Explicit formulas for the exponentials of some special matrices

被引：4
|
作者：
Wu, Beibei [1 ]
机构：
[1] Shanghai Univ Elect Power, Dept Math & Phys, Shanghai 200090, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 05期
关键词：
Matrix exponential; Special matrices; Power series; COMPUTE;
D O I：
10.1016/j.aml.2010.11.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The matrix exponential plays a very important role in many fields of mathematics and physics. It can be computed by many methods. This work is devoted to the study of some explicit formulas for computing e(A), where A is a special square matrix. The main results are based on the convergent power series of e(A). Examples and applications are given. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：642 / 647
页数：6
相关论文
共 50 条
  • [21] The explicit formulas of the Drazin inverse of matrices and its nth powers
    Said Zriaa
    Mohammed Mouçouf
    Rendiconti del Circolo Matematico di Palermo Series 2, 2024, 73 : 603 - 612
  • [22] The explicit formulas of the Drazin inverse of matrices and its nth powers
    Zriaa, Said
    Moucouf, Mohammed
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (02) : 603 - 612
  • [23] Explicit formulas for the constituent matrices. Application to the matrix functions
    Ben Taher, R.
    Rachidi, M.
    SPECIAL MATRICES, 2015, 3 (01): : 43 - 52
  • [24] SOME EXPLICIT FORMULAS FOR EXPONENTIAL MATRIX ETA
    APOSTOL, TM
    AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (03): : 289 - &
  • [25] ON SOME EXPLICIT FORMULAS IN THE THEORY OF WEIL REPRESENTATION
    RAO, RR
    PACIFIC JOURNAL OF MATHEMATICS, 1993, 157 (02) : 335 - 371
  • [26] Explicit inverses of some tridiagonal matrices
    da Fonseca, CM
    Petronilho, J
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 325 (1-3) : 7 - 21
  • [27] ON COMMUTING MATRICES AND EXPONENTIALS
    Pazzis, Clement de Seguins
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (03) : 763 - 774
  • [28] Some Properties of Some Special Matrices
    Yue, Xiaopeng
    Liang, Xiquan
    Sun, Zhongpin
    FORMALIZED MATHEMATICS, 2005, 13 (04): : 541 - 547
  • [29] EXPLICIT FORMULAS FOR EXPONENTIAL OF 2Χ2 SPLIT-COMPLEX MATRICES
    Cakir, Hasan
    Ozdemir, Mustafa
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2022, 71 (02): : 518 - 532
  • [30] Explicit inversion formulas for properly Hessenberg and Toeplitz-Hessenberg matrices
    Abderraman Marrero, Jesus
    LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (06): : 1239 - 1256
12345