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自动化与信息科学期刊
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

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自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v50.i7.10
pages 1-6

On Construction of Centrosymmetric and Anticentrosymmetric Solutions of the Sylvester Matrix Equations

Vladimir B. Larin
S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

ABSTRACT

An algorithm for solving the centrosymmetric and anticentrosymmetric solutions of the Sylvester generalized matrix equations is proposed. The method of linear matrix inequalities is used for the construction of these solutions. The question of refining of the obtained solutions is considered. The efficiency of the suggested algorithms is shown by the examples.

REFERENCES

  1. Larin V.B., On solving the Sylvester equations, Problemy upravleniya i informatiki, 2009, No. 1, 29–34.

  2. Aliev F.A., Larin V.B., On the construction of general solution of the generalized Sylvester equation, TWMS J. Appl. Eng. Math., 2017, 7, No. 1, 1–6.

  3. Ke Y., Ma C., , The alternating direction methods for solving the Sylvester-type matrix equation <i>AXB&#43;CX<sup>T</sup>D &#61; D</i> , Journal of Computational Mathematics, 2017, 35, No. 5, 620–641.

  4. Lv C.-Q., Ma C.-F., BCR method for solving generalized coupled Sylvester equations over centrosymmetric or anticentrosymmetric matrix, Computational Mathematics with Applications, 2018, 75, 70–88.

  5. Boyd S., Ghaoui L.E., Feron E., Balakrishnan V., Linear matrix inequalities in system and control theory, SIAM, Philadelphia, 1994.

  6. Gahinet P., Nemirovski A., Laub A.J., Chilali M., LMI control toolbox users guide, The MathWorks Inc., 1995.