对称矩阵的拟正交扩展

IF 0.7 3区数学 Q2 MATHEMATICS

Discrete Mathematics Pub Date : 2025-04-03 DOI:10.1016/j.disc.2025.114517

Abderrahim Boussaïri , Brahim Chergui , Zaineb Sarir , Mohamed Zouagui

引用次数: 0

摘要

对于正实数Q，如果Q∈Q=qIn，则n×n实矩阵Q是拟正交的。如果M是拟正交矩阵Q的主子矩阵，则我们说Q是M的拟正交扩展。在最近的工作中，作者研究了实偏对称矩阵类的这个概念。使用不同的方法，本文处理对称矩阵的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quasi-orthogonal extension of symmetric matrices

n \times n

real matrix Q is quasi-orthogonal if

Q^{⊤} Q = q I_{n}

for some positive real number q. If M is a principal sub-matrix of a quasi-orthogonal matrix Q, we say that Q is a quasi-orthogonal extension of M. In a recent work, the authors have investigated this notion for the class of real skew-symmetric matrices. Using a different approach, this paper addresses the case of symmetric matrices.

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来源期刊

Discrete Mathematics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

424

审稿时长

6 months

期刊介绍： Discrete Mathematics provides a common forum for significant research in many areas of discrete mathematics and combinatorics. Among the fields covered by Discrete Mathematics are graph and hypergraph theory, enumeration, coding theory, block designs, the combinatorics of partially ordered sets, extremal set theory, matroid theory, algebraic combinatorics, discrete geometry, matrices, and discrete probability theory. Items in the journal include research articles (Contributions or Notes, depending on length) and survey/expository articles (Perspectives). Efforts are made to process the submission of Notes (short articles) quickly. The Perspectives section features expository articles accessible to a broad audience that cast new light or present unifying points of view on well-known or insufficiently-known topics.