Equivalence of $K$-irreducibility concepts
Marek, Ivo ; Žitný, Karel
Commentationes Mathematicae Universitatis Carolinae, Tome 025 (1984), p. 61-72 / Harvested from Czech Digital Mathematics Library
Publié le : 1984-01-01
Classification:  15A48,  46A40,  46B42,  47A99,  47B55,  47B60
@article{106279,
     author = {Ivo Marek and Karel \v Zitn\'y},
     title = {Equivalence of $K$-irreducibility concepts},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {025},
     year = {1984},
     pages = {61-72},
     zbl = {0558.47031},
     mrnumber = {749116},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106279}
}
Marek, Ivo; Žitný, Karel. Equivalence of $K$-irreducibility concepts. Commentationes Mathematicae Universitatis Carolinae, Tome 025 (1984) pp. 61-72. http://gdmltest.u-ga.fr/item/106279/

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. (1966) | MR 0206019 | Zbl 0231.15017

Frobenius G. Über Matrizen aus nicht negativen Elementen, Sitzungsberichte Preuss. Akad. Wiss. Berlin 1912, 456-477. (1912)

Geiringer H. On the solution of systems of linear equations by certain iterative methods, Reissner Anniversary Volume, J. W. Edwards, Ann Arbor, Michigan 1949. (1949)

König D. Theorie der endlichen und unendlichen Graphen, Chelsea Publ. Co., New York 1950. (1950) | MR 0036989

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. (1948) | MR 0027128

Marcus M.; Minc H. A Survey of Matrix Theory and Matrix Inequalities, Allyn and Bacon, Boston 1964; the Russian translation, Nauka Moscow 1972. (1964) | MR 0162808 | Zbl 0126.02404

Marek I. Frobenius theory of positive operators, Comparison theorems and applications, SIAM J. Appl. Math. 19 (1970), 607-628. (1970) | MR 0415405 | Zbl 0219.47022

Sahashima I. Spectral properties of some positive operators, Natur. Sci. Rep. Ochanomizu Univ. 15 (1964), 55-64. (1964) | MR 0187096

Schaffer H. H. Spectral properties of positive linear transformations, Pacif. J. Math. 10 (1960), 1009-1019. (1960) | MR 0115090

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. (1977) | MR 0446850

Stecenko V. Ya. Criteria of irreducibility of linear operators, Uspekhi Mat. Nauk XXI, Nr. 5 (131) (1966), 265-266 (Russian). (1966) | MR 0201977

Vandergraft J. S. Spectral properties of matrices which have invariant cones, SIAM J. Appl. Math. 16 (1968), 1208-1222. (1968) | MR 0244284 | Zbl 0186.05701

Varga R. S. Matrix Iterative Analysis, Prentice Hall Inc. Englewood Cliffs, New Jersey, 1962. (1962) | MR 0158502