Mario Arioli

485 total citations
18 papers, 294 citations indexed

About

Mario Arioli is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Computational Mechanics. According to data from OpenAlex, Mario Arioli has authored 18 papers receiving a total of 294 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Computational Theory and Mathematics, 9 papers in Numerical Analysis and 8 papers in Computational Mechanics. Recurrent topics in Mario Arioli's work include Matrix Theory and Algorithms (12 papers), Advanced Optimization Algorithms Research (7 papers) and Advanced Numerical Methods in Computational Mathematics (7 papers). Mario Arioli is often cited by papers focused on Matrix Theory and Algorithms (12 papers), Advanced Optimization Algorithms Research (7 papers) and Advanced Numerical Methods in Computational Mathematics (7 papers). Mario Arioli collaborates with scholars based in United Kingdom, France and Italy. Mario Arioli's co-authors include Iain Duff, Daniel Ruiz, Daniel Loghin, Michele Benzi, Gianmarco Manzini, Dominique Orban, Serge Gratton, Marc Baboulin, Emmanuil H. Georgoulis and Jörg Liesen and has published in prestigious journals such as SIAM Journal on Numerical Analysis, SIAM Journal on Scientific Computing and Linear Algebra and its Applications.

In The Last Decade

Mario Arioli

18 papers receiving 251 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Mario Arioli United Kingdom	11	207	148	137	51	31	18	294
Petr Tichý Czechia	9	209 1.0×	107 0.7×	135 1.0×	80 1.6×	15 0.5×	26	294
Shuzi Zhou China	12	211 1.0×	253 1.7×	130 0.9×	19 0.4×	38 1.2×	34	431
David Evans United Kingdom	9	111 0.5×	116 0.8×	84 0.6×	94 1.8×	26 0.8×	29	293
Gunhild Lindskog Sweden	5	323 1.6×	136 0.9×	213 1.6×	137 2.7×	58 1.9×	11	423
Cristina Tablino–Possio Italy	8	234 1.1×	114 0.8×	127 0.9×	96 1.9×	16 0.5×	38	305
Rafikul Alam India	11	226 1.1×	142 1.0×	36 0.3×	62 1.2×	25 0.8×	28	274
Kang C. Jea United States	4	223 1.1×	141 1.0×	129 0.9×	89 1.7×	20 0.6×	6	292
Bor Plestenjak Slovenia	13	280 1.4×	202 1.4×	52 0.4×	57 1.1×	60 1.9×	44	404
Beong In Yun South Korea	11	88 0.4×	175 1.2×	56 0.4×	57 1.1×	64 2.1×	45	359
Tiexiang Li China	9	112 0.5×	52 0.4×	79 0.6×	51 1.0×	22 0.7×	51	261

Countries citing papers authored by Mario Arioli

Since Specialization

Citations

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

Fields of papers citing papers by Mario Arioli

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mario Arioli. 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 Mario Arioli. The network helps show where Mario Arioli may publish in the future.

Co-authorship network of co-authors of Mario Arioli

This figure shows the co-authorship network connecting the top 25 collaborators of Mario Arioli. A scholar is included among the top collaborators of Mario Arioli 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 Mario Arioli. Mario Arioli 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:

18 of 18 papers shown

Arioli, Mario, et al.. (2020). Application of an iterative Golub-Kahan algorithm to structural mechanics problems with multi-point constraints. Advanced Modeling and Simulation in Engineering Sciences. 7(1). 5 indexed citations

Arioli, Mario & Michele Benzi. (2017). A finite element method for quantum graphs. IMA Journal of Numerical Analysis. 38(3). 1119–1163. 24 indexed citations

Orban, Dominique & Mario Arioli. (2017). Iterative Solution of Symmetric Quasi-Definite Linear Systems. Society for Industrial and Applied Mathematics eBooks. 14 indexed citations

Arioli, Mario & Daniel Loghin. (2015). Spectral analysis of the anisotropic Steklov–Poincaré matrix. Linear Algebra and its Applications. 488. 168–183. 2 indexed citations

Orban, Dominique & Mario Arioli. (2013). Iterative Methods for Symmetric Quasi-Definite Linear Systems. Part I: Theory. Les Cahiers du GERAD. 1–55. 5 indexed citations

Arioli, Mario, Emmanuil H. Georgoulis, & Daniel Loghin. (2013). Stopping Criteria for Adaptive Finite Element Solvers. SIAM Journal on Scientific Computing. 35(3). A1537–A1559. 23 indexed citations

Arioli, Mario, et al.. (2013). Interplay between discretization and algebraic computation in adaptive numerical solutionof elliptic PDE problems. GAMM-Mitteilungen. 36(1). 102–129. 23 indexed citations

Arioli, Mario & Daniel Loghin. (2009). Discrete Interpolation Norms with Applications. SIAM Journal on Numerical Analysis. 47(4). 2924–2951. 31 indexed citations

Arioli, Mario, Marc Baboulin, & Serge Gratton. (2007). A Partial Condition Number for Linear Least Squares Problems. SIAM Journal on Matrix Analysis and Applications. 29(2). 413–433. 26 indexed citations

10.

Arioli, Mario & Gianmarco Manzini. (2003). Null Space Algorithm and Spanning Trees in Solving Darcy's Equation. BIT Numerical Mathematics. 43(5). 839–848. 8 indexed citations

11.

Arioli, Mario & Gianmarco Manzini. (2002). A null space algorithm for mixed finite‐element approximations of Darcy's equation. Communications in Numerical Methods in Engineering. 18(9). 645–657. 16 indexed citations

12.

Arioli, Mario, et al.. (2001). A Backward Error Analysis of a Null Space Algorithm in Sparse Quadratic Programming. SIAM Journal on Matrix Analysis and Applications. 23(2). 425–442. 14 indexed citations

13.

Arioli, Mario, et al.. (1995). A Parallel Scheduler for Block Iterative Solvers in Heterogeneous Computing Environments.. PPSC. 460–465. 2 indexed citations

14.

Arioli, Mario, Iain Duff, Daniel Ruiz, & Miloud Sadkane. (1995). Block Lanczos Techniques for Accelerating the Block Cimmino Method. SIAM Journal on Scientific Computing. 16(6). 1478–1511. 19 indexed citations

15.

Arioli, Mario, Iain Duff, & Daniel Ruiz. (1992). Stopping Criteria for Iterative Solvers. SIAM Journal on Matrix Analysis and Applications. 13(1). 138–144. 41 indexed citations

16.

Arioli, Mario & Francesco Romani. (1992). Stability, Convergence, and Conditioning of Stationary Iterative Methods of the Form x^(I+1)=Px^(I)+q for the Solution of Linear Systems. IMA Journal of Numerical Analysis. 12(1). 21–30. 1 indexed citations

17.

Arioli, Mario, et al.. (1992). A Block Projection Method for Sparse Matrices. SIAM Journal on Scientific and Statistical Computing. 13(1). 47–70. 38 indexed citations

18.

Arioli, Mario, Iain Duff, Daniel Ruiz, & Miloud Sadkane. (1991). Techniques for Accelerating the Block Cimmino Method. 98–104. 2 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.

Explore authors with similar magnitude of impact