Algebraic systems of equations and computational complexity theory (Mathematics and its application. China series) - Hardcover

Wang, Tse-kʻo

 
9787030039446: Algebraic systems of equations and computational complexity theory (Mathematics and its application. China series)

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.

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9780792325338: Algebraic Systems and Computational Complexity Theory (Mathematics and Its Applications)

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ISBN 10:  0792325338 ISBN 13:  9780792325338
Publisher: Springer, 1994
Hardcover