| Title:
|
Generalization of the minimax method for calculation of the spectral radius of a matrix (English) |
| Author:
|
Zitko, Jan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
15 |
| Issue:
|
1 |
| Year:
|
1970 |
| Pages:
|
41-62 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $B$ be a non-negative irreducible $n\times n$ cyclic matrix of index 2, let $I$ be the unite matrix.
In this paper the calculation of the spectral radius of the matrix $B+\alpha I$ by minimax method as well as the rate of convergence in dependence on the number $\alpha$ is studied. (English) |
| Keyword:
|
numerical mathematics |
| MSC:
|
65-40 |
| idZBL:
|
Zbl 0194.46802 |
| idMR:
|
MR0250472 |
| DOI:
|
10.21136/AM.1970.103266 |
| . |
| Date available:
|
2008-05-20T17:47:00Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103266 |
| . |
| Reference:
|
[1] R. S. Varga: Matrix Iterative Analysis.Prentice-Hall, Englewood Cliffs, New Jersey 1962. MR 0158502 |
| Reference:
|
[2] D. M. Young: Iterative Methods for Solving Partial Difference Equation of Elliptic Type.Trans. Amer. Math. Soc. 76 (1954), 92-111. MR 0059635, 10.1090/S0002-9947-1954-0059635-7 |
| Reference:
|
[3] E. Humhal, J. Zítko: Poznámka k superrelaxační metodě.Aplikace matematiky 3, sv. 12 (1967) 161-170. MR 0224263 |
| Reference:
|
[4] J. Zítko: Srovnání metod pro výpočet spektrálního poloměru matice.Sborník výzkumných prací Ústavu výpočtové techniky ČSAV - ČVUT 1967. |
| . |
