Left and Right Inverse Eigenpairs Problem for -Hermitian Matrices

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

Journal of Applied Mathematics, 2013, vol. 2013, 1-6

Abstract:

Left and right inverse eigenpairs problem for -hermitian matrices and its optimal approximate problem are considered. Based on the special properties of -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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:230408

DOI: 10.1155/2013/230408

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