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Left and Right Inverse Eigenpairs Problem for -Hermitian Matrices

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  • Fan-Liang Li
  • Xi-Yan Hu
  • Lei Zhang

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.

Suggested Citation

  • Fan-Liang Li & Xi-Yan Hu & Lei Zhang, 2013. "Left and Right Inverse Eigenpairs Problem for -Hermitian Matrices," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-6, April.
    • Handle: RePEc:hin:jnljam:230408
    DOI: 10.1155/2013/230408
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