Adrian S. Lewis

10.7k total citations · 3 hit papers
132 papers, 6.0k citations indexed

About

Adrian S. Lewis is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Applied Mathematics. According to data from OpenAlex, Adrian S. Lewis has authored 132 papers receiving a total of 6.0k indexed citations (citations by other indexed papers that have themselves been cited), including 80 papers in Computational Theory and Mathematics, 74 papers in Numerical Analysis and 34 papers in Applied Mathematics. Recurrent topics in Adrian S. Lewis's work include Advanced Optimization Algorithms Research (71 papers), Optimization and Variational Analysis (49 papers) and Matrix Theory and Algorithms (33 papers). Adrian S. Lewis is often cited by papers focused on Advanced Optimization Algorithms Research (71 papers), Optimization and Variational Analysis (49 papers) and Matrix Theory and Algorithms (33 papers). Adrian S. Lewis collaborates with scholars based in United States, Canada and France. Adrian S. Lewis's co-authors include Jonathan M. Borwein, Michael L. Overton, James V. Burke, Aris Daniilidis, Jérôme Bolte, Hristo S. Sendov, Jérôme Malick, Dmitriy Drusvyatskiy, Didier Henrion and Masahiro Shiota and has published in prestigious journals such as Journal of Biological Chemistry, IEEE Transactions on Automatic Control and International Journal of Remote Sensing.

In The Last Decade

Adrian S. Lewis

129 papers receiving 5.5k citations

Hit Papers

Convex analysis and nonlinear optimization : theory and e... 2000 2026 2008 2017 2000 2006 2007 100 200 300 400 500
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Convex analysis and nonlinear optimization : theory and examples
    2000 511 citations Jonathan M. Borwein, Adrian S. Lewis University of Maribor digital library (University of Maribor) profile →
  2. Convex Analysis and Nonlinear Optimization
    2006 422 citations Jonathan M. Borwein, Adrian S. Lewis profile →
  3. The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems
    2007 395 citations Jérôme Bolte, Aris Daniilidis et al. SIAM Journal on Optimization profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Adrian S. Lewis United States 40 2.7k 2.3k 1.9k 899 750 132 6.0k
Claude Lemaréchal France 29 3.2k 1.2× 3.0k 1.3× 1.8k 1.0× 1.1k 1.2× 503 0.7× 58 7.7k
Jean‐Baptiste Hiriart‐Urruty France 26 3.0k 1.1× 2.5k 1.1× 1.2k 0.6× 734 0.8× 756 1.0× 79 5.3k
Peter Lancaster Canada 36 3.8k 1.4× 2.2k 0.9× 1.5k 0.8× 1.6k 1.8× 1.1k 1.4× 184 10.3k
B. F. Svaiter Brazil 38 4.0k 1.5× 3.5k 1.5× 1.8k 1.0× 370 0.4× 319 0.4× 118 5.8k
William W. Hager United States 49 3.2k 1.2× 3.7k 1.6× 3.0k 1.6× 1.5k 1.7× 442 0.6× 166 10.6k
B. T. Polyak Russia 25 2.2k 0.8× 2.4k 1.0× 1.9k 1.0× 1.2k 1.4× 182 0.2× 87 6.7k
Steve Smale United States 32 2.0k 0.7× 819 0.4× 1.3k 0.7× 631 0.7× 799 1.1× 54 7.3k
Paul Tseng United States 42 3.5k 1.3× 3.4k 1.5× 2.3k 1.2× 646 0.7× 245 0.3× 103 6.7k
J. Frédéric Bonnans France 26 2.6k 1.0× 2.1k 0.9× 1.0k 0.5× 995 1.1× 489 0.7× 119 4.9k
Heinz H. Bauschke Canada 31 5.5k 2.0× 4.3k 1.9× 2.6k 1.4× 444 0.5× 718 1.0× 131 8.5k

Countries citing papers authored by Adrian S. Lewis

Since Specialization
Citations

This map shows the geographic impact of Adrian S. Lewis's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Adrian S. Lewis with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Adrian S. Lewis more than expected).

Fields of papers citing papers by Adrian S. Lewis

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Adrian S. Lewis. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Adrian S. Lewis. The network helps show where Adrian S. Lewis may publish in the future.

