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• W1481920855 abstract "Many applications give rise to matrix polynomials whose coefficients have a kind of reversal symmetry, a structure we call palindromic.Several properties of scalar palindromic polynomials are derived,and together with properties of compound matrices, used to establish the Smith form of regular and singular $T$-palindromic matrix polynomialsover arbitrary fields.The invariant polynomials are shown toinherit palindromicity,and their structure is described in detail.Jordan structures of palindromic matrix polynomials are characterized,and necessary conditions for the existence of structured linearizations established.In the odd degree case, a constructive procedure for building palindromic linearizations shows that the necessary conditions are sufficient as well.The Smith form for $*$-palindromic polynomials is also analyzed. Finally, results for palindromic matrix polynomials over fields of characteristic two are presented." @default.
• W1481920855 created "2016-06-24" @default.
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• W1481920855 date "2011-01-01" @default.
• W1481920855 modified "2023-09-24" @default.
• W1481920855 title "Smith forms of palindromic matrix polynomials" @default.
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• W1481920855 doi "https://doi.org/10.13001/1081-3810.1426" @default.
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