THE INTERVAL SYLVESTER EQUATION

被引：22
|
作者：
SEIF, NP
HUSSEIN, SA
DEIF, AS
机构：
[1] Dept. of Engineering Mathematics and Physics Facylty of Engineering, Cairo University
来源：
COMPUTING | 1994年 / 52卷 / 03期
关键词：
D O I：
10.1007/BF02246505
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper a necessary and sufficient condition for the existence of a solution for the interval Sylvester equation is given. A modified Oettli's inequality is derived to characterize the solution. Many direct methods for solving the equation are suggested and compared to each other. These methods are based on different techniques such as simulation, linear programming, correspondence between an interval Sylvester equation and an interval linear system as well as sensitivity analysis. An iterative technique for solving the interval Sylvester equation is provided with special conditions to guarantee the convergence. The square root of an interval matrix is calculated as an application to solving interval Sylvester equations.
引用
收藏
页码：233 / 244
页数：12
相关论文
共 50 条
  • [31] Parameterized Solution to Generalized Sylvester Matrix Equation
    Qiao Yupeng
    Qi Hongsheng
    Cheng Daizhan
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 2 - 6
  • [32] KRYLOV-SUBSPACE METHODS FOR THE SYLVESTER EQUATION
    HU, DY
    REICHEL, L
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 172 : 283 - 313
  • [33] On the solution of the fully fuzzy Sylvester matrix equation
    Keyanpour, Mohammad
    Salkuyeh, Davod Khojasteh
    Moosaei, Hossein
    Ketabchi, Saeed
    INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION, 2020, 40 (01): : 80 - 85
  • [34] Solutions of the Sylvester Equation in C*-Modular Operators
    Moghani, Z. Niazi
    Karizaki, M. Mohammadzadeh
    Khanehgir, M.
    UKRAINIAN MATHEMATICAL JOURNAL, 2021, 73 (03) : 414 - 432
  • [35] Formal derivation of algorithms:: The triangular Sylvester equation
    Quintana-Ortí, ES
    van de Geijn, RA
    ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2003, 29 (02): : 218 - 243
  • [36] The Sylvester Equation and Kadomtsev-Petviashvili System
    Feng, Wei
    Zhao, Songlin
    SYMMETRY-BASEL, 2022, 14 (03):
  • [37] Krylov subspace methods for the generalized Sylvester equation
    Bao, Liang
    Lin, Yiqin
    Wei, Yimin
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 175 (01) : 557 - 573
  • [38] A note on solving the fuzzy Sylvester matrix equation
    Sadeghi, A.
    Ismail, Ahmad I. M.
    Ahmad, A.
    Abbasnejad, M. E.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (01) : 10 - 22
  • [39] A Parameter Iterative Method for the Sylvester Matrix Equation
    Luo, Wei -Hua
    Wu, Kai-Teng
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2010, 11 : 259 - 263
  • [40] Applications of the Sylvester equation for the lattice BKP system
    Ying-ying Sun
    Chen-chen Wu
    Song-lin Zhao
    Theoretical and Mathematical Physics, 2023, 214 : 354 - 368
12345