這篇文章主要是在探討利用Jordan Pair以及Jordan Triple反求原本阻尼系統的方法,之後的重點會著重於對稱的系統上,找出其固定的演算法,並且證明給定不同類型的eigen-information時,能反求出對稱系統的條件分別有哪些.

Solving the inverse spectral problems for damped vibrating systems, the Jordan pair and Jordan triple play an important role of the algorithm given by the conclusions in [08] and [11]. Although this topic had been analyzed in these papers, the method for re-constructing the original systems is calculating the eigenvectors matrix such that it has some special properties first, and then use it to solve the inverse spectral problem.
In this paper we will restudy this part without choosing any special eigenvectors. Reversely, we will try to find more powerful conditions for this algorithm in the general sense, and explain the kind of eigen-information which can be solved by this algorithm.

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