CHBEV man page on IRIX

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CHBEV(3F)							     CHBEV(3F)

NAME
     CHBEV - compute all the eigenvalues and, optionally, eigenvectors of a
     complex Hermitian band matrix A

SYNOPSIS
     SUBROUTINE CHBEV( JOBZ, UPLO, N, KD, AB, LDAB, W, Z, LDZ, WORK, RWORK,
		       INFO )

	 CHARACTER     JOBZ, UPLO

	 INTEGER       INFO, KD, LDAB, LDZ, N

	 REAL	       RWORK( * ), W( * )

	 COMPLEX       AB( LDAB, * ), WORK( * ), Z( LDZ, * )

PURPOSE
     CHBEV computes all the eigenvalues and, optionally, eigenvectors of a
     complex Hermitian band matrix A.

ARGUMENTS
     JOBZ    (input) CHARACTER*1
	     = 'N':  Compute eigenvalues only;
	     = 'V':  Compute eigenvalues and eigenvectors.

     UPLO    (input) CHARACTER*1
	     = 'U':  Upper triangle of A is stored;
	     = 'L':  Lower triangle of A is stored.

     N	     (input) INTEGER
	     The order of the matrix A.	 N >= 0.

     KD	     (input) INTEGER
	     The number of superdiagonals of the matrix A if UPLO = 'U', or
	     the number of subdiagonals if UPLO = 'L'.	KD >= 0.

     AB	     (input/output) COMPLEX array, dimension (LDAB, N)
	     On entry, the upper or lower triangle of the Hermitian band
	     matrix A, stored in the first KD+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(kd+1+i-j,j) = A(i,j) for max(1,j-
	     kd)<=i<=j; if UPLO = 'L', AB(1+i-j,j)    = A(i,j) for
	     j<=i<=min(n,j+kd).

	     On exit, AB is overwritten by values generated during the
	     reduction to tridiagonal form.  If UPLO = 'U', the first
	     superdiagonal and the diagonal of the tridiagonal matrix T are
	     returned in rows KD and KD+1 of AB, and if UPLO = 'L', the
	     diagonal and first subdiagonal of T are returned in the first two
	     rows of AB.

									Page 1

CHBEV(3F)							     CHBEV(3F)

     LDAB    (input) INTEGER
	     The leading dimension of the array AB.  LDAB >= KD + 1.

     W	     (output) REAL array, dimension (N)
	     If INFO = 0, the eigenvalues in ascending order.

     Z	     (output) COMPLEX array, dimension (LDZ, N)
	     If JOBZ = 'V', then if INFO = 0, Z contains the orthonormal
	     eigenvectors of the matrix A, with the i-th column of Z holding
	     the eigenvector associated with W(i).  If JOBZ = 'N', then Z is
	     not referenced.

     LDZ     (input) INTEGER
	     The leading dimension of the array Z.  LDZ >= 1, and if JOBZ =
	     'V', LDZ >= max(1,N).

     WORK    (workspace) COMPLEX array, dimension (N)

     RWORK   (workspace) REAL array, dimension (max(1,3*N-2))

     INFO    (output) INTEGER
	     = 0:  successful exit.
	     < 0:  if INFO = -i, the i-th argument had an illegal value.
	     > 0:  if INFO = i, the algorithm failed to converge; i off-
	     diagonal elements of an intermediate tridiagonal form did not
	     converge to zero.

									Page 2

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