John E. Dennis | Academic Influence

Why Is John E. Dennis Influential?

According to Wikipedia, John Emory Dennis, Jr. , is an American mathematician who has made major contributions in mathematical optimization. Dennis is currently a Noah Harding professor emeritus and research professor in the department of computational and applied mathematics at Rice University in Houston, Texas. His research interests include optimization in engineering design. He is the founder and editor-in-chief of the SIAM Journal on Optimization. In 2010, he was elected a Fellow of the Society for Industrial and Applied Mathematics.

John E. Dennis's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

Numerical methods for unconstrained optimization and nonlinear equations (7506)
Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems (1783)
Quasi-Newton Methods, Motivation and Theory (1335)
A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems (1141)
Mesh Adaptive Direct Search Algorithms for Constrained Optimization (1074)
A rigorous framework for optimization of expensive functions by surrogates (1027)
Analysis of Generalized Pattern Searches (923)
An Adaptive Nonlinear Least-Squares Algorithm (828)
Problem Formulation for Multidisciplinary Optimization (639)
A Characterization of Superlinear Convergence and its Application to Quasi-Newton Methods (632)
A trust-region framework for managing the use of approximation models in optimization (631)
On the Local and Superlinear Convergence of Quasi-Newton Methods (438)
Algorithm 573: NL2SOL—An Adaptive Nonlinear Least-Squares Algorithm [E4] (390)
Derivative free analogues of the Levenberg-Marquardt and Gauss algorithms for nonlinear least squares approximation (370)
A Pattern Search Filter Method for Nonlinear Programming without Derivatives (298)
Direct Search Methods on Parallel Machines (263)
OrthoMADS: A Deterministic MADS Instance with Orthogonal Directions (198)
NORMAL-BOUNDARY INTERSECTION: AN ALTERNATE METHOD FOR GENERATING PARETO OPTIMAL POINTS IN MULTICRITERIA OPTIMIZATION PROBLEMS (194)
A trust region strategy for nonlinear equality constrained op-timization (184)
Two new unconstrained optimization algorithms which use function and gradient values (183)
A Progressive Barrier for Derivative-Free Nonlinear Programming (181)
Least Change Secant Updates for Quasi-Newton Methods (180)
Pattern Search Algorithms for Mixed Variable Programming (179)
Direct Search Methods on Parallel Machines (165)
Multidirectional search: a direct search algorithm for parallel machines (161)
Optimal Aeroacoustic Shape Design Using the Surrogate Management Framework (152)
Trust-Region Interior-Point SQP Algorithms for a Class of Nonlinear Programming Problems (149)
Toward a Unified Convergence Theory for Newton-Like Methods (142)
The Algebraic Theory of Matrix Polynomials (127)
Convergence Theorems for Least-Change Secant Update Methods, (125)
A Global Convergence Theory for General Trust-Region-Based Algorithms for Equality Constrained Optimization (125)
Optimization on Microcomputers: The Nelder-Mead Simplex Algorithm (117)
Optimization Using Surrogate Objectives on a Helicopter Test Example (114)
Pattern search algorithms for mixed variable general constrained optimization problems (114)
Trailing-edge noise reduction using derivative-free optimization and large-eddy simulation (112)
Sizing and least-change secant methods (109)
Techniques for nonlinear least squares and robust regression (108)
MANAGING APPROXIMATION MODELS IN OPTIMIZATION (107)
Comparison of derivative-free optimization methods for groundwater supply and hydraulic capture community problems (101)
A view of unconstrained optimization (97)
On the Superlinear and Quadratic Convergence of Primal-Dual Interior Point Linear Programming Algorithms (92)
A Trust-Region Approach to Nonlinear Systems of Equalities and Inequalities (82)
Globalization strategies for Mesh Adaptive Direct Search (80)
Mixed Variable Optimization of the Number and Composition of Heat Intercepts in a Thermal Insulation System (79)
Generalized pattern searches with derivative information (73)
Convergence theory for the structured BFGS secant method with an application to nonlinear least squares (73)
A framework for managing models in nonlinear optimization of computationally expensive functions (66)
On Alternative Problem Formulations for Multidisciplinary Design Optimization (65)
Algorithms for solvents of matrix polynomials (64)
