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

NAME

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

SYNOPSIS

Functions/Subroutines


subroutine CHBGST (vect, uplo, n, ka, kb, ab, ldab, bb, ldbb, x, ldx, work, rwork, info)
CHBGST

Function/Subroutine Documentation

subroutine CHBGST (character vect, character uplo, integer n, integer ka, integer kb, complex, dimension( ldab, * ) ab, integer ldab, complex, dimension( ldbb, * ) bb, integer ldbb, complex, dimension( ldx, * ) x, integer ldx, complex, dimension( * ) work, real, dimension( * ) rwork, integer info)

CHBGST

Purpose:

!>
!> CHBGST reduces a complex Hermitian-definite banded generalized
!> eigenproblem  A*x = lambda*B*x  to standard form  C*y = lambda*y,
!> such that C has the same bandwidth as A.
!>
!> B must have been previously factorized as S**H*S by CPBSTF, using a
!> split Cholesky factorization. A is overwritten by C = X**H*A*X, where
!> X = S**(-1)*Q and Q is a unitary matrix chosen to preserve the
!> bandwidth of A.
!> 

Parameters

VECT

!>          VECT is CHARACTER*1
!>          = 'N':  do not form the transformation matrix X;
!>          = 'V':  form X.
!> 

UPLO

!>          UPLO is CHARACTER*1
!>          = 'U':  Upper triangle of A is stored;
!>          = 'L':  Lower triangle of A is stored.
!> 

N

!>          N is INTEGER
!>          The order of the matrices A and B.  N >= 0.
!> 

KA

!>          KA is INTEGER
!>          The number of superdiagonals of the matrix A if UPLO = 'U',
!>          or the number of subdiagonals if UPLO = 'L'.  KA >= 0.
!> 

KB

!>          KB is INTEGER
!>          The number of superdiagonals of the matrix B if UPLO = 'U',
!>          or the number of subdiagonals if UPLO = 'L'.  KA >= KB >= 0.
!> 

AB

!>          AB is COMPLEX array, dimension (LDAB,N)
!>          On entry, the upper or lower triangle of the Hermitian band
!>          matrix A, stored in the first ka+1 rows of the array.  The
!>          j-th column of A is stored in the j-th column of the array AB
!>          as follows:
!>          if UPLO = 'U', AB(ka+1+i-j,j) = A(i,j) for max(1,j-ka)<=i<=j;
!>          if UPLO = 'L', AB(1+i-j,j)    = A(i,j) for j<=i<=min(n,j+ka).
!>
!>          On exit, the transformed matrix X**H*A*X, stored in the same
!>          format as A.
!> 

LDAB

!>          LDAB is INTEGER
!>          The leading dimension of the array AB.  LDAB >= KA+1.
!> 

BB

!>          BB is COMPLEX array, dimension (LDBB,N)
!>          The banded factor S from the split Cholesky factorization of
!>          B, as returned by CPBSTF, stored in the first kb+1 rows of
!>          the array.
!> 

LDBB

!>          LDBB is INTEGER
!>          The leading dimension of the array BB.  LDBB >= KB+1.
!> 

X

!>          X is COMPLEX array, dimension (LDX,N)
!>          If VECT = 'V', the n-by-n matrix X.
!>          If VECT = 'N', the array X is not referenced.
!> 

LDX

!>          LDX is INTEGER
!>          The leading dimension of the array X.
!>          LDX >= max(1,N) if VECT = 'V'; LDX >= 1 otherwise.
!> 

WORK

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

RWORK

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

INFO

!>          INFO is INTEGER
!>          = 0:  successful exit
!>          < 0:  if INFO = -i, the i-th argument had an illegal value.
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 163 of file chbgst.f.

Author

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Version 3.12.0 LAPACK