Left and Right Inverse Eigenpairs Problem for κ-Hermitian Matrices

Left and Right Inverse Eigenpairs Problem for κ-Hermitian Matrices

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 t...

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Veröffentlicht in:Journal of Applied Mathematics 2013-01, Vol.2013 (2013), p.116-121-112
Hauptverfasser: Li, Fan-Liang, Zhang, Lei, Hu, Xi-Yan
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Eigenvalues
Equivalence
Functions, Inverse
Inverse
Mathematical analysis
Mathematical research
Matrices
Matrices (mathematics)
Matrix methods
Optimization
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Zusammenfassung: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.
ISSN:1110-757X
1687-0042
DOI:10.1155/2013/230408