Scroll to navigation

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/sget53.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/sget53.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/sget53.f

SYNOPSIS

Functions/Subroutines


subroutine SGET53 (a, lda, b, ldb, scale, wr, wi, result, info)
SGET53

Function/Subroutine Documentation

subroutine SGET53 (real, dimension( lda, * ) a, integer lda, real, dimension( ldb, * ) b, integer ldb, real scale, real wr, real wi, real result, integer info)

SGET53

Purpose:

!>
!> SGET53  checks the generalized eigenvalues computed by SLAG2.
!>
!> 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 REAL 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 REAL 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 REAL
!>          The  s in the formula  s A - w B .  It is
!>          assumed to be non-negative.
!> 

WR

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

WI

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

RESULT

!>          RESULT is REAL
!>          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 sget53.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Version 3.12.0 LAPACK