TESTING/EIG/zget51.f(3)    Library Functions Manual    TESTING/EIG/zget51.f(3)

NAME
       TESTING/EIG/zget51.f

SYNOPSIS
   Functions/Subroutines
       subroutine zget51 (itype, n, a, lda, b, ldb, u, ldu, v, ldv, work,
           rwork, result)
           ZGET51

Function/Subroutine Documentation
   subroutine zget51 (integer itype, integer n, complex*16, dimension( lda, *
       ) a, integer lda, complex*16, dimension( ldb, * ) b, integer ldb,
       complex*16, dimension( ldu, * ) u, integer ldu, complex*16, dimension(
       ldv, * ) v, integer ldv, complex*16, dimension( * ) work, double
       precision, dimension( * ) rwork, double precision result)
       ZGET51

       Purpose:


                 ZGET51  generally checks a decomposition of the form

                         A = U B V**H

                 where **H means conjugate transpose and U and V are unitary.

                 Specifically, if ITYPE=1

                         RESULT = | A - U B V**H | / ( |A| n ulp )

                 If ITYPE=2, then:

                         RESULT = | A - B | / ( |A| n ulp )

                 If ITYPE=3, then:

                         RESULT = | I - U U**H | / ( n ulp )

       Parameters
           ITYPE

                     ITYPE is INTEGER
                     Specifies the type of tests to be performed.
                     =1: RESULT = | A - U B V**H | / ( |A| n ulp )
                     =2: RESULT = | A - B | / ( |A| n ulp )
                     =3: RESULT = | I - U U**H | / ( n ulp )

           N

                     N is INTEGER
                     The size of the matrix.  If it is zero, ZGET51 does nothing.
                     It must be at least zero.

           A

                     A is COMPLEX*16 array, dimension (LDA, N)
                     The original (unfactored) matrix.

           LDA

                     LDA is INTEGER
                     The leading dimension of A.  It must be at least 1
                     and at least N.

           B

                     B is COMPLEX*16 array, dimension (LDB, N)
                     The factored matrix.

           LDB

                     LDB is INTEGER
                     The leading dimension of B.  It must be at least 1
                     and at least N.

           U

                     U is COMPLEX*16 array, dimension (LDU, N)
                     The unitary matrix on the left-hand side in the
                     decomposition.
                     Not referenced if ITYPE=2

           LDU

                     LDU is INTEGER
                     The leading dimension of U.  LDU must be at least N and
                     at least 1.

           V

                     V is COMPLEX*16 array, dimension (LDV, N)
                     The unitary matrix on the left-hand side in the
                     decomposition.
                     Not referenced if ITYPE=2

           LDV

                     LDV is INTEGER
                     The leading dimension of V.  LDV must be at least N and
                     at least 1.

           WORK

                     WORK is COMPLEX*16 array, dimension (2*N**2)

           RWORK

                     RWORK is DOUBLE PRECISION array, dimension (N)

           RESULT

                     RESULT is DOUBLE PRECISION
                     The values computed by the test specified by ITYPE.  The
                     value is currently limited to 1/ulp, to avoid overflow.
                     Errors are flagged by RESULT=10/ulp.

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 153 of file zget51.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0         TESTING/EIG/zget51.f(3)