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Communication Dans Un Congrès Année : 2020

Computation of the L-norm of finite-dimensional linear systems

Résumé

In this paper, we study the computation of the L-norm for finite-dimensional linear systems. This problem is first reduced to the computation of the maximal x-projection of the real solutions (x,y) of a bivariate polynomial system {P,Py}Z[x,y]. We then apply computer algebra methods to solve the problem. We alternatively study a method based on rational univariate representations, a method based on root separation, and finally a method based on the sign variation of the leading coefficients of the signed subresultant sequence and on the identification of an isolating interval for the maximal x-projection of the real solutions of the system.
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Dates et versions

hal-03073801 , version 1 (16-12-2020)

Identifiants

  • HAL Id : hal-03073801 , version 1

Citer

Yacine Bouzidi, Alban Quadrat, Fabrice Rouillier, Grace Younes. Computation of the L-norm of finite-dimensional linear systems. Maple Conference, Nov 2020, Waterloo, Canada. ⟨hal-03073801⟩
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