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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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
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