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DORMTRRun Method

Purpose ======= DORMTR overwrites the general real M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': Q * C C * Q TRANS = 'T': Q**T * C C * Q**T where Q is a real orthogonal matrix of order nq, with nq = m if SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of nq-1 elementary reflectors, as returned by DSYTRD: if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1); if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1).

Namespace: DotNumerics.LinearAlgebra.CSLapack
Assembly: DWSIM.MathOps.DotNumerics (in DWSIM.MathOps.DotNumerics.dll) Version: 1.0.0.0 (1.0.0.0)
Syntax
public void Run(
	string SIDE,
	string UPLO,
	string TRANS,
	int M,
	int N,
	ref double[] A,
	int offset_a,
	int LDA,
	double[] TAU,
	int offset_tau,
	ref double[] C,
	int offset_c,
	int LDC,
	ref double[] WORK,
	int offset_work,
	int LWORK,
	ref int INFO
)
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Parameters

SIDE  String
= 'L' SIDE = 'R'
UPLO  String
(input) CHARACTER*1 = 'U': Upper triangle of A contains elementary reflectors from DSYTRD; = 'L': Lower triangle of A contains elementary reflectors from DSYTRD.
TRANS  String
(input) CHARACTER*1 = 'N': No transpose, apply Q; = 'T': Transpose, apply Q**T.
M  Int32
(input) INTEGER The number of rows of the matrix C. M .GE. 0.
N  Int32
(input) INTEGER The number of columns of the matrix C. N .GE. 0.
A  Double
(input) DOUBLE PRECISION array, dimension (LDA,M) if SIDE = 'L' (LDA,N) if SIDE = 'R' The vectors which define the elementary reflectors, as returned by DSYTRD.
offset_a  Int32
 
LDA  Int32
(input) INTEGER The leading dimension of the array A. LDA .GE. max(1,M) if SIDE = 'L'; LDA .GE. max(1,N) if SIDE = 'R'.
TAU  Double
(input) DOUBLE PRECISION array, dimension (M-1) if SIDE = 'L' (N-1) if SIDE = 'R' TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by DSYTRD.
offset_tau  Int32
 
C  Double
(input/output) 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.
offset_c  Int32
 
LDC  Int32
(input) INTEGER The leading dimension of the array C. LDC .GE. max(1,M).
WORK  Double
(workspace/output) DOUBLE PRECISION array, dimension (MAX(1,LWORK)) On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
offset_work  Int32
 
LWORK  Int32
(input) INTEGER The dimension of the array WORK. If SIDE = 'L', LWORK .GE. max(1,N); if SIDE = 'R', LWORK .GE. max(1,M). For optimum performance LWORK .GE. N*NB if SIDE = 'L', and LWORK .GE. M*NB if SIDE = 'R', where NB is the optimal blocksize. If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.
INFO  Int32
(output) INTEGER = 0: successful exit .LT. 0: if INFO = -i, the i-th argument had an illegal value
See Also