sopgtr - generate 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
SUBROUTINE SOPGTR(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER*1 UPLO INTEGER N, LDQ, INFO REAL AP(*), TAU(*), Q(LDQ,*), WORK(*) SUBROUTINE SOPGTR_64(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER*1 UPLO INTEGER*8 N, LDQ, INFO REAL AP(*), TAU(*), Q(LDQ,*), WORK(*) F95 INTERFACE SUBROUTINE OPGTR(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER(LEN=1) :: UPLO INTEGER :: N, LDQ, INFO REAL, DIMENSION(:) :: AP, TAU, WORK REAL, DIMENSION(:,:) :: Q SUBROUTINE OPGTR_64(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER(LEN=1) :: UPLO INTEGER(8) :: N, LDQ, INFO REAL, DIMENSION(:) :: AP, TAU, WORK REAL, DIMENSION(:,:) :: Q C INTERFACE #include <sunperf.h> void sopgtr(char uplo, int n, float *ap, float *tau, float *q, int ldq, int *info); void sopgtr_64(char uplo, long n, float *ap, float *tau, float *q, long ldq, long *info);
Oracle Solaris Studio Performance Library sopgtr(3P) NAME sopgtr - generate 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 SYNOPSIS SUBROUTINE SOPGTR(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER*1 UPLO INTEGER N, LDQ, INFO REAL AP(*), TAU(*), Q(LDQ,*), WORK(*) SUBROUTINE SOPGTR_64(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER*1 UPLO INTEGER*8 N, LDQ, INFO REAL AP(*), TAU(*), Q(LDQ,*), WORK(*) F95 INTERFACE SUBROUTINE OPGTR(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER(LEN=1) :: UPLO INTEGER :: N, LDQ, INFO REAL, DIMENSION(:) :: AP, TAU, WORK REAL, DIMENSION(:,:) :: Q SUBROUTINE OPGTR_64(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER(LEN=1) :: UPLO INTEGER(8) :: N, LDQ, INFO REAL, DIMENSION(:) :: AP, TAU, WORK REAL, DIMENSION(:,:) :: Q C INTERFACE #include <sunperf.h> void sopgtr(char uplo, int n, float *ap, float *tau, float *q, int ldq, int *info); void sopgtr_64(char uplo, long n, float *ap, float *tau, float *q, long ldq, long *info); 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 = 'U', Q = H(n-1) . . . H(2) H(1), if UPLO = 'L', Q = H(1) H(2) . . . H(n-1). ARGUMENTS UPLO (input) = 'U': Upper triangular packed storage used in previous call to SSPTRD; = 'L': Lower triangular packed storage used in previous call to SSPTRD. N (input) The order of the matrix Q. N >= 0. AP (input) The vectors which define the elementary reflectors, as returned by SSPTRD. TAU (input) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SSPTRD. Q (output) The N-by-N orthogonal matrix Q. LDQ (input) The leading dimension of the array Q. LDQ >= max(1,N). WORK (workspace) dimension(N-1) INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value 7 Nov 2015 sopgtr(3P)