EFFICIENCY OF INEXACT FIXED POINT QUASICONVEX SUBGRADIENT METHOD
EFFICIENCY OF INEXACT FIXED POINT QUASICONVEX SUBGRADIENT METHOD
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发表时间：
2020
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通讯作者：
K. Hishinuma;H. Iiduka
中科院分区：
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作者：
K. Hishinuma;H. Iiduka
.本文研究了求解约束拟凸优化问题的不动点拟凸次梯度法的有效性。特别是，它集中在错误和噪声出现在计算中的情况下。本文给出了两种收敛速度分析：一种是根据目标函数值，另一种是根据逼近不动点集的程度。数值算例表明，计算不精确性对所得解的影响可以根据收敛速度分析加以控制。
. This paper considers the efficiency of the fixed point quasiconvex subgradient method for solving constrained quasiconvex optimization problems. In particular, it focuses on the case when errors and noise appear in the computation. This paper presents two convergence rate analyses: one in terms of the objective functional value; the other in terms of the degree of approximation to the fixed point set. Numerical examples show that the effect of the computational inexactness on the obtained solution can be controlled in accordance with the convergence rate analysis.