Man page - stevd(3)

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stevd

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine dstevd (character jobz, integer n, double precision, dimension(* ) d, double precision, dimension( * ) e, double precision, dimension(ldz, * ) z, integer ldz, double precision, dimension( * ) work, integerlwork, integer, dimension( * ) iwork, integer liwork, integer info)
subroutine sstevd (character jobz, integer n, real, dimension( * ) d, real,dimension( * ) e, real, dimension( ldz, * ) z, integer ldz, real,dimension( * ) work, integer lwork, integer, dimension( * ) iwork,integer liwork, integer info)
Author

NAME

stevd - stevd: eig, divide and conquer

SYNOPSIS

Functions

subroutine dstevd (jobz, n, d, e, z, ldz, work, lwork, iwork, liwork, info)
DSTEVD computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices
subroutine sstevd (jobz, n, d, e, z, ldz, work, lwork, iwork, liwork, info)
SSTEVD computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices

Detailed Description

Function Documentation

subroutine dstevd (character jobz, integer n, double precision, dimension(* ) d, double precision, dimension( * ) e, double precision, dimension(ldz, * ) z, integer ldz, double precision, dimension( * ) work, integerlwork, integer, dimension( * ) iwork, integer liwork, integer info)

DSTEVD computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices

Purpose:

DSTEVD computes all eigenvalues and, optionally, eigenvectors of a
real symmetric tridiagonal matrix. If eigenvectors are desired, it
uses a divide and conquer algorithm.

Parameters

JOBZ

JOBZ is CHARACTER*1
= ā€™Nā€™: Compute eigenvalues only;
= ā€™Vā€™: Compute eigenvalues and eigenvectors.

N

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

D

D is DOUBLE PRECISION array, dimension (N)
On entry, the n diagonal elements of the tridiagonal matrix
A.
On exit, if INFO = 0, the eigenvalues in ascending order.

E

E is DOUBLE PRECISION array, dimension (N-1)
On entry, the (n-1) subdiagonal elements of the tridiagonal
matrix A, stored in elements 1 to N-1 of E.
On exit, the contents of E are destroyed.

Z

Z is DOUBLE PRECISION array, dimension (LDZ, N)
If JOBZ = ā€™Vā€™, 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 D(i).
If JOBZ = ā€™Nā€™, then Z is not referenced.

LDZ

LDZ is INTEGER
The leading dimension of the array Z. LDZ >= 1, and if
JOBZ = ā€™Vā€™, LDZ >= max(1,N).

WORK

WORK is DOUBLE PRECISION array,
dimension (LWORK)
On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

LWORK

LWORK is INTEGER
The dimension of the array WORK.
If JOBZ = ā€™Nā€™ or N <= 1 then LWORK must be at least 1.
If JOBZ = ā€™Vā€™ and N > 1 then LWORK must be at least
( 1 + 4*N + N**2 ).

If LWORK = -1, then a workspace query is assumed; the routine
only calculates the optimal sizes of the WORK and IWORK
arrays, returns these values as the first entries of the WORK
and IWORK arrays, and no error message related to LWORK or
LIWORK is issued by XERBLA.

IWORK

IWORK is INTEGER array, dimension (MAX(1,LIWORK))
On exit, if INFO = 0, IWORK(1) returns the optimal LIWORK.

LIWORK

LIWORK is INTEGER
The dimension of the array IWORK.
If JOBZ = ā€™Nā€™ or N <= 1 then LIWORK must be at least 1.
If JOBZ = ā€™Vā€™ and N > 1 then LIWORK must be at least 3+5*N.

If LIWORK = -1, then a workspace query is assumed; the
routine only calculates the optimal sizes of the WORK and
IWORK arrays, returns these values as the first entries of
the WORK and IWORK arrays, and no error message related to
LWORK or LIWORK is issued by XERBLA.

INFO

INFO is 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 E did not converge to zero.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine sstevd (character jobz, integer n, real, dimension( * ) d, real,dimension( * ) e, real, dimension( ldz, * ) z, integer ldz, real,dimension( * ) work, integer lwork, integer, dimension( * ) iwork,integer liwork, integer info)

SSTEVD computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices

Purpose:

SSTEVD computes all eigenvalues and, optionally, eigenvectors of a
real symmetric tridiagonal matrix. If eigenvectors are desired, it
uses a divide and conquer algorithm.

Parameters

JOBZ

JOBZ is CHARACTER*1
= ā€™Nā€™: Compute eigenvalues only;
= ā€™Vā€™: Compute eigenvalues and eigenvectors.

N

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

D

D is REAL array, dimension (N)
On entry, the n diagonal elements of the tridiagonal matrix
A.
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 A, stored in elements 1 to N-1 of E.
On exit, the contents of E are destroyed.

Z

Z is REAL array, dimension (LDZ, N)
If JOBZ = ā€™Vā€™, 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 D(i).
If JOBZ = ā€™Nā€™, then Z is not referenced.

LDZ

LDZ is INTEGER
The leading dimension of the array Z. LDZ >= 1, and if
JOBZ = ā€™Vā€™, LDZ >= max(1,N).

WORK

WORK is REAL array,
dimension (LWORK)
On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

LWORK

LWORK is INTEGER
The dimension of the array WORK.
If JOBZ = ā€™Nā€™ or N <= 1 then LWORK must be at least 1.
If JOBZ = ā€™Vā€™ and N > 1 then LWORK must be at least
( 1 + 4*N + N**2 ).

If LWORK = -1, then a workspace query is assumed; the routine
only calculates the optimal sizes of the WORK and IWORK
arrays, returns these values as the first entries of the WORK
and IWORK arrays, and no error message related to LWORK or
LIWORK is issued by XERBLA.

IWORK

IWORK is INTEGER array, dimension (MAX(1,LIWORK))
On exit, if INFO = 0, IWORK(1) returns the optimal LIWORK.

LIWORK

LIWORK is INTEGER
The dimension of the array IWORK.
If JOBZ = ā€™Nā€™ or N <= 1 then LIWORK must be at least 1.
If JOBZ = ā€™Vā€™ and N > 1 then LIWORK must be at least 3+5*N.

If LIWORK = -1, then a workspace query is assumed; the
routine only calculates the optimal sizes of the WORK and
IWORK arrays, returns these values as the first entries of
the WORK and IWORK arrays, and no error message related to
LWORK or LIWORK is issued by XERBLA.

INFO

INFO is 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 E did not converge to zero.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Author

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