Palindromic linearizations of a matrix polynomial of odd degreee obtained from Fiedler pencils with repetition
نویسندگان
چکیده
Many applications give rise to structured, in particular T-palindromic, matrix polynomials. In order to solve a polynomial eigenvalue problem P (λ)x = 0, where P (λ) is a T-palindromic matrix polynomial, it is convenient to use palindromic linearizations to ensure that the symmetries in the eigenvalues, elementary divisors, and minimal indices of P (λ) due to the palindromicity are preserved. In this paper, new T-palindromic strong linearizations valid for all palindromic matrix polynomials of odd degree are constructed. These linearizations are formulated in terms of Fiedler pencils with repetition, a new family of companion forms that was obtained recently by Antoniou and Vologiannidis.
منابع مشابه
Palindromic Linearizations of a Matrix Polynomial of Odd Degree Obtained from Fiedler Pencils with Repetition
Many applications give rise to structured, in particular T-palindromic, matrix polynomials. In order to solve a polynomial eigenvalue problem P (λ)x = 0, where P (λ) is a T-palindromic matrix polynomial, it is convenient to use palindromic linearizations to ensure that the symmetries in the eigenvalues, elementary divisors, and minimal indices of P (λ) due to the palindromicity are preserved. I...
متن کاملEla Palindromic Linearizations of a Matrix Polynomial of Odd Degree Obtained from Fiedler Pencils with Repetition
Many applications give rise to structured, in particular T-palindromic, matrix polynomials. In order to solve a polynomial eigenvalue problem P (λ)x = 0, where P (λ) is a T-palindromic matrix polynomial, it is convenient to use palindromic linearizations to ensure that the symmetries in the eigenvalues, elementary divisors, and minimal indices of P (λ) due to the palindromicity are preserved. I...
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