Co-authorship network of co-authors of Adrian S. Lewis

This figure shows the co-authorship network connecting the top 25 collaborators of Adrian S. Lewis. A scholar is included among the top collaborators of Adrian S. Lewis based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Adrian S. Lewis. Adrian S. Lewis is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Drusvyatskiy, Dmitriy & Adrian S. Lewis. (2012). Semi-algebraic functions have small subdifferentials. Mathematical Programming. 140(1). 5–29. 8 indexed citations
2.
Hare, Warren & Adrian S. Lewis. (2007). Identifying Active Manifolds. Érudit (Université de Montréal). 2(2). 75–82. 9 indexed citations
3.
Burke, James V., Adrian S. Lewis, & Michael L. Overton. (2007). Convexity and Lipschitz Behavior of Small Pseudospectra. SIAM Journal on Matrix Analysis and Applications. 29(2). 586–595. 5 indexed citations
4.
Bolte, Jérôme, Aris Daniilidis, & Adrian S. Lewis. (2005). A nonsmooth Morse–Sard theorem for subanalytic functions. Journal of Mathematical Analysis and Applications. 321(2). 729–740. 23 indexed citations
5.
Weiss, Lora G. & Adrian S. Lewis. (2004). Intelligent autonomy for multiple, coordinated UAVs. 2. 2118–2127. 2 indexed citations
6.
Burke, James V., Adrian S. Lewis, & Michael L. Overton. (2002). Two numerical methods for optimizing matrix stability. Linear Algebra and its Applications. 351-352. 117–145. 59 indexed citations
7.
Tutwiler, Richard L., et al.. (2001). Fuzzy c-means image segmentation of side-scan sonar images.. 27–32. 6 indexed citations
8.
Borwein, Jonathan M. & Adrian S. Lewis. (2000). Convex analysis and nonlinear optimization : theory and examples. University of Maribor digital library (University of Maribor). 511 indexed citations breakdown →
9.
Borwein, Jonathan M., et al.. (1999). Convex Spectral Functions of Compact Operators. 3 indexed citations
10.
Lewis, Adrian S.. (1996). Superresolution in the Markov Moment Problem. Journal of Mathematical Analysis and Applications. 197(3). 774–780. 4 indexed citations
11.
Lewis, Adrian S.. (1996). Nonsmooth analysis of eigenvalues: A summary. Rendiconti del Seminario Matematico e Fisico di Milano. 66(1). 33–41. 6 indexed citations
12.
Lewis, Adrian S. & Michael L. Overton. (1996). Eigenvalue optimization. Acta Numerica. 5. 149–190. 148 indexed citations
13.
Borwein, Jonathan M., Adrian S. Lewis, & Dominikus Noll. (1996). Maximum Entropy Reconstruction Using Derivative Information, Part 1: Fisher Information and Convex Duality. Mathematics of Operations Research. 21(2). 442–468. 18 indexed citations
14.
Lewis, Adrian S.. (1996). Convex Analysis on the Hermitian Matrices. SIAM Journal on Optimization. 6(1). 164–177. 116 indexed citations
15.
Lewis, Adrian S.. (1995). The Convex Analysis of Unitarily Invariant Matrix Functions. 2. 173–183. 102 indexed citations
16.
Combettes, Patrick L., Jonathan M. Borwein, & Adrian S. Lewis. (1994). On the method of cyclic projections for convex sets in Hilbert space. 1 indexed citations
17.
Borwein, Jonathan M., Adrian S. Lewis, & Roger D. Nussbaum. (1994). Entropy Minimization, DAD Problems, and Doubly Stochastic Kernels. Journal of Functional Analysis. 123(2). 264–307. 48 indexed citations
18.
Borwein, Jonathan M. & Adrian S. Lewis. (1992). Partially finite convex programming, Part I: Quasi relative interiors and duality theory. Mathematical Programming. 57(1-3). 15–48. 191 indexed citations
19.
Borwein, Jonathan M. & Adrian S. Lewis. (1991). On the Convergence of Moment Problems. Transactions of the American Mathematical Society. 325(1). 249–249. 12 indexed citations
20.
Borwein, Jonathan M. & Adrian S. Lewis. (1991). On the convergence of moment problems. Transactions of the American Mathematical Society. 325(1). 249–271. 45 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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