Petr Tichý

477 total citations
26 papers, 294 citations indexed

About

Petr Tichý is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Computational Mechanics. According to data from OpenAlex, Petr Tichý has authored 26 papers receiving a total of 294 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Computational Theory and Mathematics, 16 papers in Numerical Analysis and 11 papers in Computational Mechanics. Recurrent topics in Petr Tichý's work include Matrix Theory and Algorithms (21 papers), Advanced Optimization Algorithms Research (12 papers) and Sparse and Compressive Sensing Techniques (5 papers). Petr Tichý is often cited by papers focused on Matrix Theory and Algorithms (21 papers), Advanced Optimization Algorithms Research (12 papers) and Sparse and Compressive Sensing Techniques (5 papers). Petr Tichý collaborates with scholars based in Czechia, Germany and United States. Petr Tichý's co-authors include Zdeněk Strakoš, Jörg Liesen, Gérard Meurant, Vance Faber, Dianne P. O’Leary, Erin Carson, Miroslav Rozložńık, Miroslav Tůma, Radim Blaheta and Jan Zítko and has published in prestigious journals such as SIAM Journal on Numerical Analysis, SIAM Journal on Scientific Computing and Numerische Mathematik.

In The Last Decade

Petr Tichý

22 papers receiving 255 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Petr Tichý Czechia 9 209 135 107 80 31 26 294
Mario Arioli United Kingdom 11 207 1.0× 137 1.0× 148 1.4× 51 0.6× 28 0.9× 18 294
Cristina Tablino–Possio Italy 8 234 1.1× 127 0.9× 114 1.1× 96 1.2× 30 1.0× 38 305
Fatemeh Panjeh Ali Beik Iran 12 372 1.8× 144 1.1× 161 1.5× 152 1.9× 15 0.5× 47 460
Tyrone Rees United Kingdom 8 321 1.5× 290 2.1× 166 1.6× 127 1.6× 27 0.9× 18 411
Kang C. Jea United States 4 223 1.1× 129 1.0× 141 1.3× 89 1.1× 20 0.6× 6 292
Man-Chung Yeung United States 10 269 1.3× 63 0.5× 73 0.7× 149 1.9× 54 1.7× 20 343
Gunhild Lindskog Sweden 5 323 1.5× 213 1.6× 136 1.3× 137 1.7× 41 1.3× 11 423
Rafikul Alam India 11 226 1.1× 36 0.3× 142 1.3× 62 0.8× 41 1.3× 28 274
Yiannis G. Saridakis Greece 11 126 0.6× 52 0.4× 111 1.0× 68 0.8× 24 0.8× 37 318
Jun-Feng Yin China 10 569 2.7× 189 1.4× 401 3.7× 240 3.0× 28 0.9× 24 636

Countries citing papers authored by Petr Tichý

Since Specialization
Citations

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

Fields of papers citing papers by Petr Tichý

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Petr Tichý

This figure shows the co-authorship network connecting the top 25 collaborators of Petr Tichý. A scholar is included among the top collaborators of Petr Tichý 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 Petr Tichý. Petr Tichý 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.
Meurant, Gérard & Petr Tichý. (2025). Error Norm Estimates for the Block Conjugate Gradient Algorithms. SIAM Journal on Matrix Analysis and Applications. 46(4). 2175–2196.
2.
Tichý, Petr, et al.. (2025). Block CG algorithms revisited. Numerical Algorithms. 100(4). 1527–1553.
3.
Meurant, Gérard & Petr Tichý. (2024). Error Norm Estimation in the Conjugate Gradient Algorithm. Society for Industrial and Applied Mathematics eBooks. 5 indexed citations
4.
Meurant, Gérard & Petr Tichý. (2023). The behavior of the Gauss-Radau upper bound of the error norm in CG. Numerical Algorithms. 94(2). 847–876. 2 indexed citations
5.
Tichý, Petr, et al.. (2023). Estimating error norms in CG-like algorithms for least-squares and least-norm problems. Numerical Algorithms. 97(1). 1–28. 2 indexed citations
6.
Tichý, Petr, et al.. (2022). When does the Lanczos algorithm compute exactly?. ETNA - Electronic Transactions on Numerical Analysis. 55. 547–567. 1 indexed citations
7.
Liesen, Jörg, et al.. (2020). Analysis of the multiplicative Schwarz method for matrices with a special block structure. ETNA - Electronic Transactions on Numerical Analysis. Oesterreichisches Musiklexikon online (Institut für kunst- und musikhistorische Forschungen der Österreichischen Akademie der Wissenschaften).
8.
Kozubek, Tomáš, Martin Čermák, Petr Tichý, et al.. (2018). High Performance Computing in Science and Engineering. Lecture notes in computer science. 6 indexed citations
9.
Liesen, Jörg, et al.. (2018). Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh. ETNA - Electronic Transactions on Numerical Analysis. 48. 40–62. 4 indexed citations
10.
Carson, Erin, Miroslav Rozložńık, Zdeněk Strakoš, Petr Tichý, & Miroslav Tůma. (2018). The Numerical Stability Analysis of Pipelined Conjugate Gradient Methods: Historical Context and Methodology. SIAM Journal on Scientific Computing. 40(5). A3549–A3580. 12 indexed citations
11.
Faber, Vance, Jörg Liesen, & Petr Tichý. (2013). Properties of Worst-Case GMRES. SIAM Journal on Matrix Analysis and Applications. 34(4). 1500–1519. 4 indexed citations
12.
Meurant, Gérard & Petr Tichý. (2012). On computing quadrature-based bounds for the A-norm of the error in conjugate gradients. Numerical Algorithms. 62(2). 163–191. 14 indexed citations
13.
Strakoš, Zdeněk & Petr Tichý. (2011). On Efficient Numerical Approximation of the Bilinear Form $c^*A^{-1}b$. SIAM Journal on Scientific Computing. 33(2). 565–587. 9 indexed citations
14.
Liesen, Jörg & Petr Tichý. (2009). On Best Approximations of Polynomials in Matrices in the Matrix 2-Norm. SIAM Journal on Matrix Analysis and Applications. 31(2). 853–863. 7 indexed citations
15.
Faber, Vance, Jörg Liesen, & Petr Tichý. (2008). On orthogonal reduction to Hessenberg form with small bandwidth. Numerical Algorithms. 51(2). 133–142. 4 indexed citations
16.
O’Leary, Dianne P., Zdeněk Strakoš, & Petr Tichý. (2007). On sensitivity of Gauss–Christoffel quadrature. Numerische Mathematik. 107(1). 147–174. 17 indexed citations
17.
Strakoš, Zdeněk & Petr Tichý. (2005). Error Estimation in Preconditioned Conjugate Gradients. BIT Numerical Mathematics. 45(4). 789–817. 38 indexed citations
18.
Liesen, Jörg & Petr Tichý. (2004). Convergence analysis of Krylov subspace methods. GAMM-Mitteilungen. 27(2). 153–173. 53 indexed citations
19.
Strakoš, Zdeněk & Petr Tichý. (2003). On Estimation of the A‐norm of the Error in CG and PCG. PAMM. 3(1). 553–554. 3 indexed citations
20.
Strakoš, Zdeněk & Petr Tichý. (2002). On error estimation in the conjugate gradient method and why it works in finite precision computations.. 13. 56–80. 61 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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