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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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On Solution of the Linear Matrix Equations

Volume 47, Issue 9, 2015, pp. 1-9
DOI: 10.1615/JAutomatInfScien.v47.i9.10
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ABSTRACT

The algorithm of finding solutions of various types of the linear matrix equations is proposed. The algorithm is based on the linear matrix inequalities. It is noted that while using this algorithm, one is to take into account the features of the desired solution (a symmetric matrix, etc.). The possibility of using iterative procedures to improve the accuracy of solutions is considered. On the examples of solving various types of the linear matrix equations, the efficiency of proposed algorithm is shown.

CITED BY
  1. Li Jiao-fen, Li Tao, Li Wen, Chen Yan-mei, Huang Ru, Solvability of matrix equations , under semi-tensor product, Linear and Multilinear Algebra, 65, 9, 2017. Crossref

  2. Wang Jin, Feng Jun-E, Huang Hua-Lin, Solvability of the matrix equation $ AX^{2} = B $ with semi-tensor product, Electronic Research Archive, 29, 3, 2021. Crossref

  3. Wang Jin, Tsionas Efthymios G., On Solutions of the Matrix Equation A ∘ l X  = B with respect to M M -2 Semitensor Product, Journal of Mathematics, 2021, 2021. Crossref

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