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

NAME

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

SYNOPSIS

Functions/Subroutines


subroutine SSTECH (n, a, b, eig, tol, work, info)
SSTECH

Function/Subroutine Documentation

subroutine SSTECH (integer n, real, dimension( * ) a, real, dimension( * ) b, real, dimension( * ) eig, real tol, real, dimension( * ) work, integer info)

SSTECH

Purpose:

!>
!>    Let T be the tridiagonal matrix with diagonal entries A(1) ,...,
!>    A(N) and offdiagonal entries B(1) ,..., B(N-1)).  SSTECH checks to
!>    see if EIG(1) ,..., EIG(N) are indeed accurate eigenvalues of T.
!>    It does this by expanding each EIG(I) into an interval
!>    [SVD(I) - EPS, SVD(I) + EPS], merging overlapping intervals if
!>    any, and using Sturm sequences to count and verify whether each
!>    resulting interval has the correct number of eigenvalues (using
!>    SSTECT).  Here EPS = TOL*MACHEPS*MAXEIG, where MACHEPS is the
!>    machine precision and MAXEIG is the absolute value of the largest
!>    eigenvalue. If each interval contains the correct number of
!>    eigenvalues, INFO = 0 is returned, otherwise INFO is the index of
!>    the first eigenvalue in the first bad interval.
!> 

Parameters

N

!>          N is INTEGER
!>          The dimension of the tridiagonal matrix T.
!> 

A

!>          A is REAL array, dimension (N)
!>          The diagonal entries of the tridiagonal matrix T.
!> 

B

!>          B is REAL array, dimension (N-1)
!>          The offdiagonal entries of the tridiagonal matrix T.
!> 

EIG

!>          EIG is REAL array, dimension (N)
!>          The purported eigenvalues to be checked.
!> 

TOL

!>          TOL is REAL
!>          Error tolerance for checking, a multiple of the
!>          machine precision.
!> 

WORK

!>          WORK is REAL array, dimension (N)
!> 

INFO

!>          INFO is INTEGER
!>          0  if the eigenvalues are all correct (to within
!>             1 +- TOL*MACHEPS*MAXEIG)
!>          >0 if the interval containing the INFO-th eigenvalue
!>             contains the incorrect number of eigenvalues.
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 100 of file sstech.f.

Author

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Version 3.12.0 LAPACK