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Sufficient Conditions for the Unique Solution of a New Class of Sylvester-Like Absolute Value Equations

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  • Cuixia Li

    (Yunnan Normal University)

Abstract

In this paper, a new class of Sylvester-like absolute value equations (AVE) is considered, which is quite distinct from the published work by Hashemi [Applied Mathematics Letters, 112 (2021) 106818]. Some sufficient conditions for the unique solution of this new Sylvester-like AVE are obtained.

Suggested Citation

  • Cuixia Li, 2022. "Sufficient Conditions for the Unique Solution of a New Class of Sylvester-Like Absolute Value Equations," Journal of Optimization Theory and Applications, Springer, vol. 195(2), pages 676-683, November.
    • Handle: RePEc:spr:joptap:v:195:y:2022:i:2:d:10.1007_s10957-022-02106-y
    DOI: 10.1007/s10957-022-02106-y
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    References listed on IDEAS

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    1. Oleg Prokopyev, 2009. "On equivalent reformulations for absolute value equations," Computational Optimization and Applications, Springer, vol. 44(3), pages 363-372, December.
    2. Louis Caccetta & Biao Qu & Guanglu Zhou, 2011. "A globally and quadratically convergent method for absolute value equations," Computational Optimization and Applications, Springer, vol. 48(1), pages 45-58, January.
    3. Cui-Xia Li, 2016. "A Modified Generalized Newton Method for Absolute Value Equations," Journal of Optimization Theory and Applications, Springer, vol. 170(3), pages 1055-1059, September.
    Full references (including those not matched with items on IDEAS)

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