On an application of dynamical systems theory to determine all the zeros of a vector function

DOI10.1016/0022-247X(90)90103-MzbMath0722.65029MaRDI QIDQ756377

Pedro J. Zufiria, Ramesh S. Guttalu

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsstrict Lyapunov functionconstructive methodsdomains of attractionzeros of a vector function

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

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A cell exclusion algorithm for determining all the solutions of a nonlinear system of equations, Improved optimal control methods based upon the adjoining cell mapping technique, A general CDC formulation for specializing the cell exclusion algorithms of finding all zeros of vector functions, Existence results on Lagrange multiplier approach for gradient flows and application to optimization, On a planar six-neighbor theorem and its application, A computational method for finding all the roots of a vector function, Stability of controllers with on-line computations, BIFURCATION TAILORING VIA NEWTON FLOW-AIDED ADAPTIVE CONTROL, Stability of singular equilibria in quasilinear implicit differential equations, Approximating roots of nonlinear systems by \(\alpha\)-dense curves, Weak singularities and the continuous Newton method, On the role of singularities in Branin's method from dynamic and continuation perspectives., Discretization of implicit ODEs for singular root-finding problems

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