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


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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