Solving Nonlinear Equations on a Hypercube

by Alexander P. Morgan, GM, Warren, MI, USA,
Layne T. Watson, GM, Warren, MI, USA,



Document Type: Proceeding Paper

Part of: Super and Parallel Computers and Their Impact on Civil Engineering

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.

Subject Headings: Algorithms | Polynomials | Computing in civil engineering | Computer programming | Nonlinear response | Mathematics | Distribution functions

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