Overwrites the general real M-by-N matrix C with
SIDE = 'L' SIDE = 'R'
TRANS = 'N': Q * C C * Q
TRANS = 'T': QT * C C * QT
where Q is a real orthogonal matrix defined as the product of k
elementary reflectors
Q = H(1) H(2) .
Namespace: Extreme.Mathematics.ImplementationAssembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.17114.0)
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
Supported in: 5.x
Reference