Philippe L. Toint

17.2k total citations · 5 hit papers
215 papers, 11.2k citations indexed

About

Philippe L. Toint is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Computational Mechanics. According to data from OpenAlex, Philippe L. Toint has authored 215 papers receiving a total of 11.2k indexed citations (citations by other indexed papers that have themselves been cited), including 146 papers in Numerical Analysis, 101 papers in Computational Theory and Mathematics and 75 papers in Computational Mechanics. Recurrent topics in Philippe L. Toint's work include Advanced Optimization Algorithms Research (144 papers), Sparse and Compressive Sensing Techniques (66 papers) and Matrix Theory and Algorithms (54 papers). Philippe L. Toint is often cited by papers focused on Advanced Optimization Algorithms Research (144 papers), Sparse and Compressive Sensing Techniques (66 papers) and Matrix Theory and Algorithms (54 papers). Philippe L. Toint collaborates with scholars based in Belgium, United Kingdom and France. Philippe L. Toint's co-authors include Nicholas I. M. Gould, Andrew R. Conn, Dominique Orban, Coralia Cartis, Sven Leyffer, Andreas Griewank, R. Fletcher, Katya Scheinberg, Annick Sartenaer and Serge Gratton and has published in prestigious journals such as SHILAP Revista de lepidopterología, Mathematics of Computation and Geophysical Journal International.

In The Last Decade

Philippe L. Toint

209 papers receiving 10.0k citations

Hit Papers

5 papers align trajectories

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.

Trust Region Methods

2000 2.0k citations Andrew R. Conn, Nicholas I. M. Gould et al. profile →
A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds

1991 621 citations Andrew R. Conn, Nicholas I. M. Gould et al. profile →
CUTE

1995 567 citations Andrew R. Conn, Nicholas I. M. Gould et al. profile →
CUTEr and SifDec

2003 454 citations Nicholas I. M. Gould, Dominique Orban et al. profile →
CUTEst: a Constrained and Unconstrained Testing Environment with safe threads for mathematical optimization

2014 206 citations Nicholas I. M. Gould, Dominique Orban et al. profile →

Peers

Philippe L. Toint

NA

CTM

CM

AI

CSE

Nicholas I. M. Gould United Kingdom

Jorge J. Morè United States

Andrew R. Conn United States

Liqun Qi Hong Kong

Yurii Nesterov Belgium

Michael J. Todd United States

Claude Lemaréchal France

G. W. Stewart United States

B. T. Polyak Russia

J. E. Dennis United States

Nicholas I. M. Gould United Kingdom

Philippe L. Toint

5.7k ×0.8

NA

5.0k ×0.9

CTM

3.1k ×0.9

CM

1.5k ×0.7

AI

1.4k ×0.9

CSE

Citations per year, relative to Philippe L. Toint Philippe L. Toint (= 1×) peers Nicholas I. M. Gould

Countries citing papers authored by Philippe L. Toint

Since Specialization

Citations

This map shows the geographic impact of Philippe L. Toint'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 Philippe L. Toint with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Philippe L. Toint more than expected).

Fields of papers citing papers by Philippe L. Toint

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Philippe L. Toint. 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 Philippe L. Toint. The network helps show where Philippe L. Toint may publish in the future.

Co-authorship network of co-authors of Philippe L. Toint

This figure shows the co-authorship network connecting the top 25 collaborators of Philippe L. Toint. A scholar is included among the top collaborators of Philippe L. Toint 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 Philippe L. Toint. Philippe L. Toint is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Cartis, Coralia, Nicholas I. M. Gould, & Philippe L. Toint. (2020). Sharp Worst-Case Evaluation Complexity Bounds for Arbitrary-Order Nonconvex Optimization with Inexpensive Constraints. Repository of the University of Namur. 19 indexed citations

2.

