Title | ||
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Left and right inverse eigenpairs problem of generalized centrosymmetric matrices and its optimal approximation problem |
Abstract | ||
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In this paper, the left and right inverse eigenpairs problem for generalized centrosymmetric matrices is considered. We obtain the necessary and sufficient conditions for the solvability of the problem, and we present the general expression of the solution. The related optimal approximation problem to a given matrix over the solution set is solved. In addition, a numerical algorithm and examples to solve the problem are given. |
Year | DOI | Venue |
---|---|---|
2009 | 10.1016/j.amc.2009.02.035 | Applied Mathematics and Computation |
Keywords | Field | DocType |
optimal approximation,generalized centrosymmetric matrices,left and right inverse eigenpairs | Inverse,Mathematical optimization,Matrix (mathematics),Left and right,Solution set,Inverse problem,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
212 | 2 | Applied Mathematics and Computation |
Citations | PageRank | References |
4 | 0.52 | 6 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Fan-Liang Li | 1 | 20 | 2.85 |
Xiyan Hu | 2 | 121 | 25.32 |
Lei Zhang | 3 | 68 | 8.33 |