| Title:
|
Equivalence of $K$-irreducibility concepts (English) |
| Author:
|
Marek, Ivo |
| Author:
|
Žitný, Karel |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
25 |
| Issue:
|
1 |
| Year:
|
1984 |
| Pages:
|
61-72 |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A48 |
| MSC:
|
46A40 |
| MSC:
|
46B42 |
| MSC:
|
47A99 |
| MSC:
|
47B55 |
| MSC:
|
47B60 |
| idZBL:
|
Zbl 0558.47031 |
| idMR:
|
MR749116 |
| . |
| Date available:
|
2008-06-05T21:17:16Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106279 |
| . |
| Reference:
|
[1] BRUALDI R. A., PARTER S. V., SCHNEIDER H.: The diagonal equivalence of a nonnegative matrix to a stochastic matrix.J. Math. Anal. Appl. 16 (1966), 31-50. Zbl 0231.15017, MR 0206019 |
| Reference:
|
[2] FROBENIUS G.: Über Matrizen aus nicht negativen Elementen.Sitzungsberichte Preuss. Akad. Wiss. Berlin 1912, 456-477. |
| Reference:
|
[3] GEIRINGER H.: On the solution of systems of linear equations by certain iterative methods.Reissner Anniversary Volume, J. W. Edwards, Ann Arbor, Michigan 1949. |
| Reference:
|
[4] KÖNIG D.: Theorie der endlichen und unendlichen Graphen.Chelsea Publ. Co., New York 1950. MR 0036989 |
| Reference:
|
[5] KREIN M. G., RUTMAH M. A.: Linear operators leaving a oone invariant in a Banach space.Uspekhi Mat. Nauk III, N 1 (1948), 3-95 (In Russian). English translation Amer. Math. Soc. Translations 26 (1950), 128 pp. MR 0027128 |
| Reference:
|
[6] MARCUS M., MINC H.: A Survey of Matrix Theory and Matrix Inequalities.Allyn and Bacon, Boston 1964; the Russian translation, Nauka Moscow 1972. Zbl 0126.02404, MR 0162808 |
| Reference:
|
[7] MAREK I.: Frobenius theory of positive operators, Comparison theorems and applications.SIAM J. Appl. Math. 19 (1970), 607-628. Zbl 0219.47022, MR 0415405 |
| Reference:
|
[8] SAHASHIMA I.: Spectral properties of some positive operators.Natur. Sci. Rep. Ochanomizu Univ. 15 (1964), 55-64. MR 0187096 |
| Reference:
|
[9] SCHAFFER H. H.: Spectral properties of positive linear transformations.Pacif. J. Math. 10 (1960), 1009-1019. MR 0115090 |
| Reference:
|
[10] SCHNEIDER H.: The concepts of irreducibility and full indecomposabillty of a matrix in the works of Frobenius, König and Markov.Lin. Algebra and Its Applications 18 (1977), 139-162. MR 0446850 |
| Reference:
|
[11] STECENKO V. Ya.: Criteria of irreducibility of linear operators.Uspekhi Mat. Nauk XXI, Nr. 5 (131) (1966), 265-266 (Russian). MR 0201977 |
| Reference:
|
[12] VANDERGRAFT J. S.: Spectral properties of matrices which have invariant cones.SIAM J. Appl. Math. 16 (1968), 1208-1222. Zbl 0186.05701, MR 0244284 |
| Reference:
|
[13] VARGA R. S.: Matrix Iterative Analysis.Prentice Hall Inc. Englewood Cliffs, New Jersey, 1962. MR 0158502 |
| . |
