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On linearizations of the quadratic two-parameter eigenvalue problem

✍ Scribed by Michiel E. Hochstenbach; Andrej Muhič; Bor Plestenjak

Book ID: 113772050
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 372 KB
Volume: 436
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2011.07.026

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In this paper, we first give the representation of the general solution of the following inverse monic quadratic eigenvalue problem (IMQEP): given matrices Λ = diag{λ 1 , . . . , λ p } ∈ C p×p , λ i ̸ = λ j for i ̸ = j, i, j = 1, . . . , p, X = [x 1 , . . . , x p ] ∈ C n×p , rank(X ) = p, and both Λ