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Chapter 2: Basic Polynomial Continuation

Published in Society for Industrial and Applied Mathematics eBooks • Jan 1, 2013
Authors:
Daniel J. Bates
,
Andrew J. Sommese
,
Jonathan D. Hauenstein

Abstract

This chapter describes the fundamental computation of numerical algebraic geometry: homotopy continuation. We follow the historical development of the subject by starting with the problem of finding a finite set of solutions of a square system,

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