Max Algebraic Complementary Basic Matrices

Autoři: Miroslav Fiedler
Rok vydání: 2014
Typ publikace: Článek v odborném periodiku
Periodikum: Linear Algebra and Its Applications
Bibliografická citace: FIEDLER, Miroslav, HALL, F.J. Max Algebraic Complementary Basic Matrices. Linear Algebra and Its Applications. 2014, 457(15 September), 287-292. ISSN 0024-3795. E-ISSN 1873-1856
Dostupné z: doi:10.1016/j.laa.2014.05.019
DOI: 10.1016/j.laa.2014.05.019
ID: 428696

Abstrakt

A max algebraic version of the results on complementary basic matrices is presented. It is shown that the max permanent of the result is equal to the product of simpler max permanents and the finite max eigenvalues of the product are the same for any permutation of the basic matrices.