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Research on a Class of Nonlinear Matrix Equation

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Bio-Inspired Computing - Theories and Applications

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 472))

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Abstract

In this paper, the nonlinear matrix equation \(X^{r}+\sum\limits_{i=1}^{m}A_{i}^{\ast}X^{\delta_{i}}A_{i}\) = Q is discussed. We propose the Newton iteration method for obtaining the Hermite positive definite solution of this equation. And a numerical example is given to identify the efficiency of the results obtained.

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References

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Author information

Authors and Affiliations

  1. College of Mathematics and Statistics, Beihua University, Jilin, 132013, China

    Jiating Fang, Haifeng Sang, Qingchun Li & Bo Wang

  2. Department of Mathematics, Baicheng Normal University, Baicheng, 137000, China

    Jiating Fang

Authors
  1. Jiating Fang
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  2. Haifeng Sang
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  3. Qingchun Li
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  4. Bo Wang
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Editor information

Editors and Affiliations

  1. Huazhong University of Science and Technology, 430074, Wuhan, China

    Linqiang Pan

  2. Institute of Mathematics of the Romanian Academy, 014700, Bucuresti, Romania

    Gheorghe Păun

  3. Department of Computer Science and Artificial Intelligence, University of Sevilla, Avda. Reina Mercedes s/n., 41012, Sevilla, Spain

    Mario J. Pérez-Jiménez

  4. School of Automation, Huazhong University of Science and Technology, 430074, Wuhan, China

    Tao Song

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© 2014 Springer-Verlag Berlin Heidelberg

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Fang, J., Sang, H., Li, Q., Wang, B. (2014). Research on a Class of Nonlinear Matrix Equation. In: Pan, L., Păun, G., Pérez-Jiménez, M.J., Song, T. (eds) Bio-Inspired Computing - Theories and Applications. Communications in Computer and Information Science, vol 472. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45049-9_18

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  • DOI: https://doi.org/10.1007/978-3-662-45049-9_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-45048-2

  • Online ISBN: 978-3-662-45049-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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