论文信息 - Continuous modified Newton’s-type method for nonlinear operator equations

Continuous modified Newton’s-type method for nonlinear operator equations

Abstract.A nonlinear operator equation F(x)=0, F:H→H, in a Hilbert space is considered. Continuous Newton’s-type procedures based on a construction of a dynamical system with the trajectory starting at some initial point x0 and becoming asymptotically close to a solution of F(x)=0 as t→+∞ are discussed. Well-posed and ill-posed problems are investigated.

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