Operator Approximation and Its Application to Root Finding and Minimization Problem.
Abstract
The report is concerned with two closely related computational problems: the determination of the unconstrained minimum of a scalar function of n variables, the determination of a zero of an n-vector function of n variables. A variety of methods for approximating nonlinear operators by numerically evaluating the operator is considered. This basic approach leads to a unified derivation of many known conjugate direction algorithms for function minimization. New algorithms are also derived. Particular attention is given to a 'secant-like' class of algrotihms for function minimization. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1973
- Accession Number
- AD0769971
Entities
People
- G. Scott Dixon Jr
Organizations
- University of Michigan