dsbev (l)  Linux Manuals
dsbev: computes all the eigenvalues and, optionally, eigenvectors of a real symmetric band matrix A
Command to display dsbev
manual in Linux: $ man l dsbev
NAME
DSBEV  computes all the eigenvalues and, optionally, eigenvectors of a real symmetric band matrix A
SYNOPSIS
 SUBROUTINE DSBEV(

JOBZ, UPLO, N, KD, AB, LDAB, W, Z, LDZ, WORK,
INFO )

CHARACTER
JOBZ, UPLO

INTEGER
INFO, KD, LDAB, LDZ, N

DOUBLE
PRECISION AB( LDAB, * ), W( * ), WORK( * ), Z( LDZ, * )
PURPOSE
DSBEV computes all the eigenvalues and, optionally, eigenvectors of
a real symmetric band matrix A.
ARGUMENTS
 JOBZ (input) CHARACTER*1

= aqNaq: Compute eigenvalues only;
= aqVaq: Compute eigenvalues and eigenvectors.
 UPLO (input) CHARACTER*1

= aqUaq: Upper triangle of A is stored;
= aqLaq: 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 = aqUaq,
or the number of subdiagonals if UPLO = aqLaq. KD >= 0.
 AB (input/output) DOUBLE PRECISION array, dimension (LDAB, N)

On entry, the upper or lower triangle of the symmetric band
matrix A, stored in the first KD+1 rows of the array. The
jth column of A is stored in the jth column of the array AB
as follows:
if UPLO = aqUaq, AB(kd+1+ij,j) = A(i,j) for max(1,jkd)<=i<=j;
if UPLO = aqLaq, AB(1+ij,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 = aqUaq, the first
superdiagonal and the diagonal of the tridiagonal matrix T
are returned in rows KD and KD+1 of AB, and if UPLO = aqLaq,
the diagonal and first subdiagonal of T are returned in the
first two rows of AB.
 LDAB (input) INTEGER

The leading dimension of the array AB. LDAB >= KD + 1.
 W (output) DOUBLE PRECISION array, dimension (N)

If INFO = 0, the eigenvalues in ascending order.
 Z (output) DOUBLE PRECISION array, dimension (LDZ, N)

If JOBZ = aqVaq, then if INFO = 0, Z contains the orthonormal
eigenvectors of the matrix A, with the ith column of Z
holding the eigenvector associated with W(i).
If JOBZ = aqNaq, then Z is not referenced.
 LDZ (input) INTEGER

The leading dimension of the array Z. LDZ >= 1, and if
JOBZ = aqVaq, LDZ >= max(1,N).
 WORK (workspace) DOUBLE PRECISION array, dimension (max(1,3*N2))

 INFO (output) INTEGER

= 0: successful exit
< 0: if INFO = i, the ith argument had an illegal value
> 0: if INFO = i, the algorithm failed to converge; i
offdiagonal elements of an intermediate tridiagonal
form did not converge to zero.
Pages related to dsbev
 dsbev (3)
 dsbevd (l)  computes all the eigenvalues and, optionally, eigenvectors of a real symmetric band matrix A
 dsbevx (l)  computes selected eigenvalues and, optionally, eigenvectors of a real symmetric band matrix A
 dsbgst (l)  reduces a real symmetricdefinite banded generalized eigenproblem A*x = lambda*B*x to standard form C*y = lambda*y,
 dsbgv (l)  computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetricdefinite banded eigenproblem, of the form A*x=(lambda)*B*x
 dsbgvd (l)  computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetricdefinite banded eigenproblem, of the form A*x=(lambda)*B*x
 dsbgvx (l)  computes selected eigenvalues, and optionally, eigenvectors of a real generalized symmetricdefinite banded eigenproblem, of the form A*x=(lambda)*B*x
 dsbmv (l)  performs the matrixvector operation y := alpha*A*x + beta*y,
 dsbtrd (l)  reduces a real symmetric band matrix A to symmetric tridiagonal form T by an orthogonal similarity transformation