dsterf (l) - Linux Manuals

dsterf: computes all eigenvalues of a symmetric tridiagonal matrix using the Pal-Walker-Kahan variant of the QL or QR algorithm

NAME

DSTERF - computes all eigenvalues of a symmetric tridiagonal matrix using the Pal-Walker-Kahan variant of the QL or QR algorithm

SYNOPSIS

SUBROUTINE DSTERF(
N, D, E, INFO )

    
INTEGER INFO, N

    
DOUBLE PRECISION D( * ), E( * )

PURPOSE

DSTERF computes all eigenvalues of a symmetric tridiagonal matrix using the Pal-Walker-Kahan variant of the QL or QR algorithm.

ARGUMENTS

N (input) INTEGER
The order of the matrix. N >= 0.
D (input/output) 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 (input/output) DOUBLE PRECISION array, dimension (N-1)
On entry, the (n-1) subdiagonal elements of the tridiagonal matrix. On exit, E has been destroyed.
INFO (output) 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.

Pages related to dsterf

  • dsterf (3)
  • dstebz (l) - computes the eigenvalues of a symmetric tridiagonal matrix T
  • dstedc (l) - computes all eigenvalues and, optionally, eigenvectors of a symmetric tridiagonal matrix using the divide and conquer method
  • dstegr (l) - computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix T
  • dstein (l) - computes the eigenvectors of a real symmetric tridiagonal matrix T corresponding to specified eigenvalues, using inverse iteration
  • dstemr (l) - computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix T
  • dsteqr (l) - computes all eigenvalues and, optionally, eigenvectors of a symmetric tridiagonal matrix using the implicit QL or QR method
  • dstev (l) - computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix A
  • dstevd (l) - computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix
  • dstevr (l) - computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix T