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- W4309487631 abstract "In this article, we propose a quasi-Newton algorithm to solve a matrix polynomial equation, which can be seen as a generalization of the algorithm of the same type to solve the matrix quadratic equation proposed in Macías et al. (2016). The proposed algorithm reduces the computational cost of the Newton–Schur method traditionally used to solve this type of equations. We show that this algorithm is local and even quadratically convergent. Finally, we present numerical experiments that ratify the theoretical results developed." @default.
- W4309487631 created "2022-11-28" @default.
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- W4309487631 date "2023-03-01" @default.
- W4309487631 modified "2023-10-02" @default.
- W4309487631 title "On the local convergence of a quasi-Newton method for solving matrix polynomial equations" @default.
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- W4309487631 doi "https://doi.org/10.1016/j.amc.2022.127678" @default.
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