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- W3083006170 abstract "The fixed point iteration (FPI) method proposed by Ke [Appl Math Lett. 2020;99:105990] for solving the absolute value equations (AVE) with the form Ax−|x|=b is interesting for its simplicity and efficiency. However, its convergence is only guaranteed for the case that 0<∥A−1∥<22, excluding the possible case that 22≤∥A−1∥<1. To complete the gap, we develop a modified FPI (MFPI) method for solving the AVE with 0<∥A−1∥<1, which, besides keeping the simplicity of FPI, improves its efficiency by judiciously choosing the involving parameter. Under mild conditions, we prove its linear convergence. We present some preliminary numerical results for 0<∥A−1∥<1, demonstrating its convergence; and compare it with FPI when 0<∥A−1∥<22, illustrating its superiority." @default.
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- W3083006170 date "2020-09-02" @default.
- W3083006170 modified "2023-10-17" @default.
- W3083006170 title "A modified fixed point iteration method for solving the system of absolute value equations" @default.
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- W3083006170 doi "https://doi.org/10.1080/02331934.2020.1804568" @default.
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