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An Inverse Eigenvalue Problem of Hermite-Hamilton Matrices in Structural Dynamic Model Updating

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  • Linlin Zhao
  • Guoliang Chen

Abstract

We first consider the following inverse eigenvalue problem: given and a diagonal matrix , find Hermite-Hamilton matrices and such that . We then consider an optimal approximation problem: given Hermitian matrices and , find a solution of the above inverse problem such that . By using the Moore-Penrose generalized inverse and the singular value decompositions, the solvability conditions and the representations of the general solution for the first problem are derived. The expression of the solution to the second problem is presented.

Suggested Citation

  • Linlin Zhao & Guoliang Chen, 2010. "An Inverse Eigenvalue Problem of Hermite-Hamilton Matrices in Structural Dynamic Model Updating," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-11, June.
    • Handle: RePEc:hin:jnlmpe:837527
    DOI: 10.1155/2010/837527
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