M. V. Solodov

5.2k total citations · 1 hit paper
107 papers, 3.5k citations indexed

About

M. V. Solodov is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Computational Mechanics. According to data from OpenAlex, M. V. Solodov has authored 107 papers receiving a total of 3.5k indexed citations (citations by other indexed papers that have themselves been cited), including 91 papers in Numerical Analysis, 90 papers in Computational Theory and Mathematics and 21 papers in Computational Mechanics. Recurrent topics in M. V. Solodov's work include Advanced Optimization Algorithms Research (90 papers), Optimization and Variational Analysis (81 papers) and Iterative Methods for Nonlinear Equations (29 papers). M. V. Solodov is often cited by papers focused on Advanced Optimization Algorithms Research (90 papers), Optimization and Variational Analysis (81 papers) and Iterative Methods for Nonlinear Equations (29 papers). M. V. Solodov collaborates with scholars based in Brazil, Russia and United States. M. V. Solodov's co-authors include B. F. Svaiter, A. F. Izmailov, O. L. Mangasarian, Claudia Sagastizábal, Damián Fernández, Alfredo N. Iusem, Ya. I. Alber, Andreas Fischer, С. К. Завриев and Warren Hare and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Mathematical Programming and SIAM Journal on Control and Optimization.

In The Last Decade

M. V. Solodov

103 papers receiving 3.2k citations

Hit 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.

A New Projection Method for Variational Inequality Problems

1999 423 citations M. V. Solodov, B. F. Svaiter profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
M. V. Solodov Brazil	32	2.8k	2.7k	897	441	359	107	3.5k
Alfredo N. Iusem Brazil	34	3.3k 1.2×	2.7k 1.0×	860 1.0×	934 2.1×	247 0.7×	137	4.0k
Radu Ioan Boţ Germany	26	2.0k 0.7×	1.4k 0.5×	702 0.8×	358 0.8×	234 0.7×	132	2.4k
Asen L. Dontchev United States	30	2.6k 0.9×	2.1k 0.8×	625 0.7×	749 1.7×	801 2.2×	96	3.8k
Defeng Sun Singapore	43	3.0k 1.1×	3.5k 1.3×	2.6k 2.9×	97 0.2×	531 1.5×	125	5.7k
A. Auslender France	25	1.6k 0.6×	1.4k 0.5×	565 0.6×	202 0.5×	215 0.6×	53	2.0k
Naihua Xiu China	24	1.2k 0.4×	1.1k 0.4×	558 0.6×	190 0.4×	152 0.4×	124	2.0k
Krzysztof C. Kiwiel Poland	28	1.6k 0.6×	1.7k 0.6×	1.0k 1.1×	94 0.2×	274 0.8×	76	2.7k
Jane J. Ye Canada	27	1.9k 0.7×	1.3k 0.5×	239 0.3×	327 0.7×	868 2.4×	100	2.4k
A. M. Rubinov Australia	26	1.7k 0.6×	1.2k 0.4×	208 0.2×	364 0.8×	264 0.7×	103	2.4k
Jochem Zowe Germany	22	1.7k 0.6×	1.1k 0.4×	381 0.4×	178 0.4×	490 1.4×	45	2.6k

Countries citing papers authored by M. V. Solodov

Since Specialization

Citations

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

Fields of papers citing papers by M. V. Solodov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by M. V. Solodov. 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 M. V. Solodov. The network helps show where M. V. Solodov may publish in the future.

Co-authorship network of co-authors of M. V. Solodov

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

All Works

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20 of 20 papers shown

Izmailov, A. F. & M. V. Solodov. (2025). A General Perturbed Newtonian Framework and Critical Solutions of Nonlinear Equations. Set-Valued and Variational Analysis. 33(1).

