Primes in several classes of the positive matrices

被引:13
作者
Picci, G
van den Hof, JM
van Schuppen, JH
机构
[1] Univ Padua, Dipartimento Elettron & Informat, I-35131 Padua, Italy
[2] CWI, NL-1090 GB Amsterdam, Netherlands
关键词
prime; positive matrix; doubly stochastic matrix; doubly stochastic circulant;
D O I
10.1016/S0024-3795(97)10060-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The classification of primes in the semi-ring of the positive matrices is of interest to control and system theory. A few examples of primes in the positive matrices are known. In this paper results on the classification of primes in the positive matrices, in the doubly stochastic matrices, and in the doubly stochastic circulants are presented. (C) 1998 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:149 / 185
页数:37
相关论文
共 22 条
[1]  
[Anonymous], 1979, NONNEGATIVE MATRICES
[2]  
[Anonymous], 1984, LINEAR MULTILINEAR A
[3]  
BERMAN A, 1993, CLASSICS APPL MATH, V9
[4]  
Berman A., 1989, NONNEGATIVE MATRICES
[5]  
Brualdi R. A., 1991, COMBINATORIAL MATRIX, V39
[6]   DIAGONAL EQUIVALENCE OF A NONNEGATIVE MATRIX TO A STOCHASTIC MATRIX [J].
BRUALDI, RA ;
PARTER, SV ;
SCHNEIDER, H .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1966, 16 (01) :31-&
[7]  
Davis P. J., 2013, Circulant Matrices
[8]   PRIMES IN THE SEMIGROUP OF BOOLEAN MATRICES [J].
DECAEN, D ;
GREGORY, DA .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1981, 37 (APR) :119-134
[9]  
DENES J, 1991, LATIN SQUARES NEW DE
[10]  
DIEUDONNE J., 1969, Foundations of Modern Analysis