sterf - Man Page
sterf: eig, QR iteration
Synopsis
Functions
subroutine dsterf (n, d, e, info)
DSTERF
subroutine ssterf (n, d, e, info)
SSTERF
Detailed Description
Function Documentation
subroutine dsterf (integer n, double precision, dimension( * ) d, double precision, dimension( * ) e, integer info)
DSTERF
Purpose:
DSTERF computes all eigenvalues of a symmetric tridiagonal matrix using the Pal-Walker-Kahan variant of the QL or QR algorithm.
- Parameters
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. 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. On exit, E has been destroyed.
INFO
INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: the algorithm failed to find all of the eigenvalues in a total of 30*N iterations; if INFO = i, then i elements of E have not converged to zero.
- Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 85 of file dsterf.f.
subroutine ssterf (integer n, real, dimension( * ) d, real, dimension( * ) e, integer info)
SSTERF
Purpose:
SSTERF computes all eigenvalues of a symmetric tridiagonal matrix using the Pal-Walker-Kahan variant of the QL or QR algorithm.
- Parameters
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. 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. On exit, E has been destroyed.
INFO
INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: the algorithm failed to find all of the eigenvalues in a total of 30*N iterations; if INFO = i, then i elements of E have not converged to zero.
- Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 85 of file ssterf.f.
Author
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Info
Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK