Accession Number:

AD0787828

Title:

A Simplicial Approximation Algorithm for Solving Systems of Nonlinear Equations.

Descriptive Note:

Technical rept.,

Corporate Author:

CHICAGO UNIV ILL CENTER FOR MATHEMATICAL STUDIES IN BUSINESS AND ECONOMICS

Personal Author(s):

Report Date:

1974-05-01

Pagination or Media Count:

32.0

Abstract:

A simplicial approximation algorithm with a variable initial point and a restart procedure is presented for solving systems of nonlinear equations. The algorithm can employ any labeling function in a broadly defined class of admissible labelings. The generality so obtained furnishes a constructive proof of existence theorems not previously known. For the case of continuously differentiable functions, a labeling is presented which is preferred in the sense that if the system has a nonsingular Jacobian at a zero then the algorithm will converge to the zero if it is started sufficiently close. Author

Subject Categories:

  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE