zupmtr(3P) Sun Performance Library zupmtr(3P)NAMEzupmtr - overwrite the general complex M-by-N matrix C with SIDE =
'L' SIDE = 'R' TRANS = 'N'
SYNOPSIS
SUBROUTINE ZUPMTR(SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK,
INFO)
CHARACTER * 1 SIDE, UPLO, TRANS
DOUBLE COMPLEX AP(*), TAU(*), C(LDC,*), WORK(*)
INTEGER M, N, LDC, INFO
SUBROUTINE ZUPMTR_64(SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK,
INFO)
CHARACTER * 1 SIDE, UPLO, TRANS
DOUBLE COMPLEX AP(*), TAU(*), C(LDC,*), WORK(*)
INTEGER*8 M, N, LDC, INFO
F95 INTERFACE
SUBROUTINE UPMTR(SIDE, UPLO, [TRANS], [M], [N], AP, TAU, C, [LDC],
[WORK], [INFO])
CHARACTER(LEN=1) :: SIDE, UPLO, TRANS
COMPLEX(8), DIMENSION(:) :: AP, TAU, WORK
COMPLEX(8), DIMENSION(:,:) :: C
INTEGER :: M, N, LDC, INFO
SUBROUTINE UPMTR_64(SIDE, UPLO, [TRANS], [M], [N], AP, TAU, C, [LDC],
[WORK], [INFO])
CHARACTER(LEN=1) :: SIDE, UPLO, TRANS
COMPLEX(8), DIMENSION(:) :: AP, TAU, WORK
COMPLEX(8), DIMENSION(:,:) :: C
INTEGER(8) :: M, N, LDC, INFO
C INTERFACE
#include <sunperf.h>
void zupmtr(char side, char uplo, char trans, int m, int n, doublecom‐
plex *ap, doublecomplex *tau, doublecomplex *c, int ldc, int
*info);
void zupmtr_64(char side, char uplo, char trans, long m, long n, dou‐
blecomplex *ap, doublecomplex *tau, doublecomplex *c, long
ldc, long *info);
PURPOSEzupmtr 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 nq-1 ele‐
mentary reflectors, as returned by ZHPTRD using packed storage:
if UPLO = 'U', Q = H(nq-1) . . . H(2)H(1);
if UPLO = 'L', Q = H(1)H(2) . . . H(nq-1).
ARGUMENTS
SIDE (input)
= 'L': apply Q or Q**H from the Left;
= 'R': apply Q or Q**H from the Right.
UPLO (input)
= 'U': Upper triangular packed storage used in previous call
to ZHPTRD;
= 'L': Lower triangular packed storage used in previous call
to ZHPTRD.
TRANS (input)
= 'N': No transpose, apply Q;
= 'C': Conjugate transpose, apply Q**H.
TRANS is defaulted to 'N' for F95 INTERFACE.
M (input)
The number of rows of the matrix C. M >= 0.
N (input)
The number of columns of the matrix C. N >= 0.
AP (input)
dimension
(M*(M+1)/2) if SIDE = 'L'
(N*(N+1)/2) if SIDE = 'R'
The vectors which define the elementary reflectors, as
returned by ZHPTRD. AP is modified by the routine but
restored on exit.
TAU (input)
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 ZHPTRD.
C (input/output)
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 (input)
The leading dimension of the array C. LDC >= max(1,M).
WORK (workspace)
dimension
(N) if SIDE = 'L'
(M) if SIDE = 'R'
INFO (output)
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
6 Mar 2009 zupmtr(3P)
