cunml2-f(3)

cunml2.f –

Synopsis

Functions/Subroutines

subroutine cunml2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
CUNML2 multiplies a general matrix by the unitary matrix from a LQ factorization determined by cgelqf (unblocked algorithm).

Function/Subroutine Documentation

subroutine cunml2 (characterSIDE, characterTRANS, integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK, integerINFO)

CUNML2 multiplies a general matrix by the unitary matrix from a LQ factorization determined by cgelqf (unblocked algorithm).

Purpose:

 CUNML2 overwrites the general complex m-by-n matrix C with
 Q * C if SIDE = 'L' and TRANS = 'N', or
 Q**H* C if SIDE = 'L' and TRANS = 'C', or
 C * Q if SIDE = 'R' and TRANS = 'N', or
 C * Q**H if SIDE = 'R' and TRANS = 'C',
 where Q is a complex unitary matrix defined as the product of k
 elementary reflectors
 Q = H(k)**H . . . H(2)**H H(1)**H
 as returned by CGELQF. Q is of order m if SIDE = 'L' and of order n
 if SIDE = 'R'.

Parameters:

SIDE

 SIDE is CHARACTER*1
 = 'L': apply Q or Q**H from the Left
 = 'R': apply Q or Q**H from the Right

TRANS

 TRANS is CHARACTER*1
 = 'N': apply Q (No transpose)
 = 'C': apply Q**H (Conjugate transpose)

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

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

 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 is COMPLEX 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
 CGELQF in the first k rows of its array argument A.
 A is modified by the routine but restored on exit.

LDA

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

TAU

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

 C is COMPLEX array, dimension (LDC,N)
 On entry, the m-by-n matrix C.
 On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.

LDC

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

WORK

 WORK is COMPLEX array, dimension
 (N) if SIDE = 'L',
 (M) if SIDE = 'R'

INFO

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

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

September 2012

Definition at line 159 of file cunml2.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.