The uniqueness of expression for generalized quadratic matrices

被引：0
|
作者：
Chen, Meixiang [1 ]
Yang, Zhongpeng [2 ]
Chen, Qinghua [3 ]
机构：
[1] Putian Univ, Fujian Key Lab Financial Informat Proc, Putian 351100, Fujian, Peoples R China
[2] Putian Univ, Fujian Prov Univ, Key Lab Appl Math, Putian 351100, Fujian, Peoples R China
[3] Fujian Normal Univ, Sch Math & Stat, Fuzhou 350007, Fujian, Peoples R China
来源：
OPEN MATHEMATICS | 2024年 / 22卷 / 01期
基金：
中国国家自然科学基金;
关键词：
generalized quadratic matrix; uniqueness; linear combination; rank; LINEAR-COMBINATIONS; RANK EQUALITIES; IDEMPOTENT; SPECTRA;
D O I：
10.1515/math-2023-0186
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that the expression as A(2) = alpha A + beta P for generalized quadratic matrices is not unique by numerical examples. Then it is proven that the uniqueness of expression for generalized quadratic matrices is concerned not only with the properties of A but also with the rank of P . Furthermore, the sufficient and necessary conditions for the uniqueness of generalized quadratic matrices'expression are obtained. Finally, some related discussions about generalized quadratic matrices are also given.
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页数：14
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