General Solutions for a Class of Inverse Quadratic Eigenvalue Problems
نویسندگان
چکیده
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) = λM + 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. AMS subject classifications: 65F18
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