# John E. Dennis

#51,591

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American mathematician

## John E. Dennis's AcademicInfluence.com Rankings

John E. Dennismathematics Degrees

Mathematics

#3677

World Rank

#5382

Historical Rank

#1339

USA Rank

Measure Theory

#661

World Rank

#902

Historical Rank

#267

USA Rank

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Mathematics

## John E. Dennis's Degrees

- PhD Mathematics Stanford University
- Masters Mathematics Stanford University
- Bachelors Mathematics University of California, Berkeley

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## Why Is John E. Dennis Influential?

(Suggest an Edit or Addition)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

### Published Works

- Numerical methods for unconstrained optimization and nonlinear equations (1983) (7964)
- Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems (1998) (2074)
- Quasi-Newton Methods, Motivation and Theory (1974) (1428)
- Mesh Adaptive Direct Search Algorithms for Constrained Optimization (2006) (1224)
- A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems (1997) (1218)
- A rigorous framework for optimization of expensive functions by surrogates (1998) (1102)
- Analysis of Generalized Pattern Searches (2000) (987)
- An Adaptive Nonlinear Least-Squares Algorithm (1977) (865)
- A Characterization of Superlinear Convergence and its Application to Quasi-Newton Methods (1973) (688)
- A trust-region framework for managing the use of approximation models in optimization (1997) (681)
- Problem Formulation for Multidisciplinary Optimization (1994) (678)
- On the Local and Superlinear Convergence of Quasi-Newton Methods (1973) (469)
- Direct Search Methods on Parallel Machines (1991) (411)
- Algorithm 573: NL2SOL—An Adaptive Nonlinear Least-Squares Algorithm [E4] (1981) (389)
- A Pattern Search Filter Method for Nonlinear Programming without Derivatives (2001) (331)
- A trust region strategy for nonlinear equality constrained op-timization (1984) (234)
- A Progressive Barrier for Derivative-Free Nonlinear Programming (2007) (231)
- OrthoMADS: A Deterministic MADS Instance with Orthogonal Directions (2008) (231)
- NORMAL-BOUNDARY INTERSECTION: AN ALTERNATE METHOD FOR GENERATING PARETO OPTIMAL POINTS IN MULTICRITERIA OPTIMIZATION PROBLEMS (1996) (212)
- Pattern Search Algorithms for Mixed Variable Programming (2000) (191)
- Two new unconstrained optimization algorithms which use function and gradient values (1979) (189)
- Least Change Secant Updates for Quasi-Newton Methods (1978) (185)
- Optimal Aeroacoustic Shape Design Using the Surrogate Management Framework (2003) (172)
- Multidirectional search: a direct search algorithm for parallel machines (1989) (158)
- Trust-Region Interior-Point SQP Algorithms for a Class of Nonlinear Programming Problems (1998) (156)
- Toward a Unified Convergence Theory for Newton-Like Methods (1971) (150)
- Convergence Theorems for Least-Change Secant Update Methods, (1981) (131)
- The Algebraic Theory of Matrix Polynomials (1976) (131)
- Optimization on Microcomputers: The Nelder-Mead Simplex Algorithm (1985) (130)
- Techniques for nonlinear least squares and robust regression (1978) (130)
- A Global Convergence Theory for General Trust-Region-Based Algorithms for Equality Constrained Optimization (1997) (129)
- Trailing-edge noise reduction using derivative-free optimization and large-eddy simulation (2007) (127)
- Optimization Using Surrogate Objectives on a Helicopter Test Example (1998) (126)
- Sizing and least-change secant methods (1993) (124)
- MANAGING APPROXIMATION MODELS IN OPTIMIZATION (2007) (122)
- Pattern search algorithms for mixed variable general constrained optimization problems (2003) (120)
- Comparison of derivative-free optimization methods for groundwater supply and hydraulic capture community problems (2008) (117)
- A view of unconstrained optimization (1989) (101)
- On the Superlinear and Quadratic Convergence of Primal-Dual Interior Point Linear Programming Algorithms (1992) (96)
- Globalization strategies for Mesh Adaptive Direct Search (2008) (95)
- A Trust-Region Approach to Nonlinear Systems of Equalities and Inequalities (1999) (87)
- Mixed Variable Optimization of the Number and Composition of Heat Intercepts in a Thermal Insulation System (2001) (84)
- Convergence theory for the structured BFGS secant method with an application to nonlinear least squares (1989) (83)
- Parallel Space Decomposition of the Mesh Adaptive Direct Search Algorithm (2007) (76)
- Generalized pattern searches with derivative information (2002) (73)
- Using simplex gradients of nonsmooth functions in direct search methods (2008) (70)
- A framework for managing models in nonlinear optimization of computationally expensive functions (1999) (69)
- Algorithms for solvents of matrix polynomials (1978) (68)
- Filter Pattern Search Algorithms for Mixed Variable Constrained Optimization Problems (2004) (68)
- On Alternative Problem Formulations for Multidisciplinary Design Optimization (1992) (67)
- A unified approach to global convergence of trust region methods for nonsmooth optimization (1995) (62)
- On the Convergence of Broyden's Method for Nonlinear Systems of Equations (1971) (56)
- On the Convergence Theory of Trust-Region-Based Algorithms for Equality-Constrained Optimization (1997) (52)
- SOME COMPUTATIONAL TECHNIQUES FOR THE NONLINEAR LEAST SQUARES PROBLEM (1973) (49)
- Managing surrogate objectives to optimize a helicopter rotor design - Further experiments (1998) (47)
- 10. Nonlinear Least Squares (1996) (46)
- A stability analysis for perturbed nonlinear iterative methods (1976) (44)
- Trust-Region Interior-Point Algorithms for Minimization Problems with Simple Bounds (1996) (43)
- Erratum: Mesh Adaptive Direct Search Algorithms for Constrained Optimization (2006) (43)
- Generalized conjugate directions (1987) (42)
- Suppression of vortex-shedding noise via derivative-free shape optimization (2004) (41)
- Inaccuracy in quasi-Newton methods: Local improvement theorems (1984) (41)
- A global convergence theory for a class of trust region algorithms for constrained optimization (1988) (36)
- A NEW DERIVATION OF SYMMETRIC POSITIVE DEFINITE SECANT UPDATES (1980) (36)
- A variable-metric variant of the Karmarkar algorithm for linear programming (1987) (30)
- Direct secant updates of matrix factorizations (1982) (30)
- A Trust Region Strategy for Equality Constrained Optimization (1984) (28)
- Direct Search Methods for Nonlinearly Constrained Optimization Using Filters and Frames (2004) (28)
- A robust trust region algorithm for nonlinear programming (1990) (26)
- An Unconstrained Optimization Algorithm Which Uses Function and Gradient Values (1975) (26)
- Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Method (2018) (26)
- A user's guide to nonlinear optimization algorithms (1984) (25)
- On the Matrix Polynomial, Lambda-Matrix and Block Eigenvalue Problems (1971) (24)
- Chapter I A view of unconstrained optimization (1989) (23)
- Triangular Decomposition Methods for Solving Reducible Nonlinear Systems of Equations (1994) (22)
- Pattern search in the presence of degenerate linear constraints (2008) (21)
- A New Algorithm for Nonlinear Least Squares Curve Fitting (1970) (19)
- Approximation model management for optimization (1996) (18)
- A Curvilinear Search Using Tridiagonal Secant Updates for Unconstrained Optimization (1991) (18)
- On Some Methods Based on Broyden's Secant Approximation to the Hessian (1971) (17)
- Trade-off studies in blackbox optimization (2012) (17)
- Multilevel algorithms for nonlinear optimization (1995) (17)
- ALGORITHMS FOR BILEVEL OPTIMIZATION (1994) (17)
- On the Second Order Convergence of Brown's Derivative-Free Method for Solving Simultaneous Nonlinear Equations. (1971) (15)
- Quantitative Object Reconstruction Using Abel Transform X-Ray Tomography and Mixed Variable Optimization (2012) (15)
- Problem formulations for systems of systems (2005) (14)
- Nonlinear Programming by Mesh Adaptive Direct Searches (2005) (13)
- An efficient class of direct search surrogate methods for solving expensive optimization problems with CPU-time-related functions (2012) (13)
- A new type of Chebyshev quadrature (1969) (12)
- Parallel Implementations Of The Nelder-Mead Simplex Algorithm For Unconstrained Optimization (1988) (11)
- Least-Change Sparse Secant Update Methods with Inaccurate Secant Conditions (1985) (11)
- Surrogate Modelling and Space Mapping for Engineering Optimization: A Summary of the Danish Technical University November 2000 Workshop (2000) (10)
- A global convergence theory for a general class of trust region algorithms for equality constrained optimization (1993) (10)
- MoVars: Multidisciplinary Optimization Via Adaptive Response Surfaces (2007) (9)
- A New Nonlinear Equations Test Problem (1986) (9)
- Constrained Aeroacoustic Shape Optimization Using the Surrogate Management Framework (2003) (8)
- Optimization of Hollow-Fiber Design and Low-Pressure Membrane System Operation (2001) (8)
- On Newton-like iteration functions: General convergence theorems and a specific algorithm (1968) (8)
- Optimization and geophysical inverse problems (2000) (7)
- A Memoryless Augmented Gauss-Newton Method for Nonlinear Least-Squares Problems (1985) (7)
- Local Convergence Theorems for Quasi-Newton Methods (1979) (6)
- Pattern search in the presence of degeneracy (2007) (6)
- A hybrid algorithm for solving sparse nonlinear systems of equations (1988) (6)
- Algorithms for nonlinear problems which use discrete approximations to derivatives (1971) (5)
- Comparing problem formulations for coupled sets of components (2009) (5)
- Parallel Block Triangular Decompositions for Solving Sparse Nonlinear Systems of Equations (1991) (5)
- Parallel continuous optimization (2003) (5)
