文章基本信息

标题：A New Iterative Algorithm for Solving a Class of Matrix Nearness Problem
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作者：Xuefeng Duan ; Chunmei Li
期刊名称：ISRN Computational Mathematics
电子版ISSN：2090-7842
出版年度：2012
卷号：2012
DOI：10.5402/2012/126908
出版社：Hindawi Publishing Corporation
摘要：Based on the alternating projection algorithm, which was proposed by Von Neumann to treat the problem of finding the projection of a given point onto the intersection of two closed subspaces, we propose a new iterative algorithm to solve the matrix nearness problem associated with the matrix equations 𝐴𝑋𝐵=𝐸, 𝐶𝑋𝐷=𝐹, which arises frequently in experimental design. If we choose the initial iterative matrix 𝑋0=0, the least Frobenius norm solution of these matrix equations is obtained. Numerical examples show that the new algorithm is feasible and effective.