Triangulations and Simplicial Methods

Overview

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 ...
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Overview

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.
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Product Details

Table of Contents

Contents: Introduction.- Preliminaries.- Existing Triangulations.- The D1-Triangulation of Rn.- The T1-Triangulation of the Unit Simplex.- The D1-Triangulation in Variable Dimension Algorithms on the Unit Simplex.- The D1-Triangulation in Variable Dimension Algorithms on the Euclidean Space.- The D3-Triangulation for Simplicial Homotopy Algorithms.- The D2-Triangulation for Simplicial Homotopy Algorithms.- Conclusions.
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