zupgtr - generate a complex unitary matrix Q which is defined as the product of n-1 elementary reflectors H(i) of order n, as returned by CHPTRD using packed storage
SUBROUTINE ZUPGTR(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX AP(*), TAU(*), Q(LDQ,*), WORK(*) INTEGER N, LDQ, INFO SUBROUTINE ZUPGTR_64(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX AP(*), TAU(*), Q(LDQ,*), WORK(*) INTEGER*8 N, LDQ, INFO F95 INTERFACE SUBROUTINE UPGTR(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: AP, TAU, WORK COMPLEX(8), DIMENSION(:,:) :: Q INTEGER :: N, LDQ, INFO SUBROUTINE UPGTR_64(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: AP, TAU, WORK COMPLEX(8), DIMENSION(:,:) :: Q INTEGER(8) :: N, LDQ, INFO C INTERFACE #include <sunperf.h> void zupgtr(char uplo, int n, doublecomplex *ap, doublecomplex *tau, doublecomplex *q, int ldq, int *info); void zupgtr_64(char uplo, long n, doublecomplex *ap, doublecomplex *tau, doublecomplex *q, long ldq, long *info);
Oracle Solaris Studio Performance Library zupgtr(3P) NAME zupgtr - generate a complex unitary matrix Q which is defined as the product of n-1 elementary reflectors H(i) of order n, as returned by CHPTRD using packed storage SYNOPSIS SUBROUTINE ZUPGTR(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX AP(*), TAU(*), Q(LDQ,*), WORK(*) INTEGER N, LDQ, INFO SUBROUTINE ZUPGTR_64(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX AP(*), TAU(*), Q(LDQ,*), WORK(*) INTEGER*8 N, LDQ, INFO F95 INTERFACE SUBROUTINE UPGTR(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: AP, TAU, WORK COMPLEX(8), DIMENSION(:,:) :: Q INTEGER :: N, LDQ, INFO SUBROUTINE UPGTR_64(UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: AP, TAU, WORK COMPLEX(8), DIMENSION(:,:) :: Q INTEGER(8) :: N, LDQ, INFO C INTERFACE #include <sunperf.h> void zupgtr(char uplo, int n, doublecomplex *ap, doublecomplex *tau, doublecomplex *q, int ldq, int *info); void zupgtr_64(char uplo, long n, doublecomplex *ap, doublecomplex *tau, doublecomplex *q, long ldq, long *info); PURPOSE zupgtr generates a complex unitary matrix Q which is defined as the product of n-1 elementary reflectors H(i) of order n, as returned by CHPTRD 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 CHPTRD; = 'L': Lower triangular packed storage used in previous call to CHPTRD. N (input) The order of the matrix Q. N >= 0. AP (input) The vectors which define the elementary reflectors, as returned by CHPTRD. TAU (input) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CHPTRD. Q (output) The N-by-N unitary 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 zupgtr(3P)