Parallel Space Decomposition of the Mesh Adaptive Direct Search Algorithm (64)
Filter Pattern Search Algorithms for Mixed Variable Constrained Optimization Problems (60)
10. Nonlinear Least Squares (59)
Using simplex gradients of nonsmooth functions in direct search methods (55)
On the Convergence Theory of Trust-Region-Based Algorithms for Equality-Constrained Optimization (53)
On the Convergence of Broyden's Method for Nonlinear Systems of Equations (52)
A unified approach to global convergence of trust region methods for nonsmooth optimization (51)
SOME COMPUTATIONAL TECHNIQUES FOR THE NONLINEAR LEAST SQUARES PROBLEM (45)
A stability analysis for perturbed nonlinear iterative methods (43)
Managing surrogate objectives to optimize a helicopter rotor design - Further experiments (41)
Trust-Region Interior-Point Algorithms for Minimization Problems with Simple Bounds (40)
Generalized conjugate directions (40)
Inaccuracy in quasi-Newton methods: Local improvement theorems (40)
Erratum: Mesh Adaptive Direct Search Algorithms for Constrained Optimization (40)
Suppression of vortex-shedding noise via derivative-free shape optimization (36)
A NEW DERIVATION OF SYMMETRIC POSITIVE DEFINITE SECANT UPDATES (33)
A global convergence theory for a class of trust region algorithms for constrained optimization (32)
Direct secant updates of matrix factorizations (30)
A variable-metric variant of the Karmarkar algorithm for linear programming (29)
A Trust Region Strategy for Equality Constrained Optimization (28)
A user's guide to nonlinear optimization algorithms (24)
Direct Search Methods for Nonlinearly Constrained Optimization Using Filters and Frames (24)
An Unconstrained Optimization Algorithm Which Uses Function and Gradient Values (22)
Triangular Decomposition Methods for Solving Reducible Nonlinear Systems of Equations (22)
A robust trust region algorithm for nonlinear programming (22)
Chapter I A view of unconstrained optimization (21)
On the Matrix Polynomial, Lambda-Matrix and Block Eigenvalue Problems (21)
Multilevel algorithms for nonlinear optimization (20)
Approximation model management for optimization (18)
Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Method (18)
A New Algorithm for Nonlinear Least Squares Curve Fitting (18)
ALGORITHMS FOR BILEVEL OPTIMIZATION (17)
Pattern search in the presence of degenerate linear constraints (16)
Quantitative Object Reconstruction Using Abel Transform X-Ray Tomography and Mixed Variable Optimization (15)
On Some Methods Based on Broyden's Secant Approximation to the Hessian (14)
Trade-off studies in blackbox optimization (14)
On the Second Order Convergence of Brown's Derivative-Free Method for Solving Simultaneous Nonlinear Equations. (14)
Problem formulations for systems of systems (14)
A Curvilinear Search Using Tridiagonal Secant Updates for Unconstrained Optimization (13)
Nonlinear Programming by Mesh Adaptive Direct Searches (12)
A new type of Chebyshev quadrature (11)
Least-Change Sparse Secant Update Methods with Inaccurate Secant Conditions (11)
Parallel Implementations Of The Nelder-Mead Simplex Algorithm For Unconstrained Optimization (11)
An efficient class of direct search surrogate methods for solving expensive optimization problems with CPU-time-related functions (10)
A global convergence theory for a general class of trust region algorithms for equality constrained optimization (10)
A New Nonlinear Equations Test Problem (9)
Surrogate Modelling and Space Mapping for Engineering Optimization: A Summary of the Danish Technical University November 2000 Workshop (9)
Optimization of Hollow-Fiber Design and Low-Pressure Membrane System Operation (8)
On Newton-like iteration functions: General convergence theorems and a specific algorithm (8)
MoVars: Multidisciplinary Optimization Via Adaptive Response Surfaces (8)
A Memoryless Augmented Gauss-Newton Method for Nonlinear Least-Squares Problems (7)
Constrained Aeroacoustic Shape Optimization Using the Surrogate Management Framework (7)
Optimization and geophysical inverse problems (6)
Parallel Block Triangular Decompositions for Solving Sparse Nonlinear Systems of Equations (6)
Local Convergence Theorems for Quasi-Newton Methods (6)
A hybrid algorithm for solving sparse nonlinear systems of equations (6)
Parallel continuous optimization (5)
Erratum: Convergence Theorems for Least-Change Secant Update Methods (5)
Algorithms for nonlinear problems which use discrete approximations to derivatives (5)
Comparing problem formulations for coupled sets of components (5)
Pattern search in the presence of degeneracy (5)
Nonlinear Parameter Optimization (3)
9. Secant Methods for Unconstrained Minimization (3)
3. Numerical Linear Algebra Background (2)
Derivative-free optimization methods for surface structure determination of nanosystems (2)
Pattern search methods for linearly constrained minimization in the presence of degeneracy (2)
Toward Direct Sparse Updates of Cholesky Factors (2)
Supplementary terminology for nonlinear iterative methods (2)
On the Convergence of Mixed Integer Pattern Search Algorithms on the Convergence of Mixed Integer Pattern Search Algorithms (2)
Some Minimal Properties of the Trapezoidal Rule (2)
Pattern Search Methods in the Presence of Degeneracy (1)
Optimization Tools for Engineering Design Using Surrogate Functions (1)
Curve tailoring with interactive computer (1)
Research on trust-region algorithms for nonlinear programming (1)
A new parallel optimization algorithm for parameter identification in ordinary differential equations (1)
Numerical Optimization At the Center for Research On Parallel Computation (1)
Solving Computationally Expensive Optimization Problems with CPU Time-Correlated Functions (1)
5. Newton's Method for Nonlinear Equations and Unconstrained Minimization (1)
A Continuous Analogue Analysis of Nonlinear Iterative Methods (1)
IC S MULTILEVEL ALGORITHMS FOR NONLINEAR OPTIMIZATION (1)
A user's guide to nonlinear optimization algorithms (1)
An Experimental Computer Network to Support Numerical Computation (1)
Pattern Search for Mixed Variable Optimization Problems (1)
4. Multivariable Calculus Background (1)
A Class of General Trust-region Multilevel Algorithms for Nonlinear Constrained Optimization: Global Convergence Analysis a Class of General Trust-region Multilevel Algorithms for Nonlinear Constrained Optimization: Global Convergence Analysis (0)
Comparing Problem Formulation for Coupled Sets of Component (0)
Industrial Strength Derivative-Free Optimization (0)
Parallel Implementations of an Oil Refining Simulation (0)
Integrated Approaches to Parallelism in Optimization and the Solution of Inverse Problems (0)
The Combined Schubert/Secant Finite-Difference Algorithm for Solving Sparse Nonlinear Systems of Equations (0)
Variable Metric Secant Updates from Matrix Factorizations. (0)
A Rigorous Framework for Optimizationof Expensive Functions by SurrogatesAndrew (0)
2. Nonlinear Problems in One Variable (0)
Nominations for 1997 elections (0)
Cost Modeling and Optimization Considerations for Low Pressure Membrane Filtration Systems (0)
Some Issues in Nonlinear Programming Algorithms for Problems with Simulation Constraints. (0)
SIAG/OPT Views-and-News pdfsubject (0)
Optimization Using SurrogateObjectives On a Helicopter (0)
6. Globally Convergent Modifications of Newton's Method (0)
Editorial — Special Issue on Surrogate Optimization (0)
New Meta Algorithms for Engineering Design Using Surrogate Functions (0)
Research on trust-region algorithms for nonlinear programming. Progress report, January 1, 1991--December 31, 1991 (0)
On the Local Convergence of Nonlinear Successive Overrelaxation and Related Methods (0)
Quasi-Newton methods for large scale nonlinear equations and constrained optimization: Progress report, July 1, 1987-June 30, 1988 (0)
Optimization and Geophysical Inverse Problems October 2000 (0)
Iterative Methods for Large Linear and Nonlinear Least Squares Problems. (0)
Managing the Choice of Surrogate Variables and the Use of Approximation Models to Optimize Expensive Functions (0)
A Computational Note on Markov Decision Processes Without Discounting (0)
Recent Advances in Optimization (July 24-26th, 2013) (0)
Research on trust-region algorithms for nonlinear programming. Final technical report, 1 January 1990--31 December 1992 (0)
Sensitivity to Constraints in Blackbox Optimization (0)
Mixed variable optimization of thenumber and composition of heat interceptsin a thermal insulation systemMichael Kokkolaras (0)
11. Methods for Problems with Special Structure (0)
Parallel Structured Optimization Algorithms for Inverse Problems (0)
Characteristic Shape Sequences for Measures on Images (0)
8. Secant Methods for Systems of Nonlinear Equations (0)
A Rigorous Framework forOptimization of ExpensiveFunctions by SurrogatesAndrew (0)
7. Stopping, Scaling, and Testing (0)
Research in Constrained Optimization (0)
Algorithms for Blackbox Optimization using Surrogate Function (0)

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