LAPACK  3.5.0
LAPACK: Linear Algebra PACKage
 All Classes Files Functions Variables Typedefs Macros
zgqrts.f File Reference

Go to the source code of this file.

Functions/Subroutines

subroutine zgqrts (N, M, P, A, AF, Q, R, LDA, TAUA, B, BF, Z, T, BWK, LDB, TAUB, WORK, LWORK, RWORK, RESULT)
 ZGQRTS

Function/Subroutine Documentation

subroutine zgqrts ( integer  N,
integer  M,
integer  P,
complex*16, dimension( lda, * )  A,
complex*16, dimension( lda, * )  AF,
complex*16, dimension( lda, * )  Q,
complex*16, dimension( lda, * )  R,
integer  LDA,
complex*16, dimension( * )  TAUA,
complex*16, dimension( ldb, * )  B,
complex*16, dimension( ldb, * )  BF,
complex*16, dimension( ldb, * )  Z,
complex*16, dimension( ldb, * )  T,
complex*16, dimension( ldb, * )  BWK,
integer  LDB,
complex*16, dimension( * )  TAUB,
complex*16, dimension( lwork )  WORK,
integer  LWORK,
double precision, dimension( * )  RWORK,
double precision, dimension( 4 )  RESULT 
)

ZGQRTS

Purpose:
 ZGQRTS tests ZGGQRF, which computes the GQR factorization of an
 N-by-M matrix A and a N-by-P matrix B: A = Q*R and B = Q*T*Z.
Parameters
[in]N
          N is INTEGER
          The number of rows of the matrices A and B.  N >= 0.
[in]M
          M is INTEGER
          The number of columns of the matrix A.  M >= 0.
[in]P
          P is INTEGER
          The number of columns of the matrix B.  P >= 0.
[in]A
          A is COMPLEX*16 array, dimension (LDA,M)
          The N-by-M matrix A.
[out]AF
          AF is COMPLEX*16 array, dimension (LDA,N)
          Details of the GQR factorization of A and B, as returned
          by ZGGQRF, see CGGQRF for further details.
[out]Q
          Q is COMPLEX*16 array, dimension (LDA,N)
          The M-by-M unitary matrix Q.
[out]R
          R is COMPLEX*16 array, dimension (LDA,MAX(M,N))
[in]LDA
          LDA is INTEGER
          The leading dimension of the arrays A, AF, R and Q.
          LDA >= max(M,N).
[out]TAUA
          TAUA is COMPLEX*16 array, dimension (min(M,N))
          The scalar factors of the elementary reflectors, as returned
          by ZGGQRF.
[in]B
          B is COMPLEX*16 array, dimension (LDB,P)
          On entry, the N-by-P matrix A.
[out]BF
          BF is COMPLEX*16 array, dimension (LDB,N)
          Details of the GQR factorization of A and B, as returned
          by ZGGQRF, see CGGQRF for further details.
[out]Z
          Z is COMPLEX*16 array, dimension (LDB,P)
          The P-by-P unitary matrix Z.
[out]T
          T is COMPLEX*16 array, dimension (LDB,max(P,N))
[out]BWK
          BWK is COMPLEX*16 array, dimension (LDB,N)
[in]LDB
          LDB is INTEGER
          The leading dimension of the arrays B, BF, Z and T.
          LDB >= max(P,N).
[out]TAUB
          TAUB is COMPLEX*16 array, dimension (min(P,N))
          The scalar factors of the elementary reflectors, as returned
          by DGGRQF.
[out]WORK
          WORK is COMPLEX*16 array, dimension (LWORK)
[in]LWORK
          LWORK is INTEGER
          The dimension of the array WORK, LWORK >= max(N,M,P)**2.
[out]RWORK
          RWORK is DOUBLE PRECISION array, dimension (max(N,M,P))
[out]RESULT
          RESULT is DOUBLE PRECISION array, dimension (4)
          The test ratios:
            RESULT(1) = norm( R - Q'*A ) / ( MAX(M,N)*norm(A)*ULP)
            RESULT(2) = norm( T*Z - Q'*B ) / (MAX(P,N)*norm(B)*ULP)
            RESULT(3) = norm( I - Q'*Q ) / ( M*ULP )
            RESULT(4) = norm( I - Z'*Z ) / ( P*ULP )
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date
November 2011

Definition at line 176 of file zgqrts.f.

Here is the call graph for this function:

Here is the caller graph for this function: