Left and Right Inverse Eigenpairs Problem forκ-Hermitian Matrices | Zendy

Fan-Liang Li | Zendy; Xi-Yan Hu | Zendy; Lei Zhang | Zendy

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Left and Right Inverse Eigenpairs Problem forκ-Hermitian Matrices

Author(s) -

Fan-Liang Li,

Xi-Yan Hu,

Lei Zhang

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/230408

Subject(s) - hermitian matrix , inverse , mathematics , product (mathematics) , inverse problem , algorithm , computer science , combinatorics , mathematical analysis , pure mathematics , geometry

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. © 2013 Fan-Liang Li et al.

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