A Simplicial Approximation Algorithm for Solving Systems of Nonlinear Equations.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1974
- Accession Number
- AD0787828
Entities
People
- F. J. Gould
- J. W. Tolle
- M. L. Fisher
Organizations
- University of Chicago