Fall 2014

Polynomial Solving Seminar

Oct. 2, 2014 11:00 am12:00 pm

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Michael Shub (City University of New York)


Calvin Lab 116

The Complexity of Homotopy Methods for Solving Systems of Polynomial Equations

A homotopy method begins with a system path f_t and a root z_0 of f_0 and continues the root along f_t to find a root of f_1. We give a complexity upper bound and explore the problem of "finding hay in the haystack",,, that is good starting point.