sorgtr - generate a real orthogonal matrix Q which is defined as the product of n-1 elementary reflectors of order N, as returned by SSYTRD
SUBROUTINE SORGTR(UPLO, N, A, LDA, TAU, WORK, LWORK, INFO) CHARACTER*1 UPLO INTEGER N, LDA, LWORK, INFO REAL A(LDA,*), TAU(*), WORK(*) SUBROUTINE SORGTR_64(UPLO, N, A, LDA, TAU, WORK, LWORK, INFO) CHARACTER*1 UPLO INTEGER*8 N, LDA, LWORK, INFO REAL A(LDA,*), TAU(*), WORK(*) F95 INTERFACE SUBROUTINE ORGTR(UPLO, N, A, LDA, TAU, WORK, LWORK, INFO) CHARACTER(LEN=1) :: UPLO INTEGER :: N, LDA, LWORK, INFO REAL, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A SUBROUTINE ORGTR_64(UPLO, N, A, LDA, TAU, WORK, LWORK, INFO) CHARACTER(LEN=1) :: UPLO INTEGER(8) :: N, LDA, LWORK, INFO REAL, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A C INTERFACE #include <sunperf.h> void sorgtr(char uplo, int n, float *a, int lda, float *tau, int *info); void sorgtr_64(char uplo, long n, float *a, long lda, float *tau, long *info);
Oracle Solaris Studio Performance Library sorgtr(3P) NAME sorgtr - generate a real orthogonal matrix Q which is defined as the product of n-1 elementary reflectors of order N, as returned by SSYTRD SYNOPSIS SUBROUTINE SORGTR(UPLO, N, A, LDA, TAU, WORK, LWORK, INFO) CHARACTER*1 UPLO INTEGER N, LDA, LWORK, INFO REAL A(LDA,*), TAU(*), WORK(*) SUBROUTINE SORGTR_64(UPLO, N, A, LDA, TAU, WORK, LWORK, INFO) CHARACTER*1 UPLO INTEGER*8 N, LDA, LWORK, INFO REAL A(LDA,*), TAU(*), WORK(*) F95 INTERFACE SUBROUTINE ORGTR(UPLO, N, A, LDA, TAU, WORK, LWORK, INFO) CHARACTER(LEN=1) :: UPLO INTEGER :: N, LDA, LWORK, INFO REAL, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A SUBROUTINE ORGTR_64(UPLO, N, A, LDA, TAU, WORK, LWORK, INFO) CHARACTER(LEN=1) :: UPLO INTEGER(8) :: N, LDA, LWORK, INFO REAL, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A C INTERFACE #include <sunperf.h> void sorgtr(char uplo, int n, float *a, int lda, float *tau, int *info); void sorgtr_64(char uplo, long n, float *a, long lda, float *tau, long *info); PURPOSE sorgtr generates a real orthogonal matrix Q which is defined as the product of n-1 elementary reflectors of order N, as returned by SSYTRD: 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 triangle of A contains elementary reflectors from SSYTRD; = 'L': Lower triangle of A contains elementary reflectors from SSYTRD. N (input) The order of the matrix Q. N >= 0. A (input/output) On entry, the vectors which define the elementary reflectors, as returned by SSYTRD. On exit, the N-by-N orthogonal matrix Q. LDA (input) The leading dimension of the array A. LDA >= max(1,N). TAU (input) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SSYTRD. WORK (workspace) On exit, if INFO = 0, WORK(1) returns the optimal LWORK. LWORK (input) The dimension of the array WORK. LWORK >= max(1,N-1). For optimum performance LWORK >= (N-1)*NB, where NB is the opti- mal 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 (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value 7 Nov 2015 sorgtr(3P)