Algebraic Systems and Computational Complexity Theory

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

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Hardcover | 1 November 1994

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260 Pages

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23.39 x 15.6 x 1.6

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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.

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Non-Fiction Mathematics Algebra Computing & I.T.Computer Science Mathematical Theory of Computation Topology Calculus & Mathematical Analysis Numerical Analysis Computer Programming & Software Development Algorithms & Data Structures

Kuhn's algorithm for algebraic equations	p. 1
Efficiency of Kuhn's algorithm	p. 31
Newton method and approximate zeros	p. 57
A complexity comparison of Kuhn's algorithm and Newton method	p. 79
Incremental algorithms and cost theory	p. 91
Homotopy algorithms	p. 147
Probabilistic discussion on zeros of polynomial mappings	p. 175
Piecewise linear algorithms	p. 205
References	p. 237
Index	p. 241
Acknowledgments	p. 244
Table of Contents provided by Blackwell. All Rights Reserved.

Algebraic Systems and Computational Complexity Theory

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