Lecture Notes in Economics and Mathematical Systems

Simplicial Algorithms on the Simplotope

Authors: Doup, Timothy M.

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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.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-642-46651-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.99
price for USA in USD
  • ISBN 978-3-540-50233-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Simplicial Algorithms on the Simplotope
Authors
Series Title
Lecture Notes in Economics and Mathematical Systems
Series Volume
318
Copyright
1988
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-46651-9
DOI
10.1007/978-3-642-46651-9
Softcover ISBN
978-3-540-50233-3
Series ISSN
0075-8442
Edition Number
1
Number of Pages
VIII, 262
Topics