LinearAlgebraOperations<T>.RankUpdate Method

Definition

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

Overload List

RankUpdate(Int32, Int32, T, ArraySlice<T>, ArraySlice<T>, Array2D<T>)	Performs the rank 1 operation A := alphaxy**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(Int32, Int32, Complex<T>, ArraySlice<Complex<T>>, ArraySlice<Complex<T>>, Array2D<Complex<T>>)	Performs the rank 1 operation A := alphaxy**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(Int32, Int32, Complex<T>, ReadOnlySpanSlice<Complex<T>>, ReadOnlySpanSlice<Complex<T>>, Span2D<Complex<T>>)	Performs the rank 1 operation A := alphaxy**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(Int32, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, Span<T>, Int32)	Performs the rank 1 operation A := alphaxy**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(Int32, Int32, Complex<T>, ReadOnlySpan<Complex<T>>, Int32, ReadOnlySpan<Complex<T>>, Int32, Span<Complex<T>>, Int32)	Performs the rank 1 operation A := alphaxy**T + A, where alpha is a scalar, x, incx is an m element vector, y, incy is an n element vector and A is an m by n matrix.

RankUpdate(Int32, Int32, T, ArraySlice<T>, ArraySlice<T>, Array2D<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.

public void RankUpdate(
	int m,
	int n,
	T alpha,
	ArraySlice<T> x,
	ArraySlice<T> y,
	Array2D<T> a
)

Visual Basic

Public Sub RankUpdate ( 
	m As Integer,
	n As Integer,
	alpha As T,
	x As ArraySlice(Of T),
	y As ArraySlice(Of T),
	a As Array2D(Of T)
)

C++/CLI

public:
void RankUpdate(
	int m, 
	int n, 
	T alpha, 
	ArraySlice<T> x, 
	ArraySlice<T> y, 
	Array2D<T> a
)

member RankUpdate : 
        m : int * 
        n : int * 
        alpha : 'T * 
        x : ArraySlice<'T> * 
        y : ArraySlice<'T> * 
        a : Array2D<'T> -> unit

Parameters

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 T

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

x ArraySlice<T>

            X is DOUBLE PRECISION array of dimension at least
             ( 1 + ( m - 1 )*abs( INCX ) ).
             Before entry, the incremented array X must contain the m
             element vector x.

             On entry, INCX specifies the increment for the elements of
             X. INCX must not be zero.

y ArraySlice<T>

            Y is DOUBLE PRECISION array of dimension at least
             ( 1 + ( n - 1 )*abs( INCY ) ).
             Before entry, the incremented array Y must contain the n
             element vector y.

             On entry, INCY specifies the increment for the elements of
             Y. INCY must not be zero.

a Array2D<T>

            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. On exit, A is
             overwritten by the updated matrix.

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

Remarks

Further Details:

            Level 2 LinearAlgebra routine.
            -- 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

RankUpdate(Int32, Int32, Complex<T>, ArraySlice<Complex<T>>, ArraySlice<Complex<T>>, Array2D<Complex<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.

public void RankUpdate(
	int m,
	int n,
	Complex<T> alpha,
	ArraySlice<Complex<T>> x,
	ArraySlice<Complex<T>> y,
	Array2D<Complex<T>> a
)

Visual Basic

Public Sub RankUpdate ( 
	m As Integer,
	n As Integer,
	alpha As Complex(Of T),
	x As ArraySlice(Of Complex(Of T)),
	y As ArraySlice(Of Complex(Of T)),
	a As Array2D(Of Complex(Of T))
)

C++/CLI

public:
void RankUpdate(
	int m, 
	int n, 
	Complex<T> alpha, 
	ArraySlice<Complex<T>> x, 
	ArraySlice<Complex<T>> y, 
	Array2D<Complex<T>> a
)

member RankUpdate : 
        m : int * 
        n : int * 
        alpha : Complex<'T> * 
        x : ArraySlice<Complex<'T>> * 
        y : ArraySlice<Complex<'T>> * 
        a : Array2D<Complex<'T>> -> unit

Parameters

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<T>

             On entry, ALPHA specifies the scalar alpha.

x ArraySlice<Complex<T>>

            X is complex array of dimension at least
             ( 1 + ( m - 1 )*abs( INCX ) ).
             Before entry, the incremented array X must contain the m
             element vector x.

