Abstract
An implicit function theorem and a resulting modified Newton-Raphson method for roots of functions between finite dimensional spaces, without assuming non-singularity of the Jacobian at the initial approximation.
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Research supported by the Swope Foundation.
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Ben-Israel, A. A modified newton-raphson method for the solution of systems of equations. Israel J. Math. 3, 94–98 (1965). https://doi.org/10.1007/BF02760034
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DOI: https://doi.org/10.1007/BF02760034