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Solving the Matrix Nearness Problem in the Maximum Norm by Applying a Projection and Contraction Method
Joint Authors
Source
Advances in Operations Research
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-13
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Information Technology and Computer Science
Abstract EN
Let S be a closed convex set of matrices and C be a given matrix.
The matrix nearness problem considered in this paper is to find a matrix X in the set S at which max {|xij−cij|} reaches its minimum value.
In order to solve the matrix nearness problem, the problem is reformulated to a min-max problem firstly, then the relationship between the min-max problem and a monotone linear variational inequality (LVI) is built.
Since the matrix in the LVI problem has a special structure, a projection and contraction method is suggested to solve this LVI problem.
Moreover, some implementing details of the method are presented in this paper.
Finally, preliminary numerical results are reported, which show that this simple algorithm is promising for this matrix nearness problem.
American Psychological Association (APA)
Minghua, Xu& Shao, H.. 2012. Solving the Matrix Nearness Problem in the Maximum Norm by Applying a Projection and Contraction Method. Advances in Operations Research،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-465564
Modern Language Association (MLA)
Minghua, Xu& Shao, H.. Solving the Matrix Nearness Problem in the Maximum Norm by Applying a Projection and Contraction Method. Advances in Operations Research No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-465564
American Medical Association (AMA)
Minghua, Xu& Shao, H.. Solving the Matrix Nearness Problem in the Maximum Norm by Applying a Projection and Contraction Method. Advances in Operations Research. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-465564
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465564