| Title:
|
On the row sum condition and the convergence of iteration processes (Preliminary communication) (English) |
| Author:
|
Marek, Ivo |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
9 |
| Issue:
|
1 |
| Year:
|
1968 |
| Pages:
|
165-172 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47-20 |
| MSC:
|
65Jxx |
| idZBL:
|
Zbl 0162.45701 |
| idMR:
|
MR0233215 |
| . |
| Date available:
|
2008-06-05T20:27:36Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105167 |
| . |
| Reference:
|
[1] M. A. KRASNOSELSKIJ: Položitělnyje rešenija operatornych uravněnij.Gostechizdat, Moskva 1962. |
| Reference:
|
[2] M. G. KREJN M. A. RUTMAN: Linějnyje operatory ostavljajuščije invariantnym konus v prostranstvě Banacha.Usp. mat. nauk III (1948), No 1, 3-95. MR 0027128 |
| Reference:
|
[3] I. MAREK: Spektrale Eigenschaften der K-positiven Operatoren und Einschliessungssätze für den Spektralradius.Czech. Math. J. 16 (1966), 493-517. Zbl 0152.33701, MR 0217622 |
| Reference:
|
[4] I. MAREK: $u_0$ - positive operators and some of their applications.J. Soc. Industr. Appl. Math. 15 (1967), 484-494. MR 0233176 |
| Reference:
|
[5] I. SAWASHIMA: On spectral properties of some positive operators.Nat. Sci. Rep. Ochanomizu Univ. 15 (1964), 53-64. Zbl 0138.07801, MR 0187096 |
| Reference:
|
[6] H. SCHAEFER: Halbgeoгdnete lokalkonvexe Vektorräume.Math. Annalen Bd. 135 (1958), 115-191. MR 0106401 |
| Reference:
|
[7] H. SCHAEFER: Spectral properties of positive linear transformations.Pacif. J. Math. 10 (1960), 1009-1019. MR 0115090 |
| Reference:
|
[8] A. E. TAYLOR: Introduction to Functional Analysis.J. Wiley Publ. New York 1958. Zbl 0081.10202, MR 0098966 |
| Reference:
|
[9] R. S. VARGA: Matrix Iterative Analysis.Prentice-Hall, Englewood Cliffs, New Jersey 1962. MR 0158502 |
| Reference:
|
[10] W. WALTER: Bemerkungen zu Iterationsverfahren bei linearen Gleichungssystemen.Numer. Math. 10 (1967), 80-85. Zbl 0168.13401, MR 0216740 |
| . |
