Left and Right Inverse Eigenpairs Problem for κ -Hermitian Matrices
Fanliang Li, Xi-Yan Hu, Lei Zhang · Journal of Applied Mathematics · 2013
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.