zget51.f - Man Page

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.

Referenced By

The man page zget51(3) is an alias of zget51.f(3).

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK