Author pages are created from data sourced from our academic publisher partnerships and public sources.

- Publications
- Influence

Numerical methods for unconstrained optimization and nonlinear equations

- J. Dennis, B. Schnabel
- Mathematics, Computer Science
- Prentice Hall series in computational mathematics
- 1 March 1983

Preface 1. Introduction. Problems to be considered Characteristics of 'real-world' problems Finite-precision arithmetic and measurement of error Exercises 2. Nonlinear Problems in One Variable. What… Expand

Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems

This paper proposes an alternate method for finding several Pareto optimal points for a general nonlinear multicriteria optimization problem. Such points collectively capture the trade-off among the… Expand

Mesh Adaptive Direct Search Algorithms for Constrained Optimization

- Charles Audet, J. Dennis
- Mathematics, Computer Science
- SIAM J. Optim.
- 2006

This paper addresses the problem of minimization of a nonsmooth function under general nonsmooth constraints when no derivatives of the objective or constraint functions are available. We introduce… Expand

A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems

A standard technique for generating the Pareto set in multicriteria optimization problems is to minimize (convex) weighted sums of the different objectives for various different settings of the… Expand

Analysis of Generalized Pattern Searches

- Charles Audet, J. Dennis
- Mathematics, Computer Science
- SIAM J. Optim.
- 1 September 2000

This paper contains a new convergence analysis for the Lewis and Torczon generalized pattern search (GPS) class of methods for unconstrained and linearly constrained optimization. This analysis is… Expand

A Characterization of Superlinear Convergence and its Application to Quasi-Newton Methods

- J. Dennis, J. J. Moré
- Mathematics
- 1973

Let F be a mapping from real n-dimensional Euclidean space into itself. Most practical algorithms for finding a zero of F are of the form $x_{k+1} = x_{k} B_{k}^{-1_{Fx_{k}}}$ where $\{B_{k}\}$ is a… Expand

Problem Formulation for Multidisciplinary Optimization

- E. Cramer, J. Dennis, P. Frank, R. Lewis, G. R. Shubin
- Computer Science, Mathematics
- SIAM J. Optim.
- 1 November 1994

This paper is about multidisciplinary (design) optimization, or MDO, the coupling of two or more analysis disciplines with numerical optimization.The paper has three goals. First, it is an expository… Expand

Quasi-Newton Methods, Motivation and Theory

- J. Dennis, J. J. Moré
- Mathematics
- 1 November 1974

This paper is an attempt to motivate and justify quasi-Newton methods as useful modifications of Newton''s method for general and gradient nonlinear systems of equations. References are given to… Expand

An Adaptive Nonlinear Least Square Algorithm

- J. Dennis, D. Gay, Roy E. Walsh
- Mathematics, Computer Science
- TOMS
- 1 August 1977

NL2SOL is a modular program for solving the nonlinear least-squares problem that incorporates a number of novel features. It maintains a secant approximation S to the second-order part of the… Expand