最大加代数上代数特征向量的独立性和正交性

IF 0.9 4区数学 Q2 MATHEMATICS

Linear & Multilinear Algebra Pub Date : 2024-02-12 DOI:10.1080/03081087.2024.2316781

Yuki Nishida, Sennosuke Watanabe, Yoshihide Watanabe

引用次数: 0

摘要

max-plus 代数 R∪{-∞}是一个具有两种运算的半等式：加法 a⊕b:=max(a,b) 和乘法 a⊗b:=a+b。最大加矩阵的特征多项式的根称为代数...

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Independence and orthogonality of algebraic eigenvectors over the max-plus algebra

The max-plus algebra R∪{−∞} is a semiring with the two operations: addition a⊕b:=max(a,b) and multiplication a⊗b:=a+b. Roots of the characteristic polynomial of a max-plus matrix are called algebra...

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来源期刊

Linear & Multilinear Algebra 数学-数学

CiteScore

2.70

自引率

18.20%

发文量

175

审稿时长

4-8 weeks

期刊介绍： Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.