Infinite Matrices and their Finite Sections
Autor: | Marko Lindner |
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EAN: | 9783764377670 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 10.11.2006 |
Untertitel: | An Introduction to the Limit Operator Method |
Kategorie: | |
Schlagworte: | Matrix Operator theory Schrödinger operator band-dominated matrix functional analysis limit operator linear algebra linear operator numerical analysis |
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This book is concerned with the study of infinite matrices and their approximation by matrices of finite size. The main concepts presented are invertibility at infinity (closely related to Fredholmness), limit operators, and the stability and convergence of finite matrix approximations. Concrete examples are used to illustrate the results throughout, including discrete Schrödinger operators and integral and boundary integral operators arising in mathematical physics and engineering.