Inverse spectral problems for a class of damped vibrating systems

• Main Authors: Kuei-Huai Chiang, 江桂槐
• Other Authors: Wen-Wei Lin
• Format: Others
• Language: en_US
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/85359510236314562378

碩士 === 國立清華大學 === 數學系 === 94 === 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.