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

Public MustOverride Sub QROrthogonalMultiply ( 
	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:
virtual void QROrthogonalMultiply(
	MatrixOperationSide side, 
	TransposeOperation trans, 
	int m, 
	int n, 
	int k, 
	Array2D<TReal> a, 
	Array1D<TReal> tau, 
	Array2D<TReal> c, 
	[OutAttribute] int% info
) abstract

abstract QROrthogonalMultiply : 
        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

Type: Extreme.MathematicsMatrixOperationSide

            = 'L': apply Q or QT from the Left;
            = 'R': apply Q or QT from the Right.
            

trans

Type: Extreme.MathematicsTransposeOperation

            = 'N':  No transpose, apply Q;
            = 'T':  Transpose, apply QT.
            

m

Type: SystemInt32

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

n

Type: SystemInt32

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

k

Type: SystemInt32

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

a

Type: Extreme.CollectionsArray2DTReal

            A is TReal array, dimension (LDA,K)
            The i-th column must contain the vector which defines the
            elementary reflector H(i), for i = 1,2,...,k, as returned by
            DGEQRF in the first k columns of its array argument A.
            A is modified by the routine but restored on exit.
            

            The leading dimension of the array A.
            If SIDE = 'L', LDA >= max(1,M);
            if SIDE = 'R', LDA >= max(1,N).
            

tau

Type: Extreme.CollectionsArray1DTReal

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

c

Type: Extreme.CollectionsArray2DTReal

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

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

info

Type: SystemInt32

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

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

This method corresponds to the LAPACK routine ?ORMQR.

Numerical Libraries

Reference