Items related to Homotopy Methods and Global Convergence
Synopsis
Piecewise Smooth Homotopies.- Global Convergence Rates of Piecewise-Linear Continuation Methods: A Probabilistic Approach.- Relationships between Deflation and Global Methods in the Problem of Approximating Additional Zeros of a System of Nonlinear Equations.- Smooth Homotopies for Finding Zeros of Entire Functions.- Where Solving for Stationary Points by LCPs Is Mixing Newton Iterates.- On the Equivalence of the Linear Complementarity Problem and a System of Piecewise Linear Equations: Part II.- Relations between PL Maps, Complementary Cones, and Degree in Linear Complementarity Problems.- A Note on Stepsize Control for Numerical Curve Following.- On a Class of Linear Complementarity Problems of Variable Degree.- Linear Complementarity and the Degree of Mappings.- Sub- and Supersolutions for Nonlinear Operators: Problems of Monotone Type.- An Efficient Procedure for Traversing Large Pieces in Fixed Point Algorithms.- The Application of Fixed Point Methods to Economics.- On a Theory of Cost for Equation Solving.- Algorithms for the Linear Complementarity Problem Which Allow an Arbitrary Starting Point.- Engineering Applications of the Chow-Yorke Algorithm.- Availability of Computer Codes for Piecewise-Linear and Differentiable Homotopy Methods.
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