Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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SEMILOCAL CONVERGENCE THEOREMS FOR A CERTAIN CLASS OF ITERATIVE PROCEDURES

  • Ioannis K. Argyros (Department of Mathematics Cameron University, U.S.A.)
  • Published : 2000.01.01

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Abstract

We provide semilocal convergence theorems for Newton-like methods in Banach space using outer and generalized inverses. In contrast to earlier results we use hypotheses on the second instead of the first Frechet-derivative. This way our Newton-Kantorovich hypotheses differ from earlier ones. Our results can be used to solve undetermined systems, nonlinear least square problems and ill-posed nonlinear operator equations.

Keywords

References

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