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
相关论文
共 50 条
  • [1] On involutiveness of linear combinations of a quadratic matrix and an arbitrary matrix
    Kalayci, Nurgul
    Sarduvan, Murat
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (04): : 1012 - 1027
  • [2] On Idempotency of Linear Combinations of a Quadratic or a Cubic Matrix and an Arbitrary Matrix
    Sarduvan, Murat
    Kalayci, Nurgul
    FILOMAT, 2019, 33 (10) : 3161 - 3185
  • [3] INVOLUTIVENESS OF LINEAR COMBINATIONS OF A QUADRATIC OR TRIPOTENT MATRIX AND AN ARBITRARY MATRIX
    Liu, X.
    Benitez, J.
    Zhang, M.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (03): : 595 - 610
  • [4] Notes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute
    Petik, Tugba
    Ozdemir, Halim
    Gokmen, B. Tufan
    TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (08) : 3373 - 3390
  • [5] Idempotency of linear combinations of an idempotent matrix and a tripotent matrix
    Baksalary, JK
    Baksalary, OM
    Styan, GPH
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 354 (1-3) : 21 - 34
  • [6] Tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute
    Xu, Chuang
    Xu, Runzhang
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (09) : 2091 - 2109
  • [7] Generalized Quadratic Matrix Programming: A Unified Framework for Linear Precoding With Arbitrary Input Distributions
    Jin, Juening
    Zheng, Yahong Rosa
    Chen, Wen
    Xiao, Chengshan
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2017, 65 (18) : 4887 - 4901
  • [8] On idempotency and tripotency of linear combinations of two commuting tripotent matrices
    Ozdemir, Halim
    Sarduvan, Murat
    Ozban, Ahmet Yasar
    Guler, Nesrin
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 207 (01) : 197 - 201
  • [9] Optimal linear-quadratic control: From matrix equations to linear matrix inequalities
    D. V. Balandin
    M. M. Kogan
    Automation and Remote Control, 2011, 72 : 2276 - 2284
  • [10] Optimal Linear-Quadratic Control: From Matrix Equations to Linear Matrix Inequalities
    Balandin, D. V.
    Kogan, M. M.
    AUTOMATION AND REMOTE CONTROL, 2011, 72 (11) : 2276 - 2284
12345