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- W2035262893 abstract "The inverse eigenvalue problem for T-alternating matrix polynomials over arbitrary algebraically closed fields of characteristic different from two is considered. The main result shows that the necessary conditions obtained in [9] for a matrix polynomial to be the Smith form of a T-alternating matrix polynomial are under mild conditions also sufficient to be the Smith form of a T-alternating matrix polynomial with invertible leading coefficient which is additionally in anti-triangular form. In particular, this result implies that any T-alternating matrix polynomial with invertible leading coefficient is equivalent to a T-alternating matrix polynomial in anti-triangular form that has the same finite and infinite elementary divisors as the original matrix polynomial. Finally, the inverse eigenvalue problem for T-palindromic matrix polynomials is considered excluding the case that both +1 and −1 are eigenvalues." @default.
- W2035262893 created "2016-06-24" @default.
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- W2035262893 date "2014-07-01" @default.
- W2035262893 modified "2023-09-30" @default.
- W2035262893 title "On the inverse eigenvalue problem for T -alternating and T -palindromic matrix polynomials" @default.
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- W2035262893 doi "https://doi.org/10.1016/j.laa.2014.03.037" @default.
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