A. Melman

511 total citations
52 papers, 344 citations indexed

About

A. Melman is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Geometry and Topology. According to data from OpenAlex, A. Melman has authored 52 papers receiving a total of 344 indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Computational Theory and Mathematics, 26 papers in Numerical Analysis and 11 papers in Geometry and Topology. Recurrent topics in A. Melman's work include Matrix Theory and Algorithms (37 papers), Advanced Optimization Algorithms Research (20 papers) and Iterative Methods for Nonlinear Equations (14 papers). A. Melman is often cited by papers focused on Matrix Theory and Algorithms (37 papers), Advanced Optimization Algorithms Research (20 papers) and Iterative Methods for Nonlinear Equations (14 papers). A. Melman collaborates with scholars based in United States, Israel and Germany. A. Melman's co-authors include Roman A. Polyak, Gad Rabinowitz, Jochem Zowe, Aharon Ben‐Tal, Shmuel Friedland and Drazen Fabris and has published in prestigious journals such as Mathematics of Computation, Journal of Mathematical Analysis and Applications and SIAM Review.

In The Last Decade

A. Melman

45 papers receiving 312 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
A. Melman United States 11 218 146 59 52 47 52 344
Zhongyun Liu China 10 213 1.0× 119 0.8× 26 0.4× 39 0.8× 31 0.7× 49 337
Ivan Slapničar Croatia 13 304 1.4× 155 1.1× 38 0.6× 23 0.4× 58 1.2× 36 447
Marilena Mitrouli Greece 10 247 1.1× 62 0.4× 44 0.7× 53 1.0× 103 2.2× 74 387
Xuefeng Duan China 11 248 1.1× 126 0.9× 35 0.6× 58 1.1× 16 0.3× 45 387
Xingping Sheng China 12 306 1.4× 206 1.4× 25 0.4× 21 0.4× 25 0.5× 27 351
Julio Moro Spain 13 340 1.6× 164 1.1× 29 0.5× 65 1.3× 48 1.0× 30 439
Vladimir Kostić Serbia 12 304 1.4× 179 1.2× 48 0.8× 27 0.5× 114 2.4× 34 349
Robert Reams United States 10 179 0.8× 74 0.5× 30 0.5× 59 1.1× 71 1.5× 19 282
Gerhard Opfer Germany 12 172 0.8× 132 0.9× 100 1.7× 63 1.2× 20 0.4× 48 382
Panayiotis Psarrakos Greece 12 379 1.7× 181 1.2× 25 0.4× 50 1.0× 39 0.8× 60 454

Countries citing papers authored by A. Melman

Since Specialization
Citations

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

Fields of papers citing papers by A. Melman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of A. Melman

This figure shows the co-authorship network connecting the top 25 collaborators of A. Melman. A scholar is included among the top collaborators of A. Melman 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 A. Melman. A. Melman 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.
Melman, A.. (2024). Zero location for analytic and harmonic trinomials. Journal of Mathematical Analysis and Applications. 544(2). 129078–129078.
2.
Melman, A.. (2023). Matrices whose eigenvalues are those of a quadratic matrix polynomial. Linear Algebra and its Applications. 676. 131–149. 1 indexed citations
3.
Melman, A.. (2023). An efficient approximation to the Cauchy radius. Numerical Algorithms. 96(1). 1–11. 1 indexed citations
4.
Melman, A.. (2022). An Exclusion Sector for Zeros of Polynomials with Nonnegative Coefficients. College Mathematics Journal. 53(4). 312–314.
5.
Melman, A.. (2021). Polynomial eigenvalue estimation: numerical radii versus norms. Linear and Multilinear Algebra. 70(22). 7656–7671. 1 indexed citations
6.
Friedland, Shmuel & A. Melman. (2020). A note on Hermitian positive semidefinite matrix polynomials. Linear Algebra and its Applications. 598. 105–109. 2 indexed citations
7.
Melman, A.. (2019). Eigenvalue localization under partial spectral information. Linear Algebra and its Applications. 573. 12–25. 1 indexed citations
8.
Melman, A.. (2019). Refinement of Pellet radii for matrix polynomials. Linear and Multilinear Algebra. 68(11). 2185–2200. 1 indexed citations
9.
Melman, A.. (2019). Directional bounds for polynomial zeros and eigenvalues. Journal of Mathematical Analysis and Applications. 482(2). 123571–123571. 1 indexed citations
10.
Melman, A.. (2018). Cauchy, Gershgorin, and Matrix Polynomials. Mathematics Magazine. 91(4). 274–285.
11.
Melman, A.. (2018). Polynomial eigenvalue bounds from companion matrix polynomials. Linear and Multilinear Algebra. 67(3). 598–612. 5 indexed citations
12.
Melman, A.. (2016). Bounds for eigenvalues of matrix polynomials with applications to scalar polynomials. Linear Algebra and its Applications. 504. 190–203. 6 indexed citations
13.
Melman, A.. (2016). Cauchy-like and Pellet-like results for polynomials. Linear Algebra and its Applications. 505. 174–193.
14.
Melman, A.. (2013). Inclusion disks for polynomial zeros in generalized bases. Linear Algebra and its Applications. 445. 326–346.
15.
Melman, A.. (2011). Ovals of Cassini for Toeplitz matrices. Linear and Multilinear Algebra. 60(2). 189–199. 4 indexed citations
16.
Melman, A.. (2010). Gershgorin Disk Fragments. Mathematics Magazine. 83(2). 123–129. 2 indexed citations
17.
Melman, A.. (2009). Spectral inclusion sets for structured matrices. Linear Algebra and its Applications. 431(5-7). 633–656. 2 indexed citations
18.
Melman, A.. (2001). A two-step even–odd split Levinson algorithm for Toeplitz systems. Linear Algebra and its Applications. 338(1-3). 219–237. 8 indexed citations
19.
Melman, A.. (2000). Symmetric centrosymmetric matrix–vector multiplication. Linear Algebra and its Applications. 320(1-3). 193–198. 25 indexed citations
20.
Melman, A.. (1998). Spectral functions for real symmetric Toeplitz matrices. Journal of Computational and Applied Mathematics. 98(2). 233–243. 8 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

Breakdown of academic impact, for papers by Zhongyun Liu Breakdown of academic impact, for papers by Ivan Slapničar Breakdown of academic impact, for papers by Marilena Mitrouli Breakdown of academic impact, for papers by Xuefeng Duan Breakdown of academic impact, for papers by Xingping Sheng Breakdown of academic impact, for papers by Julio Moro Breakdown of academic impact, for papers by Vladimir Kostić Breakdown of academic impact, for papers by Robert Reams Breakdown of academic impact, for papers by Gerhard Opfer Breakdown of academic impact, for papers by Panayiotis Psarrakos
Rankless by CCL
2026