Vlastimil Pták

3.5k total citations · 1 hit paper
115 papers, 2.4k citations indexed

About

Vlastimil Pták is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Vlastimil Pták has authored 115 papers receiving a total of 2.4k indexed citations (citations by other indexed papers that have themselves been cited), including 58 papers in Computational Theory and Mathematics, 27 papers in Applied Mathematics and 25 papers in Mathematical Physics. Recurrent topics in Vlastimil Pták's work include Matrix Theory and Algorithms (41 papers), Advanced Topics in Algebra (15 papers) and graph theory and CDMA systems (14 papers). Vlastimil Pták is often cited by papers focused on Matrix Theory and Algorithms (41 papers), Advanced Topics in Algebra (15 papers) and graph theory and CDMA systems (14 papers). Vlastimil Pták collaborates with scholars based in Czechia, United Kingdom and Belgium. Vlastimil Pták's co-authors include Miroslav Fiedler, Florian A. Potra, Zdeněk Strakoš, Anne Greenbaum, N. J. Young, M. Arioli, Edgar Asplund, Michael Neumann, Emilie V. Haynsworth and Jiří Sedláček and has published in prestigious journals such as IEEE Transactions on Automatic Control, American Mathematical Monthly and Numerische Mathematik.

In The Last Decade

Vlastimil Pták

97 papers receiving 1.9k citations

Hit Papers

On matrices with non-positive off-diagonal elements and p... 1962 2026 1983 2004 1962 200 400 600

Peers

Vlastimil Pták
Comparison fields: 5 of 86
  • Computational Theory and Mathematics 1.4k
  • Numerical Analysis 797
  • Applied Mathematics 398
  • Mathematical Physics 389
  • Geometry and Topology 355
Replace Alexander Ostrowski with:
Alexander Ostrowski Switzerland
Chandler Davis Canada
Emilie V. Haynsworth United States
L. Elsner Germany
William F. Trench United States
Ivan Singer Romania
E. G. Straus United States
Robert E. Hartwig United States
P. Túrán Hungary
T. S. Motzkin United States
Alexander Ostrowski Switzerland View profile →
Citations per field, relative to Vlastimil Pták
Vlastimil Pták · 1×
Citations per year, relative to Vlastimil Pták
Vlastimil Pták · 1×

Countries citing papers authored by Vlastimil Pták

Since Specialization
Citations

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

Fields of papers citing papers by Vlastimil Pták

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Vlastimil Pták

This figure shows the co-authorship network connecting the top 25 collaborators of Vlastimil Pták. A scholar is included among the top collaborators of Vlastimil Pták 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 Vlastimil Pták. Vlastimil Pták 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
# Work Indexed citations
1 1
2 11
3 1
4 13
5 5
6
Nondiscrete induction and iterative processes
274
7 2
8 9
9
An infinite companion matrix
13
10
The spectral radii of an operator and its modulus
1
11
Continuite lipschitzienne du spectre comme fonction d'un opérateur normal
5
12 27
13 30
14 1
15 15
16
Some Inequalities for the Spectrum of a Matrix
6
17 4
18 9
19 30
20 1

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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2026