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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/csteqr.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/csteqr.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/csteqr.f

SYNOPSIS

Functions/Subroutines


subroutine CSTEQR (compz, n, d, e, z, ldz, work, info)
CSTEQR

Function/Subroutine Documentation

subroutine CSTEQR (character compz, integer n, real, dimension( * ) d, real, dimension( * ) e, complex, dimension( ldz, * ) z, integer ldz, real, dimension( * ) work, integer info)

CSTEQR

Purpose:

!>
!> CSTEQR computes all eigenvalues and, optionally, eigenvectors of a
!> symmetric tridiagonal matrix using the implicit QL or QR method.
!> The eigenvectors of a full or band complex Hermitian matrix can also
!> be found if CHETRD or CHPTRD or CHBTRD has been used to reduce this
!> matrix to tridiagonal form.
!> 

Parameters

COMPZ

!>          COMPZ is CHARACTER*1
!>          = 'N':  Compute eigenvalues only.
!>          = 'V':  Compute eigenvalues and eigenvectors of the original
!>                  Hermitian matrix.  On entry, Z must contain the
!>                  unitary matrix used to reduce the original matrix
!>                  to tridiagonal form.
!>          = 'I':  Compute eigenvalues and eigenvectors of the
!>                  tridiagonal matrix.  Z is initialized to the identity
!>                  matrix.
!> 

N

!>          N is INTEGER
!>          The order of the matrix.  N >= 0.
!> 

D

!>          D is REAL array, dimension (N)
!>          On entry, the diagonal elements of the tridiagonal matrix.
!>          On exit, if INFO = 0, the eigenvalues in ascending order.
!> 

E

!>          E is REAL array, dimension (N-1)
!>          On entry, the (n-1) subdiagonal elements of the tridiagonal
!>          matrix.
!>          On exit, E has been destroyed.
!> 

Z

!>          Z is COMPLEX array, dimension (LDZ, N)
!>          On entry, if  COMPZ = 'V', then Z contains the unitary
!>          matrix used in the reduction to tridiagonal form.
!>          On exit, if INFO = 0, then if COMPZ = 'V', Z contains the
!>          orthonormal eigenvectors of the original Hermitian matrix,
!>          and if COMPZ = 'I', Z contains the orthonormal eigenvectors
!>          of the symmetric tridiagonal matrix.
!>          If COMPZ = 'N', then Z is not referenced.
!> 

LDZ

!>          LDZ is INTEGER
!>          The leading dimension of the array Z.  LDZ >= 1, and if
!>          eigenvectors are desired, then  LDZ >= max(1,N).
!> 

WORK

!>          WORK is REAL array, dimension (max(1,2*N-2))
!>          If COMPZ = 'N', then WORK is not referenced.
!> 

INFO

!>          INFO is INTEGER
!>          = 0:  successful exit
!>          < 0:  if INFO = -i, the i-th argument had an illegal value
!>          > 0:  the algorithm has failed to find all the eigenvalues in
!>                a total of 30*N iterations; if INFO = i, then i
!>                elements of E have not converged to zero; on exit, D
!>                and E contain the elements of a symmetric tridiagonal
!>                matrix which is unitarily similar to the original
!>                matrix.
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 131 of file csteqr.f.

Author

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Version 3.12.0 LAPACK