Andrew Knyazev

2.6k total citations · 1 hit paper
74 papers, 1.6k citations indexed

About

Andrew Knyazev is a scholar working on Computational Theory and Mathematics, Computational Mechanics and Numerical Analysis. According to data from OpenAlex, Andrew Knyazev has authored 74 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Computational Theory and Mathematics, 30 papers in Computational Mechanics and 19 papers in Numerical Analysis. Recurrent topics in Andrew Knyazev's work include Matrix Theory and Algorithms (37 papers), Advanced Numerical Methods in Computational Mathematics (25 papers) and Advanced Optimization Algorithms Research (11 papers). Andrew Knyazev is often cited by papers focused on Matrix Theory and Algorithms (37 papers), Advanced Numerical Methods in Computational Mathematics (25 papers) and Advanced Optimization Algorithms Research (11 papers). Andrew Knyazev collaborates with scholars based in United States, Russia and Germany. Andrew Knyazev's co-authors include Merico E. Argentati, Klaus Neymeyr, G. Zérah, François Bottin, Ilya Lashuk, John E. Osborn, Joseph E. Pasciak, James H. Bramble, Ping Zhu and Rien Quirynen and has published in prestigious journals such as SHILAP Revista de lepidopterología, Physical Chemistry Chemical Physics and Computer Methods in Applied Mechanics and Engineering.

In The Last Decade

Andrew Knyazev

67 papers receiving 1.4k 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.

Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method

2001 496 citations Andrew Knyazev profile →

Peers

Andrew Knyazev

CTM

CM

AMPO

NA

MM

Thomas Huckle Germany

Mark Embree United States

Folkmar Bornemann Germany

Olof Runborg Sweden

Helmut Harbrecht Switzerland

Reinhold Schneider Germany

Yvan Notay Belgium

Jane Cullum United States

Anne Greenbaum United States

Yasuhiko Ikebe Japan

Thomas Huckle Germany

Andrew Knyazev

857 ×1.1

CTM

448 ×0.9

CM

628 ×1.3

AMPO

177 ×0.7

NA

83 ×0.4

MM

Citations per year, relative to Andrew Knyazev Andrew Knyazev (= 1×) peers Thomas Huckle

Countries citing papers authored by Andrew Knyazev

Since Specialization

Citations

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

Fields of papers citing papers by Andrew Knyazev

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Andrew Knyazev

This figure shows the co-authorship network connecting the top 25 collaborators of Andrew Knyazev. A scholar is included among the top collaborators of Andrew Knyazev 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 Andrew Knyazev. Andrew Knyazev 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

1.

Knyazev, Andrew, et al.. (2024). Angle‐Free Cluster‐Robust Ritz Value Bounds for Restarted Block Eigensolvers. Numerical Linear Algebra with Applications. 32(1).

2.

Knyazev, Andrew, et al.. (2023). Regulatory and methodological support of blockchain technologies. SHILAP Revista de lepidopterología. 91–96.

3.

Knyazev, Andrew, et al.. (2021). SURGICAL TREATMENT OF ULCERATIVE COLITIS. HISTORY. Problems of Social Hygiene Public Health and History of Medicine. 29(Special Issue). 1358–1367. 2 indexed citations

4.

Knyazev, Andrew, et al.. (2020). MATHEMATICAL MODEL OF A COMBINED SOIL LAUNCHER-STRIP PAVER. 97–106. 2 indexed citations

5.

Knyazev, Andrew. (2017). Signed Laplacian for spectral clustering revisited.. arXiv (Cornell University). 10 indexed citations

6.

Овезов, А. М., et al.. (2017). Influence of propofol on hippocampus in developing brain: an experimental study. SHILAP Revista de lepidopterología. 1 indexed citations

7.

Овезов, А. М., et al.. (2017). Citicoline in the prevention of postoperative cognitive dysfunction during total intravenous anesthesia. SHILAP Revista de lepidopterología. 3 indexed citations

8.

Овезов, А. М., et al.. (2016). Cognitive dysfunction and general anesthesia: From pathogenesis to prevention and correction. SHILAP Revista de lepidopterología. 13 indexed citations

9.

Ai, Fedin, et al.. (2016). The efficacy of pharmacological preconditioning in carotid endarterectomy. S S Korsakov Journal of Neurology and Psychiatry. 116(2). 34–34. 1 indexed citations

10.

Knyazev, Andrew, et al.. (2016). Accelerated Graph-based Nonlinear Denoising Filters. Procedia Computer Science. 80. 607–616. 1 indexed citations

11.

Knyazev, Andrew, et al.. (2015). Preconditioned Continuation Model Predictive Control. arXiv (Cornell University). 4 indexed citations

12.

Knyazev, Andrew, Volker Mehrmann, & Jinchao Xu. (2014). Numerical Solution of PDE Eigenvalue Problems. Oberwolfach Reports. 10(4). 3221–3304. 1 indexed citations

13.

Knyazev, Andrew, et al.. (2012). Principal angles between subspaces and their tangents. arXiv (Cornell University). 14 indexed citations

14.

Knyazev, Andrew, et al.. (2010). Angles between infinite dimensional subspaces with applications to the Rayleigh–Ritz and alternating projectors methods. Journal of Functional Analysis. 259(6). 1323–1345. 18 indexed citations

15.

Knyazev, Andrew, et al.. (2006). Preface. Linear Algebra and its Applications. 415(1). 1–2.

16.

Knyazev, Andrew & Merico E. Argentati. (2006). Majorization for Changes in Angles Between Subspaces, Ritz Values, and Graph Laplacian Spectra. SIAM Journal on Matrix Analysis and Applications. 29(1). 15–32. 23 indexed citations

17.

Knyazev, Andrew & Merico E. Argentati. (2005). On proximity of Rayleigh quotients for different vectors and Ritz values generated by different trial subspaces. Linear Algebra and its Applications. 415(1). 82–95. 12 indexed citations

18.

Knyazev, Andrew & Klaus Neymeyr. (2002). A geometric theory for preconditioned inverse iteration III: A short and sharp convergence estimate for generalized eigenvalue problems. Linear Algebra and its Applications. 358(1-3). 95–114. 62 indexed citations

19.

Knyazev, Andrew & Klaus Neymeyr. (2001). Efficient solution of symmetric eigenvalue problems using multigridpreconditioners in the locally optimal block conjugate gradient method. 15. 38–55. 47 indexed citations

20.

Knyazev, Andrew. (1998). Preconditioned Eigensolvers - an Oxymoron?. ETNA - Electronic Transactions on Numerical Analysis. 7. 104–123. 74 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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