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Creators/Authors contains: "Ponce_Carrion, Francisco"

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  1. ; ; ; (, Maple Transactions)
    Newton's method is a classical iterative approach for computing solutions to nonlinear equations. To overcome some of its drawbacks, one often considers a continuous adjoint form of Newton's method. This paper investigates the geometric structure of the trajectories produced by the continuous adjoint Newton's method for bivariate quadratics, a system of two quadratic polynomials in two variables, via eigenanalysis at its equilibrium points. The main ideas are illustrated using plots generated by a Maple program. 
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    Free, publicly-accessible full text available August 1, 2026