Globally Convergent Parallel Algorithm for Zeros of Polynomial Systems

Morgan, Alexander P. and Watson, Layne T. (1986) Globally Convergent Parallel Algorithm for Zeros of Polynomial Systems. Technical Report TR-86-25, Computer Science, Virginia Polytechnic Institute and State University.

Abstract

Certain classes of nonlinear systems of equations, such as polynomial systems, have properties that make them particularly amenable to solution on distributed computing systems. Some algorithms, considered unfavorably on a single processor serial computer, may be excellent on a distributed system. This paper considers the solution of polynomial systems of equations via a globally convergent homotopy algorithm on a hypercube. Some computational results are reported.