CUNMHR (3) Linux Manual Page

cunmhr.f –

Synopsis

Functions/Subroutines

subroutine cunmhr (SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
CUNMHR

Function/Subroutine Documentation

subroutine cunmhr (characterSIDE, characterTRANS, integerM, integerN, integerILO, integerIHI, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK, integerLWORK, integerINFO)

CUNMHR

Purpose:

 CUNMHR overwrites the general complex M-by-N matrix C with

 SIDE = ‘L’ SIDE = ‘R’

 TRANS = ‘N’: Q * C C * Q

 TRANS = ‘C’: Q**H * C C * Q**H

 where Q is a complex unitary matrix of order nq, with nq = m if

 SIDE = ‘L’ and nq = n if SIDE = ‘R’. Q is defined as the product of

 IHI-ILO elementary reflectors, as returned by CGEHRD:

 Q = H(ilo) H(ilo+1) . . . H(ihi-1).

 

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

 M is INTEGER

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

N

 N is INTEGER

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

ILO

 ILO is INTEGER

IHI

 IHI is INTEGER

 ILO and IHI must have the same values as in the previous call

 of CGEHRD. Q is equal to the unit matrix except in the

 submatrix Q(ilo+1:ihi,ilo+1:ihi).

 If SIDE = ‘L’, then 1 <= ILO <= IHI <= M, if M > 0, and

 ILO = 1 and IHI = 0, if M = 0;

 if SIDE = ‘R’, then 1 <= ILO <= IHI <= N, if N > 0, and

 ILO = 1 and IHI = 0, if N = 0.

A

 A is COMPLEX array, dimension

 (LDA,M) if SIDE = ‘L’

 (LDA,N) if SIDE = ‘R’

 The vectors which define the elementary reflectors, as

 returned by CGEHRD.

LDA

 LDA is INTEGER

 The leading dimension of the array A.

 LDA >= max(1,M) if SIDE = ‘L’; LDA >= max(1,N) if SIDE = ‘R’.

TAU

 TAU is COMPLEX 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 CGEHRD.

C

 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 (MAX(1,LWORK))

 On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

LWORK

 LWORK is INTEGER

 The dimension of the array WORK.

 If SIDE = ‘L’, LWORK >= max(1,N);

 if SIDE = ‘R’, LWORK >= max(1,M).

 For optimum performance LWORK >= N*NB if SIDE = ‘L’, and

 LWORK >= 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

 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:

November 2011

Definition at line 179 of file cunmhr.f.

Author

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