Journal of Nonlinear Mathematical Physics

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Volume 8, Issue 4, November 2001, Pages 446 - 457

A Finite Dimensional Analog of the Krein Formula

Authors
I.A. Shereshevskii
Corresponding Author
I.A. Shereshevskii
Received 19 September 2000, Revised 29 June 2001, Accepted 3 July 2001, Available Online 1 November 2001.
DOI
10.2991/jnmp.2001.8.4.1How to use a DOI?
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.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - 4
Pages
446 - 457
Publication Date
2001/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.4.1How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - I.A. Shereshevskii
PY  - 2001
DA  - 2001/11/01
TI  - A Finite Dimensional Analog of the Krein Formula
JO  - Journal of Nonlinear Mathematical Physics
SP  - 446
EP  - 457
VL  - 8
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.4.1
DO  - 10.2991/jnmp.2001.8.4.1
ID  - Shereshevskii2001
ER  -