Fischer, Andreas, A. F. Izmailov, & M. V. Solodov. (2024). The Levenberg–Marquardt method: an overview of modern convergence theories and more. Computational Optimization and Applications. 89(1). 33–67. 31 indexed citations

Sagastizábal, Claudia, et al.. (2023). A Unified Analysis of Descent Sequences in Weakly Convex Optimization, Including Convergence Rates for Bundle Methods. SIAM Journal on Optimization. 33(1). 89–115. 5 indexed citations

Izmailov, A. F. & M. V. Solodov. (2023). Convergence rate estimates for penalty methods revisited. Computational Optimization and Applications. 85(3). 973–992.

Sagastizábal, Claudia, et al.. (2022). Profit sharing mechanisms in multi-owned cascaded hydrosystems. Optimization and Engineering. 24(3). 2005–2043. 1 indexed citations

Izmailov, A. F. & M. V. Solodov. (2021). Perturbed Augmented Lagrangian Method Framework with Applications to Proximal and Smoothed Variants. Journal of Optimization Theory and Applications. 193(1-3). 491–522. 1 indexed citations

Sagastizábal, Claudia, et al.. (2020). A regularized smoothing method for fully parameterized convex problems with applications to convex and nonconvex two-stage stochastic programming. Mathematical Programming. 189(1-2). 117–149. 10 indexed citations

Izmailov, A. F. & M. V. Solodov. (2016). Some new facts about sequential quadratic programming methods employing second derivatives. Optimization methods & software. 31(6). 1111–1131. 1 indexed citations

Hare, Warren, Claudia Sagastizábal, & M. V. Solodov. (2015). A proximal bundle method for nonsmooth nonconvex functions with inexact information. Computational Optimization and Applications. 63(1). 1–28. 61 indexed citations

10.

Fernández, Damián & M. V. Solodov. (2012). Local Convergence of Exact and Inexact Augmented Lagrangian Methods under the Second-Order Sufficient Optimality Condition. SIAM Journal on Optimization. 22(2). 384–407. 57 indexed citations

11.

Fernández, Damián, A. F. Izmailov, & M. V. Solodov. (2010). Sharp Primal Superlinear Convergence Results for Some Newtonian Methods for Constrained Optimization. SIAM Journal on Optimization. 20(6). 3312–3334. 14 indexed citations

12.

Izmailov, A. F. & M. V. Solodov. (2009). Inexact Josephy–Newton framework for generalized equations and its applications to local analysis of Newtonian methods for constrained optimization. Computational Optimization and Applications. 46(2). 347–368. 22 indexed citations

13.

Solodov, M. V., et al.. (2009). A Class of Variable Metric Decomposition Methods for Monotone Variational Inclusions. Conicet. 17 indexed citations

14.

Solodov, M. V.. (2003). Merit functions and error bounds for generalized variational inequalities. Journal of Mathematical Analysis and Applications. 287(2). 405–414. 37 indexed citations

15.

Izmailov, A. F. & M. V. Solodov. (2002). The theory of 2-regularity for mappings with Lipschitzian derivatives and its applications to optimality conditions. SIAM Journal on Optimization. 27(3). 614–635. 12 indexed citations

16.

Solodov, M. V. & B. F. Svaiter. (1998). A hybrid projection-proximal point algorithm.. 6(1). 59–70. 130 indexed citations

17.

Solodov, M. V. & B. F. Svaiter. (1997). Descent methods with linesearch in the presence of perturbations. Journal of Computational and Applied Mathematics. 80(2). 265–275. 3 indexed citations

18.

Завриев, С. К. & M. V. Solodov. (1994). STABILITY PROPERTIES OF THE GRADIENT PROJECTION METHOD WITH APPLICATIONS TO THE BACKPROPAGATION ALGORITHM. Minds at UW (University of Wisconsin). 1 indexed citations

19.

Luo, Zhongqiang, O. L. Mangasarian, Jun Ren, & M. V. Solodov. (1994). New Error Bounds for the Linear Complementarity Problem. Mathematics of Operations Research. 19(4). 880–892. 44 indexed citations

20.

Mangasarian, O. L. & M. V. Solodov. (1993). Backpropagation Convergence Via Deterministic Nonmonotone Perturbed Minimization. Neural Information Processing Systems. 6. 383–390. 10 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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