Tjalling Ypma

1.3k total citations · 1 hit paper
38 papers, 901 citations indexed

About

Tjalling Ypma is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Computational Mechanics. According to data from OpenAlex, Tjalling Ypma has authored 38 papers receiving a total of 901 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Numerical Analysis, 19 papers in Computational Theory and Mathematics and 4 papers in Computational Mechanics. Recurrent topics in Tjalling Ypma's work include Iterative Methods for Nonlinear Equations (20 papers), Advanced Optimization Algorithms Research (17 papers) and Matrix Theory and Algorithms (17 papers). Tjalling Ypma is often cited by papers focused on Iterative Methods for Nonlinear Equations (20 papers), Advanced Optimization Algorithms Research (17 papers) and Matrix Theory and Algorithms (17 papers). Tjalling Ypma collaborates with scholars based in United States, South Africa and Japan. Tjalling Ypma's co-authors include George Czerlinski, Masao Igarashi and Richard I. Levin and has published in prestigious journals such as SHILAP Revista de lepidopterología, Biophysical Journal and Mathematics of Computation.

In The Last Decade

Tjalling Ypma

35 papers receiving 821 citations

Hit Papers

Historical Development of the Newton–Raphson Method 1995 2026 2005 2015 1995 200 400 600
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.

  1. Historical Development of the Newton–Raphson Method
    1995 603 citations Tjalling Ypma profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Tjalling Ypma United States 10 294 249 105 101 101 38 901
Gerald A. Shultz United States 6 334 1.1× 284 1.1× 144 1.4× 105 1.0× 103 1.0× 13 806
I. D. Coope New Zealand 13 343 1.2× 312 1.3× 113 1.1× 108 1.1× 145 1.4× 33 773
János D. Pintér Canada 18 380 1.3× 448 1.8× 76 0.7× 155 1.5× 197 2.0× 61 1.2k
M. C. Bartholomew‐Biggs United Kingdom 15 228 0.8× 219 0.9× 85 0.8× 140 1.4× 110 1.1× 41 815
Alan Carle United States 11 194 0.7× 236 0.9× 250 2.4× 124 1.2× 86 0.9× 19 831
Stephen Joe New Zealand 12 718 2.4× 194 0.8× 178 1.7× 45 0.4× 97 1.0× 34 1.2k
Tibor Csendes Hungary 19 295 1.0× 534 2.1× 77 0.7× 146 1.4× 180 1.8× 83 1.3k
Richard A. Waltz United States 11 241 0.8× 237 1.0× 157 1.5× 265 2.6× 93 0.9× 15 1.3k
H. Schwetlick Germany 17 338 1.1× 291 1.2× 206 2.0× 98 1.0× 52 0.5× 48 987
C.D. Perttunen United States 5 221 0.8× 504 2.0× 96 0.9× 193 1.9× 361 3.6× 11 1.4k

Countries citing papers authored by Tjalling Ypma

Since Specialization
Citations

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

Fields of papers citing papers by Tjalling Ypma

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Tjalling Ypma

This figure shows the co-authorship network connecting the top 25 collaborators of Tjalling Ypma. A scholar is included among the top collaborators of Tjalling Ypma 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 Tjalling Ypma. Tjalling Ypma 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.
Ypma, Tjalling, et al.. (2018). Solving separable nonlinear least squares problems using the QR factorization. Journal of Computational and Applied Mathematics. 345. 48–58. 6 indexed citations
2.
Ypma, Tjalling, et al.. (2015). Rank deficiencies and bifurcation into affine subspaces for separable parameterized equations. Mathematics of Computation. 85(297). 271–293. 2 indexed citations
3.
Ypma, Tjalling, et al.. (2013). Solving Separable Nonlinear Equations Using LU Factorization. Western CEDAR (Western Washington University). 2013. 1–5. 3 indexed citations
4.
Czerlinski, George & Tjalling Ypma. (2012). The Targets of Information-Carrying Nanodomains. Journal of Nanoscience and Nanotechnology. 12(3). 2239–2247. 7 indexed citations
5.
Czerlinski, George & Tjalling Ypma. (2011). Homeopathic Potentization Based on Nanoscale Domains. The Journal of Alternative and Complementary Medicine. 17(12). 1165–1173. 5 indexed citations
6.
Ypma, Tjalling, et al.. (2010). Bifurcation of Solutions of Separable Parameterized Equations into Lines. SHILAP Revista de lepidopterología. 1 indexed citations
7.
Ypma, Tjalling, et al.. (2009). Numerical Bifurcation of Separable Parameterized Equations. ETNA - Electronic Transactions on Numerical Analysis. 34. 31–43. 5 indexed citations
8.
Czerlinski, George & Tjalling Ypma. (2008). Single Molecule Action in Cancer Cells. Journal of Bionanoscience. 2(1). 9–18. 1 indexed citations
9.
Czerlinski, George & Tjalling Ypma. (2007). Mechanisms of telomerase-dimer catalysis. Journal of Theoretical Biology. 250(3). 512–523. 2 indexed citations
10.
Czerlinski, George & Tjalling Ypma. (2007). Detecting Intermediates in the Telomerase Reaction. Journal of Bionanoscience. 1(1). 64–72. 1 indexed citations
11.
Ypma, Tjalling, et al.. (2006). Solving rank-deficient separable nonlinear equations. Applied Numerical Mathematics. 57(5-7). 609–615. 7 indexed citations
12.
Igarashi, Masao & Tjalling Ypma. (1997). Empirical versus asymptotic rate of convergence of a class of methods for solving a polynomial equation. Journal of Computational and Applied Mathematics. 82(1-2). 229–237. 4 indexed citations
13.
Czerlinski, George, Richard I. Levin, & Tjalling Ypma. (1997). Short-lived intermediates in aspartate aminotransferase systems. Biophysical Journal. 72(3). 1135–1142. 1 indexed citations
14.
Ypma, Tjalling, et al.. (1990). Solving nonlinear systems of equations with only one nonlinear variable. Journal of Computational and Applied Mathematics. 30(2). 235–246. 10 indexed citations
15.
Ypma, Tjalling. (1987). Efficient estimation of sparse Jacobian matrices by differences. Journal of Computational and Applied Mathematics. 18(1). 17–28. 3 indexed citations
16.
Ypma, Tjalling. (1986). Relaxed Newton-like methods for stiff differential systems. Journal of Computational and Applied Mathematics. 16(1). 95–103. 3 indexed citations
17.
Ypma, Tjalling. (1984). Convergence of Newton-like-iterative methods. Numerische Mathematik. 45(2). 241–251. 9 indexed citations
18.
Ypma, Tjalling. (1984). Local Convergence of Inexact Newton Methods. SIAM Journal on Numerical Analysis. 21(3). 583–590. 92 indexed citations
19.
Ypma, Tjalling. (1983). Local convergence of difference Newton-like methods. Mathematics of Computation. 41(164). 527–536. 11 indexed citations
20.
Ypma, Tjalling. (1982). Following paths through turning points. BIT Numerical Mathematics. 22(3). 368–383. 9 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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