Please use this identifier to cite or link to this item: http://hdl.handle.net/11717/15303
Title: On refined Ritz vectors and polynomial characterization
Authors: Ravibabu, M.
Singh, A.
Keywords: Refined Ritz vectors
Refined Arnoldi method
Polynomial characterization
Issue Date: 2014
Citation: Computers and Mathematics with Applications, 67(5), 1057-1064
Abstract: It is generally believed that the Ritz vectors do not coincide with the refined Ritz vectors in the Arnoldi method for computing eigenvalues of matrices. We show that this coincidence is theoretically possible. We provide a necessary and sufficient condition for this coincidence to happen and give examples to illustrate the same. Using Lanczos polynomials, we give a polynomial characterization of refined Ritz vectors of symmetric matrices that is different from the one available in the literature.
URI: http://dx.doi.org/10.1016/j.camwa.2014.01.005
http://hdl.handle.net/11717/15303
ISSN: 8981221
Appears in Collections:Articles

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.