Simplicial Algorithms on the Simplotope

Timothy M. Doup

ISBN 10: 3540502335 / ISBN 13: 9783540502333

Published by Springer, 1988

About this Item

Simplicial Algorithms on the Simplotope | Timothy M. Doup | Taschenbuch | viii | Englisch | 1988 | Springer | EAN 9783540502333 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.

Seller Inventory # 102144165

Bibliographic Details

• Title: Simplicial Algorithms on the Simplotope
• Publisher: Springer
• Publication Date: 1988
• Language: English
• ISBN 10: 3540502335
• ISBN 13: 9783540502333
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 16D millimeters 235 millimeters width by 155 millimeters height by 16 millimeters depth
• Weight: 423 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

1.1. Introduction Solving systems of nonlinear equations has since long been of great interest to researchers in the field of economics, mathematics, en­ gineering, and many other professions. Many problems such as finding an equilibrium, a zero point, or a fixed point, can be formulated as the problem of finding a solution to a system of nonlinear equations. There are many methods to solve the nonlinear system such as Newton's method, the homotopy method, and the simplicial method. In this monograph we mainly consider the simplicial method. Traditionally, the zero point and fixed point problem have been solved by iterative methods such as Newton's method and modifications thereof. Among the difficulties which may cause an iterative method to perform inefficiently or even fail are: the lack of good starting points, slow convergence, and the lack of smoothness of the underlying function. These difficulties have been partly overcome by the introduction of homo­ topy methods.