Results 61 to 70 of about 155 (114)

Calculation Of Pseudospectra By The Arnoldi Iteration

open access: yes, 1996
. The Arnoldi iteration, usually viewed as a method for calculating eigenvalues, can also be used to estimate pseudospectra. This possibility may be of practical importance, for in applications involving highly non-normal matrices or operators, such as ...
Lloyd N. Trefethen, Kim-Chuan Toh, Lloyd
core  

Bounds On The Extreme Eigenvalues Of Real Symmetric Toeplitz Matrices

open access: yes, 2000
We derive upper and lower bounds on the smallest and largest eigenvalues, respectively, of real symmetric Toeplitz matrices. The bounds are first obtained for positive-definite matrices and then extended to the general real symmetric case. Our bounds are
A. Melman
core  

An Implicitly Restarted Symplectic Lanczos Method for the Symplectic Eigenvalue Problem

open access: yes, 1998
. An implicitly restarted symplectic Lanczos method for the symplectic eigenvalue problem is presented. The Lanczos vectors are constructed to form a symplectic basis.
Heike Faßbender, Peter Benner
core  

ON THE CONVERGENCE OF A NEW RAYLEIGH QUOTIENT METHOD WITH APPLICATIONS TO LARGE EIGENPROBLEMS

open access: yes, 2008
. In this paper we propose a variant of the Rayleigh quotient method to compute an eigenvalue and corresponding eigenvectors of a matrix. It is based on the observation that eigenvectors of a matrix with eigenvalue zero are also singular vectors ...
D. P. Oleary Y, G. W. Stewart Z
core  

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