Algebraic Systems of Equations and Computational Complexity Theory (Mathematics and Its Applications, 269)

Wang, Z., Xu, S., Gao, T.

ISBN 10: 9401043426 / ISBN 13: 9789401043427

Published by Springer, 2012

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Bibliographic Details

• Title: Algebraic Systems of Equations and Computational Complexity Theory (Mathematics and Its Applications, 269)
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 9401043426
• ISBN 13: 9789401043427
• Binding: Paperback
• Condition: Like New
• Book Type: book

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Synopsis

Significant progress has been made during the last fifteen years in the solution of nonlinear systems, particularly in computing fixed points, solving systems of nonlinear equations and applications to equilibrium models.
This volume presents a self-contained account of recent work on simplicial and continuation methods applied to the solution of algebraic equations. The contents are divided into eight chapters. Chapters 1 and 2 deal with Kuhn's algorithm; Chapter 3 considers Newton's method, and a comparison between Kuhn's algorithm and Newton's method is presented in Chapter 4. The following four chapters discuss respectively, incremental algorithms and their cost theory, homotopy algorithms, zeros of polynomial mapping, and piecewise linear algorithms.
For researchers and graduates interested in algebraic equations and computational complexity theory.