sopgtr (l) - Linux Manuals
sopgtr: generates a real orthogonal matrix Q which is defined as the product of n-1 elementary reflectors H(i) of order n, as returned by SSPTRD using packed storage
NAME
SOPGTR - generates a real orthogonal matrix Q which is defined as the product of n-1 elementary reflectors H(i) of order n, as returned by SSPTRD using packed storageSYNOPSIS
- SUBROUTINE SOPGTR(
- UPLO, N, AP, TAU, Q, LDQ, WORK, INFO )
- CHARACTER UPLO
- INTEGER INFO, LDQ, N
- REAL AP( * ), Q( LDQ, * ), TAU( * ), WORK( * )
PURPOSE
SOPGTR generates a real orthogonal matrix Q which is defined as the product of n-1 elementary reflectors H(i) of order n, as returned by SSPTRD using packed storage: if UPLO = aqUaq, Q = H(n-1) . . . H(2) H(1),if UPLO = aqLaq, Q = H(1) H(2) . . . H(n-1).
ARGUMENTS
- UPLO (input) CHARACTER*1
- = aqUaq: Upper triangular packed storage used in previous call to SSPTRD; = aqLaq: Lower triangular packed storage used in previous call to SSPTRD.
- N (input) INTEGER
- The order of the matrix Q. N >= 0.
- AP (input) REAL array, dimension (N*(N+1)/2)
- The vectors which define the elementary reflectors, as returned by SSPTRD.
- TAU (input) REAL array, dimension (N-1)
- TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SSPTRD.
- Q (output) REAL array, dimension (LDQ,N)
- The N-by-N orthogonal matrix Q.
- LDQ (input) INTEGER
- The leading dimension of the array Q. LDQ >= max(1,N).
- WORK (workspace) REAL array, dimension (N-1)
- INFO (output) INTEGER
-
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value