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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/dget53.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/dget53.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/dget53.f

SYNOPSIS

Functions/Subroutines


subroutine DGET53 (a, lda, b, ldb, scale, wr, wi, result, info)
DGET53

Function/Subroutine Documentation

subroutine DGET53 (double precision, dimension( lda, * ) a, integer lda, double precision, dimension( ldb, * ) b, integer ldb, double precision scale, double precision wr, double precision wi, double precision result, integer info)

DGET53

Purpose:

!>
!> DGET53  checks the generalized eigenvalues computed by DLAG2.
!>
!> The basic test for an eigenvalue is:
!>
!>                              | det( s A - w B ) |
!>     RESULT =  ---------------------------------------------------
!>               ulp max( s norm(A), |w| norm(B) )*norm( s A - w B )
!>
!> Two  are performed:
!>
!> (1)  ulp*max( s*norm(A), |w|*norm(B) )  must be at least
!>      safe_minimum.  This insures that the test performed is
!>      not essentially  det(0*A + 0*B)=0.
!>
!> (2)  s*norm(A) + |w|*norm(B) must be less than 1/safe_minimum.
!>      This insures that  s*A - w*B  will not overflow.
!>
!> If these tests are not passed, then  s  and  w  are scaled and
!> tested anyway, if this is possible.
!> 

Parameters

A

!>          A is DOUBLE PRECISION array, dimension (LDA, 2)
!>          The 2x2 matrix A.
!> 

LDA

!>          LDA is INTEGER
!>          The leading dimension of A.  It must be at least 2.
!> 

B

!>          B is DOUBLE PRECISION array, dimension (LDB, N)
!>          The 2x2 upper-triangular matrix B.
!> 

LDB

!>          LDB is INTEGER
!>          The leading dimension of B.  It must be at least 2.
!> 

SCALE

!>          SCALE is DOUBLE PRECISION
!>          The  s in the formula  s A - w B .  It is
!>          assumed to be non-negative.
!> 

WR

!>          WR is DOUBLE PRECISION
!>          The real part of the eigenvalue  w  in the formula
!>          s A - w B .
!> 

WI

!>          WI is DOUBLE PRECISION
!>          The imaginary part of the eigenvalue  w  in the formula
!>          s A - w B .
!> 

RESULT

!>          RESULT is DOUBLE PRECISION
!>          If INFO is 2 or less, the value computed by the test
!>             described above.
!>          If INFO=3, this will just be 1/ulp.
!> 

INFO

!>          INFO is INTEGER
!>          =0:  The input data pass the .
!>          =1:  s*norm(A) + |w|*norm(B) > 1/safe_minimum.
!>          =2:  ulp*max( s*norm(A), |w|*norm(B) ) < safe_minimum
!>          =3:  same as INFO=2, but  s  and  w  could not be scaled so
!>               as to compute the test.
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 125 of file dget53.f.

Author

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Version 3.12.0 LAPACK