DecompositionOperations<TReal, TComplex>.LQOrthogonalMultiply Method

public void LQOrthogonalMultiply(
	MatrixOperationSide side,
	TransposeOperation trans,
	int m,
	int n,
	int k,
	Array2D<TReal> a,
	Array1D<TReal> tau,
	Array2D<TReal> c,
	out int info
)

Public Sub LQOrthogonalMultiply ( 
	side As MatrixOperationSide,
	trans As TransposeOperation,
	m As Integer,
	n As Integer,
	k As Integer,
	a As Array2D(Of TReal),
	tau As Array1D(Of TReal),
	c As Array2D(Of TReal),
	<OutAttribute> ByRef info As Integer
)

public:
void LQOrthogonalMultiply(
	MatrixOperationSide side, 
	TransposeOperation trans, 
	int m, 
	int n, 
	int k, 
	Array2D<TReal> a, 
	Array1D<TReal> tau, 
	Array2D<TReal> c, 
	[OutAttribute] int% info
)

member LQOrthogonalMultiply : 
        side : MatrixOperationSide * 
        trans : TransposeOperation * 
        m : int * 
        n : int * 
        k : int * 
        a : Array2D<'TReal> * 
        tau : Array1D<'TReal> * 
        c : Array2D<'TReal> * 
        info : int byref -> unit 

Parameters

side  MatrixOperationSide

C# Copy

SIDE is CHARACTER*1
= 'L': apply Q or Q**T from the Left;
= 'R': apply Q or Q**T from the Right.

trans  TransposeOperation

C# Copy

TRANS is CHARACTER*1
= 'N':  No transpose, apply Q;
= 'T':  Transpose, apply Q**T.

m  Int32

C# Copy

M is INTEGER
The number of rows of the matrix C. M >= 0.

n  Int32

C# Copy

N is INTEGER
The number of columns of the matrix C. N >= 0.

k  Int32

C# Copy

K is INTEGER
The number of elementary reflectors whose product defines
the matrix Q.
If SIDE = 'L', M >= K >= 0;
if SIDE = 'R', N >= K >= 0.

a  Array2D<TReal>

C# Copy

A is DOUBLE PRECISION array, dimension
                     (LDA,M) if SIDE = 'L',
                     (LDA,N) if SIDE = 'R'
The i-th row must contain the vector which defines the
elementary reflector H(i), for i = 1,2,...,k, as returned by
DGELQF in the first k rows of its array argument A.

C# Copy

LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,K).

tau  Array1D<TReal>

C# Copy

TAU is DOUBLE PRECISION array, dimension (K)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by DGELQF.

c  Array2D<TReal>

C# Copy

C is DOUBLE PRECISION array, dimension (LDC,N)
On entry, the M-by-N matrix C.
On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q.

C# Copy

LDC is INTEGER
The leading dimension of the array C. LDC >= max(1,M).

info  Int32

C# Copy

INFO is INTEGER
= 0:  successful exit
< 0:  if INFO = -i, the i-th argument had an illegal value

. . H(2) H(1)
as returned by DGELQF. Q is of order M if SIDE = 'L' and of order N
if SIDE = 'R'.

Authors: Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver, NAG Ltd.

Date: November 2015

public void LQOrthogonalMultiply(
	MatrixOperationSide side,
	TransposeOperation trans,
	int m,
	int n,
	int k,
	Span2D<TReal> a,
	ReadOnlySpan<TReal> tau,
	Span2D<TReal> c,
	out int info
)

Public Sub LQOrthogonalMultiply ( 
	side As MatrixOperationSide,
	trans As TransposeOperation,
	m As Integer,
	n As Integer,
	k As Integer,
	a As Span2D(Of TReal),
	tau As ReadOnlySpan(Of TReal),
	c As Span2D(Of TReal),
	<OutAttribute> ByRef info As Integer
)

public:
void LQOrthogonalMultiply(
	MatrixOperationSide side, 
	TransposeOperation trans, 
	int m, 
	int n, 
	int k, 
	Span2D<TReal> a, 
	ReadOnlySpan<TReal> tau, 
	Span2D<TReal> c, 
	[OutAttribute] int% info
)

member LQOrthogonalMultiply : 
        side : MatrixOperationSide * 
        trans : TransposeOperation * 
        m : int * 
        n : int * 
        k : int * 
        a : Span2D<'TReal> * 
        tau : ReadOnlySpan<'TReal> * 
        c : Span2D<'TReal> * 
        info : int byref -> unit 

Parameters

side  MatrixOperationSide

C# Copy

SIDE is CHARACTER*1
= 'L': apply Q or Q**T from the Left;
= 'R': apply Q or Q**T from the Right.

trans  TransposeOperation

C# Copy

TRANS is CHARACTER*1
= 'N':  No transpose, apply Q;
= 'T':  Transpose, apply Q**T.

m  Int32

C# Copy

M is INTEGER
The number of rows of the matrix C. M >= 0.

n  Int32

C# Copy

N is INTEGER
The number of columns of the matrix C. N >= 0.

k  Int32

C# Copy

K is INTEGER
The number of elementary reflectors whose product defines
the matrix Q.
If SIDE = 'L', M >= K >= 0;
if SIDE = 'R', N >= K >= 0.

a  Span2D<TReal>

C# Copy

A is DOUBLE PRECISION array, dimension
                     (LDA,M) if SIDE = 'L',
                     (LDA,N) if SIDE = 'R'
The i-th row must contain the vector which defines the
elementary reflector H(i), for i = 1,2,...,k, as returned by
DGELQF in the first k rows of its array argument A.

