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- W2026712704 abstract "Let A0 be a transformation on a finite dimensional Hilbert space which is self-adjoint in an indefinite scalar product generated by G0 (G∗0 and invertible). The spectrum of A0 is real when A0 is G0-strongly definitizable. The problems considered here concern the number of real eigenvalues of a G-self-adjoint transformation A where A and G are low rank perturbations of A0 and G0. A notion called the “order of neutrality” of A with respect to G is introduced which is relevant to this problem area. Using linearization as well as direct methods, results are obtained concerning self-adjoint matrix polynomials which are low rank perturbationsof (suitably defined) definitizable matrix polynomials. Applications are made to quadratic matrix polynomials arising in the study of damped systems and gyroscopic systems." @default.
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- W2026712704 date "1994-01-01" @default.
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- W2026712704 title "Low rank perturbations of strongly definitizable transformations and matrix polynomials" @default.
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- W2026712704 doi "https://doi.org/10.1016/0024-3795(94)90479-0" @default.
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