dopmtr (l) - Linux Man Pages

dopmtr: overwrites the general real M-by-N matrix C with SIDE = aqLaq SIDE = aqRaq TRANS = aqNaq

NAME

DOPMTR - overwrites the general real M-by-N matrix C with SIDE = aqLaq SIDE = aqRaq TRANS = aqNaq

SYNOPSIS

SUBROUTINE DOPMTR(
SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO )

    
CHARACTER SIDE, TRANS, UPLO

    
INTEGER INFO, LDC, M, N

    
DOUBLE PRECISION AP( * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE

DOPMTR overwrites the general real M-by-N matrix C with TRANS = aqTaq: Q**T * C C * Q**T
where Q is a real orthogonal matrix of order nq, with nq = m if SIDE = aqLaq and nq = n if SIDE = aqRaq. Q is defined as the product of nq-1 elementary reflectors, as returned by DSPTRD using packed storage:
if UPLO = aqUaq, Q = H(nq-1) . . . H(2) H(1);
if UPLO = aqLaq, Q = H(1) H(2) . . . H(nq-1).

ARGUMENTS

SIDE (input) CHARACTER*1
= aqLaq: apply Q or Q**T from the Left;
= aqRaq: apply Q or Q**T from the Right.
UPLO (input) CHARACTER*1

= aqUaq: Upper triangular packed storage used in previous call to DSPTRD; = aqLaq: Lower triangular packed storage used in previous call to DSPTRD.
TRANS (input) CHARACTER*1
= aqNaq: No transpose, apply Q;
= aqTaq: Transpose, apply Q**T.
M (input) INTEGER
The number of rows of the matrix C. M >= 0.
N (input) INTEGER
The number of columns of the matrix C. N >= 0.
AP (input) DOUBLE PRECISION array, dimension
(M*(M+1)/2) if SIDE = aqLaq (N*(N+1)/2) if SIDE = aqRaq The vectors which define the elementary reflectors, as returned by DSPTRD. AP is modified by the routine but restored on exit.
TAU (input) DOUBLE PRECISION array, dimension (M-1) if SIDE = aqLaq
or (N-1) if SIDE = aqRaq TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by DSPTRD.
C (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.
LDC (input) INTEGER
The leading dimension of the array C. LDC >= max(1,M).
WORK (workspace) DOUBLE PRECISION array, dimension
(N) if SIDE = aqLaq (M) if SIDE = aqRaq
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value