supported by the National Natural Science Foundation of China(No.11101149);the Basic Academic Discipline Program of Shanghai University of Finance and Economics(No.2013950575)
An improved modal truncation method with arbitrarily high order accuracy is developed for calculating the second- and third-order eigenvalue derivatives and the first- and second-order eigenvector derivatives of an as...
supported by the National Natural Science Foundation of China (Nos. 11061019,10962004,11101200,and 11026175);the Chunhui Program of Ministry of Education of China (No. Z2009-1-01010);the Natural Science Foundation of Inner Mongolia of China (No. 2010MS0110);the Cultivation of Innovative Talent of "211 Project" of Inner Mongolia University
This paper deals with a class of upper triangular infinite-dimensional Hamilto- nian operators appearing in the elasticity theory. The geometric multiplicity and algebraic index of the eigenvalue are investigated. Fur...
Project supported by the Mathematical Tianyuan Foundation of China (No. 10626019)
A procedure is presented for computing the derivatives of repeated eigenvalues and the corresponding eigenvectors of damped systems. The derivatives are calculated in terms of the eigenvalues and eigenvectors of the s...
Every matrix is similar to a matrix in Jordan canonical form,which has very important sense in the theory of linear algebra and its engineering application.For a matrix with multiplex eigenvalues,an algorithm based on...