C# Copy

LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,K).

tau  ReadOnlySpan<TReal>

C# Copy

TAU is DOUBLE PRECISION array, dimension (K)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by DGELQF.

c  Span2D<TReal>

C# Copy

C is DOUBLE PRECISION array, dimension (LDC,N)
On entry, the M-by-N matrix C.
On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q.

C# Copy

LDC is INTEGER
The leading dimension of the array C. LDC >= max(1,M).

info  Int32

C# Copy

INFO is INTEGER
= 0:  successful exit
< 0:  if INFO = -i, the i-th argument had an illegal value

. . H(2) H(1)
as returned by DGELQF. Q is of order M if SIDE = 'L' and of order N
if SIDE = 'R'.

Authors: Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver, NAG Ltd.

Date: November 2015

public abstract void LQOrthogonalMultiply(
	MatrixOperationSide side,
	TransposeOperation trans,
	int m,
	int n,
	int k,
	Span<TReal> a,
	int lda,
	ReadOnlySpan<TReal> tau,
	Span<TReal> c,
	int ldc,
	out int info
)

Public MustOverride Sub LQOrthogonalMultiply ( 
	side As MatrixOperationSide,
	trans As TransposeOperation,
	m As Integer,
	n As Integer,
	k As Integer,
	a As Span(Of TReal),
	lda As Integer,
	tau As ReadOnlySpan(Of TReal),
	c As Span(Of TReal),
	ldc As Integer,
	<OutAttribute> ByRef info As Integer
)

public:
virtual void LQOrthogonalMultiply(
	MatrixOperationSide side, 
	TransposeOperation trans, 
	int m, 
	int n, 
	int k, 
	Span<TReal> a, 
	int lda, 
	ReadOnlySpan<TReal> tau, 
	Span<TReal> c, 
	int ldc, 
	[OutAttribute] int% info
) abstract

abstract LQOrthogonalMultiply : 
        side : MatrixOperationSide * 
        trans : TransposeOperation * 
        m : int * 
        n : int * 
        k : int * 
        a : Span<'TReal> * 
        lda : int * 
        tau : ReadOnlySpan<'TReal> * 
        c : Span<'TReal> * 
        ldc : int * 
        info : int byref -> unit 

Parameters

side  MatrixOperationSide

C# Copy

SIDE is CHARACTER*1
= 'L': apply Q or Q**T from the Left;
= 'R': apply Q or Q**T from the Right.

trans  TransposeOperation

C# Copy

TRANS is CHARACTER*1
= 'N':  No transpose, apply Q;
= 'T':  Transpose, apply Q**T.

m  Int32

C# Copy

M is INTEGER
The number of rows of the matrix C. M >= 0.

n  Int32

C# Copy

N is INTEGER
The number of columns of the matrix C. N >= 0.

k  Int32

C# Copy

K is INTEGER
The number of elementary reflectors whose product defines
the matrix Q.
If SIDE = 'L', M >= K >= 0;
if SIDE = 'R', N >= K >= 0.

a  Span<TReal>

C# Copy

A is DOUBLE PRECISION array, dimension
                     (LDA,M) if SIDE = 'L',
                     (LDA,N) if SIDE = 'R'
The i-th row must contain the vector which defines the
elementary reflector H(i), for i = 1,2,...,k, as returned by
DGELQF in the first k rows of its array argument A.

lda  Int32

C# Copy

LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,K).

tau  ReadOnlySpan<TReal>

C# Copy

TAU is DOUBLE PRECISION array, dimension (K)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by DGELQF.

c  Span<TReal>

C# Copy

C is DOUBLE PRECISION array, dimension (LDC,N)
On entry, the M-by-N matrix C.
On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q.

ldc  Int32

C# Copy

LDC is INTEGER
The leading dimension of the array C. LDC >= max(1,M).

info  Int32

C# Copy

INFO is INTEGER
= 0:  successful exit
< 0:  if INFO = -i, the i-th argument had an illegal value

. . H(2) H(1)
as returned by DGELQF. Q is of order M if SIDE = 'L' and of order N
if SIDE = 'R'.

Authors: Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver, NAG Ltd.

Date: November 2015

Reference