

abstract BandMultiplyAndAddInPlace : 
        transA : TransposeOperation * 
        m : int * 
        n : int * 
        kl : int * 
        ku : int * 
        alpha : float * 
        a : ReadOnlySpan<float> * 
        lda : int * 
        x : ReadOnlySpan<float> * 
        incx : int * 
        beta : float * 
        y : Span<float> * 
        incy : int -> unit 
override BandMultiplyAndAddInPlace : 
        transA : TransposeOperation * 
        m : int * 
        n : int * 
        kl : int * 
        ku : int * 
        alpha : float * 
        a : ReadOnlySpan<float> * 
        lda : int * 
        x : ReadOnlySpan<float> * 
        incx : int * 
        beta : float * 
        y : Span<float> * 
        incy : int -> unit

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.

kl Int32

             On entry, KL specifies the number of sub-diagonals of the
             matrix A. KL must satisfy  0 .le. KL.

ku Int32

             On entry, KU specifies the number of super-diagonals of the
             matrix A. KU must satisfy  0 .le. KU.

alpha Double

            ALPHA is DOUBLE PRECISION.
             On entry, ALPHA specifies the scalar alpha.

a ReadOnlySpan<Double>

            A is DOUBLE PRECISION array of DIMENSION ( LDA, n ).
             Before entry, the leading ( kl + ku + 1 ) by n part of the
             array A must contain the matrix of coefficients, supplied
             column by column, with the leading diagonal of the matrix in
             row ( ku + 1 ) of the array, the first super-diagonal
             starting at position 2 in row ku, the first sub-diagonal
             starting at position 1 in row ( ku + 2 ), and so on.
             Elements in the array A that do not correspond to elements
             in the band matrix (such as the top left ku by ku triangle)
             are not referenced.
             The following program segment will transfer a band matrix
             from conventional full matrix storage to band storage:
                   DO 20, J = 1, N
                      K = KU + 1 - J
                      DO 10, I = MAX( 1, J - KU ), MIN( M, J + KL )
                         A( K + I, J ) = matrix( I, J )
                10    CONTINUE
                20 CONTINUE

lda Int32

             On entry, LDA specifies the first dimension of A as declared
             in the calling (sub) program. LDA must be at least
             ( kl + ku + 1 ).

x ReadOnlySpan<Double>

            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 Double

            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<Double>

            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, 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>.BandMultiplyAndAddInPlace(TransposeOperation, Int32, Int32, 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

ManagedLinearAlgebraOperations.BandMultiplyAndAddInPlace Method

Definition

Overload List

BandMultiplyAndAddInPlace(TransposeOperation, Int32, Int32, Int32, Int32, Complex<Double>, ReadOnlySpan<Complex<Double>>, Int32, ReadOnlySpan<Complex<Double>>, Int32, Complex<Double>, Span<Complex<Double>>, Int32)

Parameters

Implements

Remarks

Further Details:

BandMultiplyAndAddInPlace(TransposeOperation, Int32, Int32, Int32, Int32, Double, ReadOnlySpan<Double>, Int32, ReadOnlySpan<Double>, Int32, Double, Span<Double>, Int32)

Parameters

Implements

Remarks

Further Details:

See Also

Reference