Left and right inverse eigenpairs problem of generalized centrosymmetric matrices and its optimal approximation problem. (English) Zbl 1181.65057

Li, Fan-Liang; Hu, Xi-Yan; Zhang, Lei

Appl. Math. Comput. 212, No. 2, 481-487 (2009).

Earlier the authors [Appl. Math. Comput. 177, 105–110 (2006; Zbl 1098.65039)] obtained some results for a certain inverse eigenproblem, and an associated approximation problem, for skew-centrosymmetric matrices. This paper gives similar results for the corresponding problem for matrices \(A\) satisfying \(A=KAK\), where \(K\) is a given permutation matrix. For some related results, see the authors [Math. Numer. Sin. 29, No. 4, 337–344 (2007; Zbl 1143.65334)].

Reviewer: Alan L. Andrew (Bundoora)

MSC:

65F18

Numerical solutions to inverse eigenvalue problems

Keywords:

generalized centrosymmetric matrices; left and right inverse eigenpairs; optimal approximation; inverse eigenproblem

Citations:

Zbl 1098.65039; Zbl 1143.65334

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