Volume 4, Issue 1
General Solutions for a Class of Inverse Quadratic Eigenvalue Problems

Xiaoqin Tan and Li Wang

10.4208/eajam.100413.021013a

East Asian J. Appl. Math., 4 (2014), pp. 69-81.

Preview Full PDF BiBTex 220 444
  • Abstract

Based on various matrix decompositions, we compare different techniques for solving the inverse quadratic eigenvalue problem, where n × n real symmetric matrices M, C and K are constructed so that the quadratic pencil Q(λ) = λ2M + λC + K yields good approximations for the given k eigenpairs. We discuss the case where M is positive definite for 1 ≤ k ≤ n, and a general solution to this problem for n+1 ≤ k ≤ 2n. The efficiency of our methods is illustrated by some numerical experiments.

  • History

Published online: 2018-02

  • AMS Subject Headings

65F18

  • Cited by