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- W4220801048 abstract "For a Hermitian matrix H∈Cn,n and symmetric matrices S0,S1,…,Sk∈Cn,n, we consider the problem of computing the supremum of {v⁎Hvv⁎v:v∈Cn∖{0},vTSiv=0fori=0,…,k}. For this, we derive an estimation in the form of minimizing the second largest eigenvalue of a parameter depending Hermitian matrix, which is exact when the eigenvalue at the optimal is simple. The results are then applied to compute the eigenvalue backward errors of higher degree matrix polynomials with T-palindromic, T-antipalindromic, T-even, T-odd, and skew-symmetric structures. The results are illustrated by numerical experiments." @default.
- W4220801048 created "2022-04-03" @default.
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- W4220801048 date "2022-07-01" @default.
- W4220801048 modified "2023-09-27" @default.
- W4220801048 title "Optimizing the Rayleigh quotient with symmetric constraints and its application to perturbations of structured polynomial eigenvalue problems" @default.
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- W4220801048 doi "https://doi.org/10.1016/j.laa.2022.03.016" @default.
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