ctzrqf - routine is deprecated and has been replaced by routine CTZRZF
SUBROUTINE CTZRQF(M, N, A, LDA, TAU, INFO) COMPLEX A(LDA,*), TAU(*) INTEGER M, N, LDA, INFO SUBROUTINE CTZRQF_64(M, N, A, LDA, TAU, INFO) COMPLEX A(LDA,*), TAU(*) INTEGER*8 M, N, LDA, INFO F95 INTERFACE SUBROUTINE TZRQF(M, N, A, LDA, TAU, INFO) COMPLEX, DIMENSION(:) :: TAU COMPLEX, DIMENSION(:,:) :: A INTEGER :: M, N, LDA, INFO SUBROUTINE TZRQF_64(M, N, A, LDA, TAU, INFO) COMPLEX, DIMENSION(:) :: TAU COMPLEX, DIMENSION(:,:) :: A INTEGER(8) :: M, N, LDA, INFO C INTERFACE #include <sunperf.h> void ctzrqf(int m, int n, complex *a, int lda, complex *tau, int *info); void ctzrqf_64(long m, long n, complex *a, long lda, complex *tau, long *info);
Oracle Solaris Studio Performance Library ctzrqf(3P) NAME ctzrqf - routine is deprecated and has been replaced by routine CTZRZF SYNOPSIS SUBROUTINE CTZRQF(M, N, A, LDA, TAU, INFO) COMPLEX A(LDA,*), TAU(*) INTEGER M, N, LDA, INFO SUBROUTINE CTZRQF_64(M, N, A, LDA, TAU, INFO) COMPLEX A(LDA,*), TAU(*) INTEGER*8 M, N, LDA, INFO F95 INTERFACE SUBROUTINE TZRQF(M, N, A, LDA, TAU, INFO) COMPLEX, DIMENSION(:) :: TAU COMPLEX, DIMENSION(:,:) :: A INTEGER :: M, N, LDA, INFO SUBROUTINE TZRQF_64(M, N, A, LDA, TAU, INFO) COMPLEX, DIMENSION(:) :: TAU COMPLEX, DIMENSION(:,:) :: A INTEGER(8) :: M, N, LDA, INFO C INTERFACE #include <sunperf.h> void ctzrqf(int m, int n, complex *a, int lda, complex *tau, int *info); void ctzrqf_64(long m, long n, complex *a, long lda, complex *tau, long *info); PURPOSE ctzrqf routine is deprecated and has been replaced by routine CTZRZF. CTZRQF reduces the M-by-N ( M<=N ) complex upper trapezoidal matrix A to upper triangular form by means of unitary transformations. The upper trapezoidal matrix A is factored as A = ( R 0 ) * Z, where Z is an N-by-N unitary matrix and R is an M-by-M upper triangular matrix. ARGUMENTS M (input) The number of rows of the matrix A. M >= 0. N (input) The number of columns of the matrix A. N >= M. A (input/output) On entry, the leading M-by-N upper trapezoidal part of the array A must contain the matrix to be factorized. On exit, the leading M-by-M upper triangular part of A contains the upper triangular matrix R, and elements M+1 to N of the first M rows of A, with the array TAU, represent the unitary matrix Z as a product of M elementary reflectors. LDA (input) The leading dimension of the array A. LDA >= max(1,M). TAU (output) COMPLEX array, dimension (M) The scalar factors of the elementary reflectors. INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value FURTHER DETAILS The factorization is obtained by Householder's method. The kth trans- formation matrix, Z( k ), whose conjugate transpose is used to intro- duce zeros into the (m - k + 1)th row of A, is given in the form Z( k ) = ( I 0 ), ( 0 T( k ) ) where T( k ) = I - tau*u( k )*u( k )**H, u( k ) = ( 1 ), ( 0 ) ( z( k ) ) tau is a scalar and z( k ) is an ( n - m ) element vector. tau and z( k ) are chosen to annihilate the elements of the kth row of X. The scalar tau is returned in the kth element of TAU and the vector u( k ) in the kth row of A, such that the elements of z( k ) are in a( k, m + 1 ), ..., a( k, n ). The elements of R are returned in the upper triangular part of A. Z is given by Z = Z( 1 ) * Z( 2 ) * ... * Z( m ). 7 Nov 2015 ctzrqf(3P)