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
收藏
页码：349 / 364
页数：16
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