A study on matrices with hybrid number entries

被引：0
|
作者：
Erkan, Esra [1 ]
Kuruz, Ferhat [2 ]
Dagdeviren, Ali [3 ]
机构：
[1] Harran Univ, Fac Sci & Arts, Dept Math, Sanliurfa, Turkey
[2] Istanbul Gelisim Univ, Dept Comp Engn, Fac Engn & Architecture, Istanbul, Turkey
[3] Khoja Akhmet Yassawi Int Kazak Turkish Univ, Dept Comp Engn, Fac Engn, Turkistan, Kazakhstan
来源：
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2022年
关键词：
hybrid numbers; hybrid matrices; complex matrices; dual matrices; hyperbolic matrices;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Y In this paper, we firstly introduce the matrices with hybrid numbers entries. For the sake of compatibility with the literature, we will call this set of matrices as hybrid matrices. These matrices can be regarded as a generalization of complex matrices, dual matrices, and hyperbolic matrices. We then give basic properties of hybrid matrices by writing these matrices as a combination of real matrices. Finally, we examine the real matrix representation of hybrid matrices using the base elements.
引用
收藏
页码：227 / 235
页数：9
相关论文
共 50 条
  • [1] Hybrid number matrices
    Cakir, Hasan
    Ozdemir, Mustafa
    FILOMAT, 2023, 37 (27) : 9215 - 9227
  • [2] Classes of sign nonsingular matrices with a specified number of zero entries
    Linear Algebra Its Appl, (253):
  • [3] Classes of sign nonsingular matrices with a specified number of zero entries
    Green, BCJ
    Olesky, DD
    vandenDriessche, P
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1996, 248 : 253 - 275
  • [4] Determinants of Some Hessenberg-Toeplitz Matrices with Motzkin Number Entries
    Goy, Taras
    Shattuck, Mark
    JOURNAL OF INTEGER SEQUENCES, 2023, 26 (03)
  • [5] DETERMINANT IDENTITIES FOR TOEPLITZ-HESSENBERG MATRICES WITH TRIBONACCI NUMBER ENTRIES
    Goy, Taras
    Shattuck, Mark
    TRANSACTIONS ON COMBINATORICS, 2020, 9 (02) : 89 - 109
  • [6] Determinants of Toeplitz-Hessenberg Matrices with Generalized Leonardo Number Entries
    Goy, Taras
    Shattuck, Mark
    ANNALES MATHEMATICAE SILESIANAE, 2024, 38 (02) : 263 - 283
  • [7] Number of nonzero entries of S2NS matrices and matrices with signed generalized inverses
    Shao, JY
    He, JL
    Shan, HY
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 373 : 223 - 239
  • [8] On matrices with operator entries
    Ljiljana Cvetković
    Djurdjica Takači
    Numerical Algorithms, 2006, 42 : 335 - 344
  • [9] On matrices with operator entries
    Cvetkovic, Ljiljana
    Takaci, Djurdjica
    NUMERICAL ALGORITHMS, 2006, 42 (3-4) : 335 - 344
  • [10] MATRICES WITH NONZERO ENTRIES
    SILVA, FC
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 146 : 111 - 119
12345