A finite dimensional analog of the Krein formula
Mathematical Physics
2007-05-23 v1 Analysis of PDEs
math.MP
Abstract
I offer a simple and useful formula for the resolvent of a small rank perturbation of large matrices. I discuss applications of this formula, in particular, to analytical and numerical solving of difference boundary value problems. I present examples connected with such problems for the difference Laplacian and estimate numerical efficiency of the corresponding algorithms.
Keywords
Cite
@article{arxiv.math-ph/0209055,
title = {A finite dimensional analog of the Krein formula},
author = {I. A. Shereshevskii},
journal= {arXiv preprint arXiv:math-ph/0209055},
year = {2007}
}
Comments
arXiv version is already official