Left and Right Inverse Eigenpairs Problem for κ‐Hermitian Matrices

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

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: Left and right inverse eigenpairs problem for κ‐hermitian matrices and its optimal approximate problem are considered. Based on the special properties of κ‐hermitian matrices, the equivalent problem is obtained. Combining a new inner product of matrices, the necessary and sufficient conditions for the solvability of the problem and its general solutions are derived. Furthermore, the optimal approximate solution and a calculation procedure to obtain the optimal approximate solution are provided.

Date: 2013
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https://doi.org/10.1155/2013/230408

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:230408

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