- Erratum: Convergence Theorems for Least-Change Secant Update Methods (1982) (4)
- 5. Newton's Method for Nonlinear Equations and Unconstrained Minimization (1996) (3)
- 9. Secant Methods for Unconstrained Minimization (1996) (3)
- Research on trust-region algorithms for nonlinear programming (1991) (3)
- Nonlinear Parameter Optimization (1976) (3)
- Supplementary terminology for nonlinear iterative methods (1976) (2)
- Some Minimal Properties of the Trapezoidal Rule (1972) (2)
- Toward Direct Sparse Updates of Cholesky Factors (1983) (2)
- On the Convergence of Mixed Integer Pattern Search Algorithms on the Convergence of Mixed Integer Pattern Search Algorithms (1999) (2)
- Pattern search methods for linearly constrained minimization in the presence of degeneracy (2003) (2)
- Numerical Optimization At the Center for Research On Parallel Computation (1994) (1)
- A user's guide to nonlinear optimization algorithms (1983) (1)
- 4. Multivariable Calculus Background (1996) (1)
- Optimization Tools for Engineering Design Using Surrogate Functions (2000) (1)
- A Continuous Analogue Analysis of Nonlinear Iterative Methods (1974) (1)
- 3. Numerical Linear Algebra Background (1996) (1)
- IC S MULTILEVEL ALGORITHMS FOR NONLINEAR OPTIMIZATION (1994) (1)
- Solving Computationally Expensive Optimization Problems with CPU Time-Correlated Functions (2008) (1)
- Pattern Search for Mixed Variable Optimization Problems (2003) (1)
- An Experimental Computer Network to Support Numerical Computation (1982) (1)
- Curve tailoring with interactive computer (1988) (1)
- Pattern Search Methods in the Presence of Degeneracy (2003) (1)
- New Meta Algorithms for Engineering Design Using Surrogate Functions (2005) (0)
- Research on trust-region algorithms for nonlinear programming. Final technical report, 1 January 1990--31 December 1992 (1995) (0)
- A Computational Note on Markov Decision Processes Without Discounting (1987) (0)
- 7. Stopping, Scaling, and Testing (1996) (0)
- Solving Nonlinear Integer Programs with a Subgradient Approach on Parallel Computers (1996) (0)
- An efficient class of direct search surrogate methods for solving expensive optimization problems with CPU-time-related functions (2011) (0)
- Some Issues in Nonlinear Programming Algorithms for Problems with Simulation Constraints. (1995) (0)
- 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 (1999) (0)
- Mixed variable optimization of thenumber and composition of heat interceptsin a thermal insulation systemMichael Kokkolaras (2000) (0)
- Managing the Choice of Surrogate Variables and the Use of Approximation Models to Optimize Expensive Functions (1998) (0)
- Sensitivity to Constraints in Blackbox Optimization (2010) (0)
- Algorithms for Blackbox Optimization using Surrogate Function (2008) (0)
- Variable Metric Secant Updates from Matrix Factorizations. (1983) (0)
- Integrated Approaches to Parallelism in Optimization and the Solution of Inverse Problems (1992) (0)
- Research on trust-region algorithms for nonlinear programming. Progress report, January 1, 1991--December 31, 1991 (1991) (0)
- 11. Methods for Problems with Special Structure (1996) (0)
- Characteristic Shape Sequences for Measures on Images (2006) (0)
- Recent Advances in Optimization (July 24-26th, 2013) (2013) (0)
- 6. Globally Convergent Modifications of Newton's Method (1996) (0)
- Derivative-free algorithms for unconstrained optimization problems (1975) (0)
- Quasi-Newton methods for large scale nonlinear equations and constrained optimization: Progress report, July 1, 1987-June 30, 1988 (1988) (0)
- Editorial — Special Issue on Surrogate Optimization (2004) (0)
- A Rigorous Framework forOptimization of ExpensiveFunctions by SurrogatesAndrew (1998) (0)
- The Combined Schubert/Secant Finite-Difference Algorithm for Solving Sparse Nonlinear Systems of Equations (1986) (0)
- Research in Constrained Optimization (1989) (0)
- SIAG/OPT Views-and-News pdfsubject (2006) (0)
- On the Local Convergence of Nonlinear Successive Overrelaxation and Related Methods (1969) (0)
- Nominations for 1997 elections (1997) (0)
- Parallel Implementations of an Oil Refining Simulation (1993) (0)
- Comparing Problem Formulation for Coupled Sets of Component (2007) (0)
- Cost Modeling and Optimization Considerations for Low Pressure Membrane Filtration Systems (1999) (0)
- 2. Nonlinear Problems in One Variable (1996) (0)
- Iterative Methods for Large Linear and Nonlinear Least Squares Problems. (1986) (0)
- A Rigorous Framework for Optimizationof Expensive Functions by SurrogatesAndrew (1998) (0)
- Parallel Structured Optimization Algorithms for Inverse Problems (1993) (0)
- 8. Secant Methods for Systems of Nonlinear Equations (1996) (0)
- Optimization Using SurrogateObjectives On a Helicopter (1997) (0)
- Industrial Strength Derivative-Free Optimization (2001) (0)

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