Abstract
A necessary condition for the convergence of the iterative scheme ui+l = (I - γT) ui + F is given. The existence of a value γ that minimizes the spectral radius of the iteration matrix (I - γT) is proved. The explicit expression of the optimizing 7 in terms of the eigenvalues of T is also given.
| Original language | English |
|---|---|
| Title of host publication | Mathematical Models and Methods for Real World Systems |
| Publisher | CRC Press |
| Pages | 429-441 |
| Number of pages | 13 |
| ISBN (Electronic) | 9781420026511 |
| ISBN (Print) | 9780849337437 |
| State | Published - 19 Jul 2005 |
Bibliographical note
Publisher Copyright:© 2006 by Taylor & Francis Group, LLC. All rights reserved.
ASJC Scopus subject areas
- General Mathematics
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