In:
Journal of Applied Mathematics, Wiley, Vol. 2014 ( 2014), p. 1-9
Abstract:
Given k pairs of complex numbers and vectors (closed under conjugation), we consider the inverse quadratic eigenvalue problem of constructing n × n real matrices M , D , G , and K , where M 〉 0 , K and D are symmetric, and G is skew-symmetric, so that the quadratic pencil Q ( λ ) = λ 2 M + λ ( D + G ) + K has the given k pairs as eigenpairs. First, we construct a general solution to this problem with k ≤ n . Then, with the special properties D = 0 and K 〈 0 , we construct a particular solution. Numerical results illustrate these solutions.
Type of Medium:
Online Resource
ISSN:
1110-757X
,
1687-0042
Language:
English
Publisher:
Wiley
Publication Date:
2014
detail.hit.zdb_id:
2062866-3
detail.hit.zdb_id:
2578385-3
SSG:
17,1
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