TRIPOTENCY OF LINEAR COMBINATIONS OF A QUADRATIC MATRIX AND AN ARBITRARY MATRIX

被引：0

作者：

Kalayci, Nurgul ^{[1
]}

Sarduvan, Murat ^{[2
]}

机构：

[1] Igdir Univ, Dept Software Engn, TR-76000 Suveren Igdir, Turkiye

[2] Sakarya Univ, Dept Math, TR-54050 Serdivan Sakarya, Turkiye

来源：

HONAM MATHEMATICAL JOURNAL | 2024年 / 46卷 / 03期

关键词：

linear combination; quadratic matrix; tripotent matrix; IDEMPOTENT; INVOLUTIVENESS;

D O I：

10.5831/HMJ.2024.46.3.349

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give necessary and sufficient conditions for tripotency of the linear combination of the form aQ + bA, under some certain conditions imposed on Q and A, where Q is a nonzero quadratic matrix, A is a nonzero arbitrary matrix and a, b are nonzero complex numbers. Moreover, some examples illustrating the main results are given.

引用

页码：349 / 364

页数：16

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