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A new concave minimization algorithm for the absolute value equation solution
Optimization Letters ( IF 1.3 ) Pub Date : 2021-01-05 , DOI: 10.1007/s11590-020-01691-z Moslem Zamani , Milan Hladík
中文翻译:
求绝对值方程解的新的凹面最小化算法
更新日期:2021-01-05
Optimization Letters ( IF 1.3 ) Pub Date : 2021-01-05 , DOI: 10.1007/s11590-020-01691-z Moslem Zamani , Milan Hladík
In this paper, we study the absolute value equation (AVE) \(Ax-b=|x|\). One effective approach to handle AVE is by using concave minimization methods. We propose a new method based on concave minimization methods. We establish its finite convergence under mild conditions. We also study some classes of AVEs which are polynomial time solvable.
中文翻译:
求绝对值方程解的新的凹面最小化算法
在本文中,我们研究了绝对值方程(AVE)\(Ax-b = | x | \)。处理AVE的一种有效方法是使用凹面最小化方法。我们提出了一种基于凹面最小化方法的新方法。我们在温和条件下建立其有限收敛性。我们还研究了一些可解决多项式时间的AVE类。