cget54.f - Man Page

TESTING/EIG/cget54.f

Synopsis

Functions/Subroutines

subroutine cget54 (n, a, lda, b, ldb, s, lds, t, ldt, u, ldu, v, ldv, work, result)
CGET54

Function/Subroutine Documentation

subroutine cget54 (integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldb, * ) b, integer ldb, complex, dimension( lds, * ) s, integer lds, complex, dimension( ldt, * ) t, integer ldt, complex, dimension( ldu, * ) u, integer ldu, complex, dimension( ldv, * ) v, integer ldv, complex, dimension( * ) work, real result)

CGET54

Purpose:

 CGET54 checks a generalized decomposition of the form

          A = U*S*V'  and B = U*T* V'

 where ' means conjugate transpose and U and V are unitary.

 Specifically,

   RESULT = ||( A - U*S*V', B - U*T*V' )|| / (||( A, B )||*n*ulp )
Parameters

N

          N is INTEGER
          The size of the matrix.  If it is zero, SGET54 does nothing.
          It must be at least zero.

A

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

LDA

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

B

          B is COMPLEX array, dimension (LDB, N)
          The original (unfactored) matrix B.

LDB

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

S

          S is COMPLEX array, dimension (LDS, N)
          The factored matrix S.

LDS

          LDS is INTEGER
          The leading dimension of S.  It must be at least 1
          and at least N.

T

          T is COMPLEX array, dimension (LDT, N)
          The factored matrix T.

LDT

          LDT is INTEGER
          The leading dimension of T.  It must be at least 1
          and at least N.

U

          U is COMPLEX array, dimension (LDU, N)
          The orthogonal matrix on the left-hand side in the
          decomposition.

LDU

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

V

          V is COMPLEX array, dimension (LDV, N)
          The orthogonal matrix on the left-hand side in the
          decomposition.

LDV

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

WORK

          WORK is COMPLEX array, dimension (3*N**2)

RESULT

          RESULT is REAL
          The value RESULT, It 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 154 of file cget54.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

The man page cget54(3) is an alias of cget54.f(3).

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