Andrew Knyazev

2.6k citations
74 papers · 1.6k indexed · 1 hit paper · h-index 19
Topics
Matrix Theory and Algorithms (37 papers)Advanced Numerical Methods in Computational Mathematics (25 papers)Advanced Optimization Algorithms Research (11 papers)

In The Last Decade

Andrew Knyazev

67 papers receiving 1.4k citations

Hit Papers

Toward the Optimal Preconditioned Eigensolver: Locally Op...20012026200920172001100200300400

Peers

Andrew Knyazev
Comparison fields: 5 of 110
  • Computational Theory and Mathematics 809
  • Computational Mechanics 514
  • Atomic and Molecular Physics, and Optics 478
  • Numerical Analysis 260
  • Mechanics of Materials 186
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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

20 of 20 papers shown
#WorkIndexed citations
1 0
2 0
3 2
4 2
5
Signed Laplacian for spectral clustering revisited.
10
6 1
7 3
8 13
9 1
10 1
11 4
12 1
13
Principal angles between subspaces and their tangents
14
14 18
15 0
16 23
17 12
18 62
19
Efficient solution of symmetric eigenvalue problems using multigridpreconditioners in the locally optimal block conjugate gradient method
47
20
Preconditioned Eigensolvers - an Oxymoron?
74

About Andrew Knyazev

Andrew Knyazev is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Computational Mechanics, having authored 74 papers that have together received 1.6k indexed citations. Recurring topics across this work include Matrix Theory and Algorithms (37 papers), Advanced Numerical Methods in Computational Mathematics (25 papers) and Advanced Optimization Algorithms Research (11 papers). The work is most often cited by research in Computational Mathematics (41 citations), Computational Theory and Mathematics (809 citations) and Numerical Analysis (260 citations). Andrew Knyazev has collaborated with scholars based in United States, Russia and Germany. Frequent 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. Their work appears in journals such as SHILAP Revista de lepidopterología, Physical Chemistry Chemical Physics and Computer Methods in Applied Mechanics and Engineering.

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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