Solving Polynomial Systems Equation by Equation

Details Solving Polynomial Systems Equation by Equation Solving Polynomial Systems Equation by Equation

2005-03-29

arxiv.org/abs/math/0503688v1

Mathematics

Numerical Analysis

19 pages (Latex File and one eps file)

Scientific paper

By a numerical continuation method called a diagonal homotopy we can compute the intersection of two positive dimensional solution sets of polynomial systems. This paper proposes to use this diagonal homotopy as the key step in a procedure to intersect general solution sets. Of particular interest is the special case where one of the sets is defined by a single polynomial equation. This leads to an algorithm for finding a numerical representation of the solution set of a system of polynomial equations introducing the equations one-by-one. Preliminary computational experiments show this approach can exploit the special structure of a polynomial system, which improves the performance of the path following algorithms.

Affiliated with

Also associated with

No associations

Rating

Solving Polynomial Systems Equation by Equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Solving Polynomial Systems Equation by Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solving Polynomial Systems Equation by Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-161862