On the Complexity Exponent of Polynomial System Solving
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DOI: 10.1007/s10208-020-09453-0
Abstract: We present a probabilistic Las Vegas algorithm for solving sufficiently generic square polynomial systems over finite fields. We achieve a nearly quadratic running time in the number of solutions, for densely represented input polynomials. We… read more here.
Keywords: complexity exponent; exponent polynomial; polynomial system; complexity ... See more keywords
Stability of Non-Hyperbolic Equilibrium Point for Polynomial System of Differential Equations
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DOI: 10.18421/tem103-52
Abstract: In this paper, a polynomial system of plane differential equations is observed. The stability of the non-hyperbolic equilibrium point was analyzed using normal forms. The nonlinear part of the differential equation system is simplified to… read more here.
Keywords: polynomial system; system; stability non; non hyperbolic ... See more keywords