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Titlebook: Homotopy Methods and Global Convergence; B. Curtis Eaves,Floyd J. Gould (Director),Michael Book 1983 Plenum Press, New York 1983 Potentia

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Sub- and Supersolutions for Nonlinear Operators: Problems of Monotone Type,In this paper we describe for a variety of non-linear problems F:D → R., D open in R., a discrete programming approach for the calculation of alternating approximations for a zero z* :
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Algorithms for the Linear Complementarity Problem Which Allow an Arbitrary Starting Point,The linear complementarity problem with data q ɛ R. and M ɛ R. consists in finding two vectory s and z in R. such that(1.1) .(1.2) .(1.3) ..
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Where Solving for Stationary Points by LCPs is Mixing Newton Iterates,tively solving the linearized problem which is a linear complementarity problem (LCP). The procedure is shown to be a mixing of a finite number of Newton methods all converging to the same points, and consequently, to have convergence properties like Newton’s methods.
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https://doi.org/10.1007/978-1-4613-3572-6Potential; calculus; equation; function; mathematics; variable
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978-1-4613-3574-0Plenum Press, New York 1983
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