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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/151285

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/151285

Title:	An index search method based inner-outer iterative algorithm for solving nonnegative least squares problems
Authors:	郭岳承 Kuo, Yueh-Cheng;Liu, Ching-Sung
Contributors:	應數系
Keywords:	Index search method;Nonnegative least squares problems;KKT conditions;Optimization problem
Date:	2023-05
Issue Date:	2024-05-24 11:34:35 (UTC+8)
Abstract:	We propose an index search method (ISM) for solving nonnegative least squares problems (NNLS). This method uses inner and outer schemes to find the index set corresponding to the nonzero component of the optimal solution. The outer iteration updates the approximate index set such that the objective value of the sequence generated by ISM is monotonically decreasing. Hence, the index set generated by ISM does not repeat, and the optimal solution can be achieved with finite iteration steps. Some normal equations need to be solved in the inner iteration, which is the dominant computational complexity in ISM. Numerical experiments are provided to support the theoretical results.
Relation:	Journal of Computational and Applied Mathematics, Vol.424, 114954
Data Type:	article
DOI 連結:	https://doi.org/10.1016/j.cam.2022.114954
DOI:	10.1016/j.cam.2022.114954
Appears in Collections:	[應用數學系] 期刊論文

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