将矩阵分解为二次矩阵的换元乘积

IF 0.9 4区数学 Q2 MATHEMATICS

Linear & Multilinear Algebra Pub Date : 2024-10-04 DOI:10.1080/03081087.2024.2411429

M. H. Bien, M. Ramezan-Nassab, L. Q. Truong

引用次数: 0

摘要

设 F 是一个域，p(x) 是 F[x] 中具有非零常数项的二次多项式，n≥2 是一个正整数。如果 p(T)=0 ，我们说 T∈Mn(F) 是 p(x)-quadratic 的。在本文中，给定 A∈SLn(F)...

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Decomposition of matrices into products of commutators of quadratic matrices

Let F be a field, p(x) be a quadratic polynomial in F[x] with a non-zero constant term, and n≥2 be a positive integer. We say that T∈Mn(F) is p(x)-quadratic if p(T)=0. In this paper, given A∈SLn(F)...

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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.