Robert Michael Lewis

Numerical Analysis · 2001–2003

A researcher in the Science corpus: 5 papers; trusts 10 researchers and is trusted by 42 researchers here, as inferred from the citation graph.

Subfields

• Numerical Analysis — 14 citations into it; #331 of 3,586 by trust here, #248 by citations
• Mathematical Optimization — 9 citations into it
• Computational Theory and Mathematics — 7 citations into it; #2,731 of 12,182 by trust here, #3,117 by citations
• Computational Mechanics — 5 citations into it; #2,313 of 10,001 by trust here, #3,126 by citations

Whom Robert Michael Lewis trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. M. Powell
2. John A. Nelder
3. Roger Fletcher
4. John E. Dennis Jr.
5. Andrew R. Conn
6. Dimitri P. Bertsekas
7. Charles Audet
8. Christopher John Price

Who trusts Robert Michael Lewis overall

1. Luís Nunes Vicente
2. Jamal Al-Sumait
3. Charles Audet
4. Tamara G. Kolda
5. Serge Gratton
6. Rommel G. Regis
7. Julie Yixuan Zhu
8. Louis J. Durlofsky
9. Jan Sykulski
10. A. F. Vaz

Papers from Robert Michael Lewis's perspective

Ordered by how strongly the researchers Robert Michael Lewis trusts endorse each paper. Same corpus, a different order for every researcher.

1. On the convergence of derivative-free methods for unconstrained optimization
2. A Simplex Method for Function Minimization
3. Algorithms for minimization without derivatives
4. An efficient method for finding the minimum of a function of several variables without calculating derivatives
5. A Direct Search Optimization Method That Models the Objective and Constraint Functions by Linear Interpolation
6. Direct search algorithms for optimization calculations
7. Nonlinear programming without a penalty function (Mathematical programming)
8. Numerical methods for unconstrained optimization and nonlinear equations
9. A Globally Convergent Augmented Lagrangian Pattern Search Algorithm for Optimization with General Constraints and Simple Bounds (SIAM Journal on Optimization)
10. Trust Region Methods

Their papers

• Approximation and Model Management in Aerodynamic Optimization with Variable-Fidelity Models (2001) — 344 citations
• A Globally Convergent Augmented Lagrangian Pattern Search Algorithm for Optimization with General Constraints and Simple Bounds (2002) — 320 citations
• An Overview of First-Order Model Management for Engineering Optimization (2001) — 206 citations
• Optimization by Direct Search: New Perspectives on Some Classical and Modern Methods (2003) — 1,825 citations
• Probabilistic approach to free-form airfoil shape optimization under uncertainty (2002) — 117 citations