             On entry, INCX specifies the increment for the elements of
             X. INCX must not be zero.

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 entry, INCY specifies the increment for the elements of
             Y. INCY must not be zero.

a Array2D<Complex<T>>

            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. On exit, A is
             overwritten by the updated matrix.

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

Remarks

Further Details:

            Level 2 LinearAlgebra routine.
            -- 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

RankUpdate(Int32, Int32, Complex<T>, ReadOnlySpanSlice<Complex<T>>, ReadOnlySpanSlice<Complex<T>>, Span2D<Complex<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.

public void RankUpdate(
	int m,
	int n,
	Complex<T> alpha,
	ReadOnlySpanSlice<Complex<T>> x,
	ReadOnlySpanSlice<Complex<T>> y,
	Span2D<Complex<T>> a
)

Visual Basic

Public Sub RankUpdate ( 
	m As Integer,
	n As Integer,
	alpha As Complex(Of T),
	x As ReadOnlySpanSlice(Of Complex(Of T)),
	y As ReadOnlySpanSlice(Of Complex(Of T)),
	a As Span2D(Of Complex(Of T))
)

C++/CLI

public:
void RankUpdate(
	int m, 
	int n, 
	Complex<T> alpha, 
	ReadOnlySpanSlice<Complex<T>> x, 
	ReadOnlySpanSlice<Complex<T>> y, 
	Span2D<Complex<T>> a
)

member RankUpdate : 
        m : int * 
        n : int * 
        alpha : Complex<'T> * 
        x : ReadOnlySpanSlice<Complex<'T>> * 
        y : ReadOnlySpanSlice<Complex<'T>> * 
        a : Span2D<Complex<'T>> -> unit

Parameters

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<T>

             On entry, ALPHA specifies the scalar alpha.

x ReadOnlySpanSlice<Complex<T>>

            X is complex array of dimension at least
             ( 1 + ( m - 1 )*abs( INCX ) ).
             Before entry, the incremented array X must contain the m
             element vector x.

             On entry, INCX specifies the increment for the elements of
             X. INCX must not be zero.

y ReadOnlySpanSlice<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 entry, INCY specifies the increment for the elements of
             Y. INCY must not be zero.

a Span2D<Complex<T>>

            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. On exit, A is
             overwritten by the updated matrix.

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

Remarks

Further Details:

            Level 2 LinearAlgebra routine.
            -- 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

RankUpdate(Int32, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, Span<T>, Int32)

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.

public abstract void RankUpdate(
	int m,
	int n,
	T alpha,
	ReadOnlySpan<T> x,
	int incx,
	ReadOnlySpan<T> y,
	int incy,
	Span<T> a,
	int lda
)

Visual Basic

Public MustOverride Sub RankUpdate ( 
	m As Integer,
	n As Integer,
	alpha As T,
	x As ReadOnlySpan(Of T),
	incx As Integer,
	y As ReadOnlySpan(Of T),
	incy As Integer,
	a As Span(Of T),
	lda As Integer
)

C++/CLI

public:
virtual void RankUpdate(
	int m, 
	int n, 
	T alpha, 
	ReadOnlySpan<T> x, 
	int incx, 
	ReadOnlySpan<T> y, 
	int incy, 
	Span<T> a, 
	int lda
) abstract

abstract RankUpdate : 
        m : int * 
        n : int * 
        alpha : 'T * 
        x : ReadOnlySpan<'T> * 
        incx : int * 
        y : ReadOnlySpan<'T> * 
        incy : int * 
        a : Span<'T> * 
        lda : int -> unit

Parameters

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 T

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

x ReadOnlySpan<T>

            X is DOUBLE PRECISION array of dimension at least
             ( 1 + ( m - 1 )*abs( INCX ) ).
             Before entry, the incremented array X must contain the m
             element vector x.

incx Int32

             On entry, INCX specifies the increment for the elements of
             X. INCX must not be zero.

y ReadOnlySpan<T>

            Y is DOUBLE PRECISION array of dimension at least
             ( 1 + ( n - 1 )*abs( INCY ) ).
             Before entry, the incremented array Y must contain the n
             element vector y.

incy Int32

             On entry, INCY specifies the increment for the elements of
             Y. INCY must not be zero.

a Span<T>

            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. On exit, A is
             overwritten by the updated matrix.

