The D1 Triangulation In Simplicial Variable Dimension Algorithms On The Unit Simplex For Computing Fixed Points PDF Download

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Triangulations and Simplicial Methods

Triangulations and Simplicial Methods
Author: Chuangyin Dang
Publisher: Springer Science & Business Media
Total Pages: 199
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642487750

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As a new type of technique, simplicial methods have yielded extremely important contributions toward solutions of a system of nonlinear equations. Theoretical investigations and numerical tests have shown that the performance of simplicial methods depends critically on the triangulations underlying them. This monograph describes some recent developments in triangulations and simplicial methods. It includes the D1-triangulation and its applications to simplicial methods. As a result, efficiency of simplicial methods has been improved significantly. Thus more effective simplicial methods have been developed.


Recent Advances in Nonsmooth Optimization

Recent Advances in Nonsmooth Optimization
Author: Dingzhu Du
Publisher: World Scientific
Total Pages: 488
Release: 1995
Genre: Mathematics
ISBN: 9789810222659

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Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods. The field of nonsmooth optimization is significant, not only because of the existence of nondifferentiable functions arising directly in applications, but also because several important methods for solving difficult smooth problems lead directly to the need to solve nonsmooth problems, which are either smaller in dimension or simpler in structure.This book contains twenty five papers written by forty six authors from twenty countries in five continents. It includes papers on theory, algorithms and applications for problems with first-order nondifferentiability (the usual sense of nonsmooth optimization) second-order nondifferentiability, nonsmooth equations, nonsmooth variational inequalities and other problems related to nonsmooth optimization.


Mathematics of Operations Research

Mathematics of Operations Research
Author:
Publisher:
Total Pages: 930
Release: 1991
Genre: Mathematics
ISBN:

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Articles of mathematical interest as well as operations research and management science.