Numerical safeguarded use of the implicit restarted Lanczos algorithm for solving nonlinear eigenvalue problems and its monotonicity analysis

In this thesis, we develop an efficient accurate numerical algorithm for evaluating a few of the smallest eigenvalues and their corresponding eigenvectors for large scale nonlinear eigenproblems. The entries of the matrices in these problems are transcendental functions approximated well by rational...

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Bibliographic Details
Main Author: Abdel-Aziz, Mohammedi Radwan Hassan
Other Authors: Sorensen, Danny C.
Format: Others
Language:English
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/1911/16596