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 ).

Implements

ILinearAlgebraOperations<T>.RankUpdate(Int32, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, Span<T>, Int32)

Remarks

Further Details:

            Level 2 LinearAlgebra routine.
            -- 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

RankUpdate(Int32, Int32, Complex<T>, ReadOnlySpan<Complex<T>>, Int32, ReadOnlySpan<Complex<T>>, Int32, Span<Complex<T>>, Int32)

Performs the rank 1 operation A := alpha*x*y**T + A, where alpha is a scalar, x, incx is an m element vector, y, incy is an n element vector and A is an m by n matrix.

public abstract void RankUpdate(
	int m,
	int n,
	Complex<T> alpha,
	ReadOnlySpan<Complex<T>> x,
	int incx,
	ReadOnlySpan<Complex<T>> y,
	int incy,
	Span<Complex<T>> a,
	int lda
)

Visual Basic

Public MustOverride Sub RankUpdate ( 
	m As Integer,
	n As Integer,
	alpha As Complex(Of T),
	x As ReadOnlySpan(Of Complex(Of T)),
	incx As Integer,
	y As ReadOnlySpan(Of Complex(Of T)),
	incy As Integer,
	a As Span(Of Complex(Of T)),
	lda As Integer
)

C++/CLI

public:
virtual void RankUpdate(
	int m, 
	int n, 
	Complex<T> alpha, 
	ReadOnlySpan<Complex<T>> x, 
	int incx, 
	ReadOnlySpan<Complex<T>> y, 
	int incy, 
	Span<Complex<T>> a, 
	int lda
) abstract

abstract RankUpdate : 
        m : int * 
        n : int * 
        alpha : Complex<'T> * 
        x : ReadOnlySpan<Complex<'T>> * 
        incx : int * 
        y : ReadOnlySpan<Complex<'T>> * 
        incy : int * 
        a : Span<Complex<'T>> * 
        lda : int -> unit

Parameters

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<T>

             On entry, ALPHA specifies the scalar alpha.

x ReadOnlySpan<Complex<T>>

            X is complex array of dimension at least
             ( 1 + ( m - 1 )*abs( INCX ) ).
             Before entry, the incremented array X must contain the m
             element vector x.

incx Int32

             On entry, INCX specifies the increment for the elements of
             X. INCX must not be zero.

y ReadOnlySpan<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.

incy Int32

             On entry, INCY specifies the increment for the elements of
             Y. INCY must not be zero.

a Span<Complex<T>>

            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. On exit, A is
             overwritten by the updated matrix.

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 ).

Implements

ILinearAlgebraOperations<T>.RankUpdate(Int32, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, Span<T>, Int32)

Remarks

Further Details:

            Level 2 LinearAlgebra routine.
            -- 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

LinearAlgebraOperations<T>.RankUpdate Method

Definition

Overload List

RankUpdate(Int32, Int32, T, ArraySlice<T>, ArraySlice<T>, Array2D<T>)

Parameters

Remarks

Further Details:

RankUpdate(Int32, Int32, Complex<T>, ArraySlice<Complex<T>>, ArraySlice<Complex<T>>, Array2D<Complex<T>>)

Parameters

Remarks

Further Details:

RankUpdate(Int32, Int32, Complex<T>, ReadOnlySpanSlice<Complex<T>>, ReadOnlySpanSlice<Complex<T>>, Span2D<Complex<T>>)

Parameters

Remarks

Further Details:

RankUpdate(Int32, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, Span<T>, Int32)

Parameters

Implements

Remarks

Further Details:

RankUpdate(Int32, Int32, Complex<T>, ReadOnlySpan<Complex<T>>, Int32, ReadOnlySpan<Complex<T>>, Int32, Span<Complex<T>>, Int32)

Parameters

Implements

Remarks

Further Details:

See Also

Reference