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Left and right inverse eigenpairs problem for \(\kappa\)-Hermitian matrices - MaRDI portal

Left and right inverse eigenpairs problem for \(\kappa\)-Hermitian matrices (Q2375442)

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Left and right inverse eigenpairs problem for \(\kappa\)-Hermitian matrices
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    Left and right inverse eigenpairs problem for \(\kappa\)-Hermitian matrices (English)
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    14 June 2013
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    Summary: The left and right inverse eigenpairs problem for \(\kappa\)-Hermitian matrices and its optimal approximate problem are considered. Based on the special properties of \(\kappa\)-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.
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    inverse eigenpairs problem
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    \(\kappa\)-Hermitian matrices
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    optimal approximate solution
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