A kind of jacobi matrices inverse eigenvalue problems on engineering design

HE Wen-yang · Qiye jishu kaifa · 2007

Jacobi matrix inverse eigenvalue problems have great applications in structural design, system identification, engineering design and vibration project. In this paper, an inverse eigenvalue problem of constructing a Jacobi matrix from its mixedtype eigenpairs is considered. The necessary and sufficient condi- tions for the existence and uniqueness of the unique solution are derived.

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