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Linear system theory meets polynomial system solving

Author(s):

Ph. Rostalski
Conference/Journal:

IfA Internal Seminar Series
Abstract:

In this talk I would like to highlight some similarities between linear system theory and the treatment of polynomials in algebraic geometry. We will discuss: - Euclidean algorithm and simulation (1D) - Gröbner basis and simulation (ND) - System matrices and roots (1D and ND) - Identification and (real) root finding (1D and ND) After introducing the main ideas on 1D linear systems and univariate polynomials, I will focus on extensions to ND-systems and multivariate polynomials.

Year:

2008
Type of Publication:

(06)Talk
Supervisor:

M. Morari

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