Cartis, Coralia, Nicholas I. M. Gould, & Philippe L. Toint. (2019). Universal Regularization Methods: Varying the Power, the Smoothness and the Accuracy. Science and Technology Facilities Council. 28 indexed citations

3.

Bellavia, Stefania, et al.. (2018). Deterministic and stochastic inexact regularization algorithms for nonconvex optimization with optimal complexity.. arXiv (Cornell University). 3 indexed citations

4.

Curtis, Frank E., Nicholas I. M. Gould, Daniel P. Robinson, & Philippe L. Toint. (2016). An interior-point trust-funnel algorithm for nonlinear optimization. Science and Technology Facilities Council. 11 indexed citations

5.

Gould, Nicholas I. M., Dominique Orban, & Philippe L. Toint. (2010). An Interior-Point l 1 -Penalty Method for Nonlinear Optimization. PolyPublie (École Polytechnique de Montréal). 1–39. 15 indexed citations

6.

Cirillo, Cinzia, et al.. (2007). Model of weekly working participation for a Belgian synthetic population.

7.

Gratton, Serge, et al.. (2005). Second-order convergence properties of trust-region methods using incomplete curvature information, with an application to multigrid optimization. Repository of the University of Namur.

8.

Bazán, Fermín S. V. & Philippe L. Toint. (2000). On the 2-condition number of infinite Hankel matrices of finite rank. Systems & Control Letters. 41(5). 1 indexed citations

9.

Fletcher, R., et al.. (1999). Global Convergence of Trust-Region SQP-Filter Algorithms for General Nonlinear Programming. CERN Document Server (European Organization for Nuclear Research). 9 indexed citations

10.

Germain, Marc, Philippe L. Toint, & Henry Tulkens. (1996). Calcul économique itératif et stratégique pour les négociations internationales sur les pluies acides entre la Finlande, la Russie et l'Estonie. Annals of Economics and Statistics. 101–127. 5 indexed citations

11.

Conn, Andrew R., Nicholas I. M. Gould, & Philippe L. Toint. (1988). Testing a Class of Methods for Solving Minimization Problems with Simple Bounds on the Variables. Mathematics of Computation. 50(182). 399–399. 8 indexed citations

12.

Toint, Philippe L.. (1986). Numerical Solution of Large Sets of Algebraic Nonlinear Equations. Mathematics of Computation. 46(173). 175–175. 34 indexed citations

13.

Toint, Philippe L.. (1986). Numerical solution of large sets of algebraic nonlinear equations. Mathematics of Computation. 46(173). 175–189. 33 indexed citations

14.

Toint, Philippe L., et al.. (1984). Optimal Estimation of Jacobian and Hessian Matrices That Arise in Finite Difference Calculations. Mathematics of Computation. 43(167). 69–69. 1 indexed citations

15.

Goldfarb, Donald & Philippe L. Toint. (1984). Optimal estimation of Jacobian and Hessian matrices that arise in finite difference calculations. Mathematics of Computation. 43(167). 69–88. 22 indexed citations

16.

Toint, Philippe L.. (1981). A sparse quasi-Newton update derived variationally with a nondiagonally weighted Frobenius norm. Mathematics of Computation. 37(156). 425–433. 4 indexed citations

17.

Toint, Philippe L.. (1978). Some Numerical Results Using a Sparse Matrix Updating Formula in Unconstrained Optimization. Mathematics of Computation. 32(143). 839–839. 8 indexed citations

18.

Toint, Philippe L.. (1978). Some numerical results using a sparse matrix updating formula in unconstrained optimization. Mathematics of Computation. 32(143). 839–851. 53 indexed citations

19.

Toint, Philippe L.. (1977). On sparse and symmetric matrix updating subject to a linear equation. Mathematics of Computation. 31(140). 954–961. 89 indexed citations

20.

Toint, Philippe L.. (1977). On Sparse and Symmetric Matrix Updating Subject to a Linear Equation. Mathematics of Computation. 31(140). 954–954. 15 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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