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Journal of Automation and Information Sciences

Выходит 12 номеров в год

ISSN Печать: 1064-2315

ISSN Онлайн: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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On Solution of Sylvester Equation

Том 41, Выпуск 1, 2009, pp. 1-7
DOI: 10.1615/JAutomatInfScien.v41.i1.10
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Краткое описание

In terms of coefficients of the characteristic polynomial of one of matrix coefficients of the Sylvester equation the expression for the exact solution has been presented. Various computing procedures of finding the solution have been offered. One of these procedures can be considered as generalization for the case of the Sylvester equations of the known method of finding the solution of the Lyapunov equation by summation of infinite series. The efficiency of offered computing procedures has been illustrated.

ЦИТИРОВАНО В
  1. Larin V. B., Solutions of matrix equations in problems of mechanics and control, International Applied Mechanics, 45, 8, 2009. Crossref

  2. Hajarian Masoud, Lanczos version of BCR algorithm for solving the generalised second‐order Sylvester matrix equation, IET Control Theory & Applications, 11, 2, 2017. Crossref

  3. Hajarian Masoud, Convergence of HS version of BCR algorithm to solve the generalized Sylvester matrix equation over generalized reflexive matrices, Journal of the Franklin Institute, 354, 5, 2017. Crossref

  4. Hajarian Masoud, Partially doubly symmetric solutions of general Sylvester matrix equations, Transactions of the Institute of Measurement and Control, 42, 3, 2020. Crossref

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