Please use this identifier to cite or link to this item:
|Title:||On refined Ritz vectors and polynomial characterization|
|Keywords:||Refined Ritz vectors|
Refined Arnoldi method
|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.|
|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.