claed0-f(3)

claed0.f –

Synopsis

Functions/Subroutines

subroutine claed0 (QSIZ, N, D, E, Q, LDQ, QSTORE, LDQS, RWORK, IWORK, INFO)
CLAED0 used by sstedc. Computes all eigenvalues and corresponding eigenvectors of an unreduced symmetric tridiagonal matrix using the divide and conquer method.

Function/Subroutine Documentation

subroutine claed0 (integerQSIZ, integerN, real, dimension( * )D, real, dimension( * )E, complex, dimension( ldq, * )Q, integerLDQ, complex, dimension( ldqs, * )QSTORE, integerLDQS, real, dimension( * )RWORK, integer, dimension( * )IWORK, integerINFO)

CLAED0 used by sstedc. Computes all eigenvalues and corresponding eigenvectors of an unreduced symmetric tridiagonal matrix using the divide and conquer method.

Purpose:

 Using the divide and conquer method, CLAED0 computes all eigenvalues
 of a symmetric tridiagonal matrix which is one diagonal block of
 those from reducing a dense or band Hermitian matrix and
 corresponding eigenvectors of the dense or band matrix.

Parameters:

QSIZ

 QSIZ is INTEGER
 The dimension of the unitary matrix used to reduce
 the full matrix to tridiagonal form. QSIZ >= N if ICOMPQ = 1.

 N is INTEGER
 The dimension of the symmetric tridiagonal matrix. N >= 0.

 D is REAL array, dimension (N)
 On entry, the diagonal elements of the tridiagonal matrix.
 On exit, the eigenvalues in ascending order.

 E is REAL array, dimension (N-1)
 On entry, the off-diagonal elements of the tridiagonal matrix.
 On exit, E has been destroyed.

 Q is COMPLEX array, dimension (LDQ,N)
 On entry, Q must contain an QSIZ x N matrix whose columns
 unitarily orthonormal. It is a part of the unitary matrix
 that reduces the full dense Hermitian matrix to a
 (reducible) symmetric tridiagonal matrix.

LDQ

 LDQ is INTEGER
 The leading dimension of the array Q. LDQ >= max(1,N).

IWORK

 IWORK is INTEGER array,
 the dimension of IWORK must be at least
 6 + 6*N + 5*N*lg N
 ( lg( N ) = smallest integer k
 such that 2^k >= N )

RWORK

 RWORK is REAL array,
 dimension (1 + 3*N + 2*N*lg N + 3*N**2)
 ( lg( N ) = smallest integer k
 such that 2^k >= N )

QSTORE

 QSTORE is COMPLEX array, dimension (LDQS, N)
 Used to store parts of
 the eigenvector matrix when the updating matrix multiplies
 take place.

LDQS

 LDQS is INTEGER
 The leading dimension of the array QSTORE.
 LDQS >= max(1,N).

INFO

 INFO is INTEGER
 = 0: successful exit.
 < 0: if INFO = -i, the i-th argument had an illegal value.
 > 0: The algorithm failed to compute an eigenvalue while
 working on the submatrix lying in rows and columns
 INFO/(N+1) through mod(INFO,N+1).

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

September 2012

Definition at line 145 of file claed0.f.

Author

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