Left and right inverse eigenpairs problem of skew-centrosymmetric matrices

Authors:
Fan-Liang Li;Xi-Yan Hu;Lei Zhang
Affiliations:
College of Mathematics and Econometrics, Hunan University, Changsha, PR China and Department of Mathematics and Computational Science, Hunan City College, Yi Yang, PR China;College of Mathematics and Econometrics, Hunan University, Changsha, PR China and Department of Mathematics and Computational Science, Hunan City College, Yi Yang, PR China;College of Mathematics and Econometrics, Hunan University, Changsha, PR China
Venue:
Applied Mathematics and Computation
Year:
2006

Citing 2
Cited 1

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SIAM Review
The Recursive Inverse Eigenvalue Problem

SIAM Journal on Matrix Analysis and Applications

The left and right inverse eigenvalue problems of generalized reflexive and anti-reflexive matrices

Journal of Computational and Applied Mathematics

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Abstract

The left and right inverse eigenvalue problem of skew-centrosymmetric matrices and its optimal approximation are considered. New necessary and sufficient conditions for the solvability of the problem are derived, the general expression of the solution is given. The optimal approximate solution and some numerical experiments are also provided.