Kaj Madsen

2.5k total citations · 1 hit paper
52 papers, 1.8k citations indexed

About

Kaj Madsen is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Control and Systems Engineering. According to data from OpenAlex, Kaj Madsen has authored 52 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Computational Theory and Mathematics, 21 papers in Numerical Analysis and 10 papers in Control and Systems Engineering. Recurrent topics in Kaj Madsen's work include Advanced Optimization Algorithms Research (18 papers), Numerical Methods and Algorithms (9 papers) and Advanced Multi-Objective Optimization Algorithms (6 papers). Kaj Madsen is often cited by papers focused on Advanced Optimization Algorithms Research (18 papers), Numerical Methods and Algorithms (9 papers) and Advanced Multi-Objective Optimization Algorithms (6 papers). Kaj Madsen collaborates with scholars based in Denmark, Canada and United States. Kaj Madsen's co-authors include Hans Bruun Nielsen, Ole Tingleff, J.W. Bandler, Jørgen Hald, Sławomir Kozieł, Jacob Søndergaard, Hans Schjær-Jacobsen, Mohamed H. Bakr, Claus Thorp Hansen and Mustafa Ç. Pı̆nar and has published in prestigious journals such as IEEE Transactions on Microwave Theory and Techniques, SIAM Journal on Numerical Analysis and Mathematical Programming.

In The Last Decade

Kaj Madsen

50 papers receiving 1.7k citations

Hit Papers

Methods for Non-Linear Least Squares Problems 1999 2026 2008 2017 1999 200 400 600

Peers

Kaj Madsen
Ward Cheney United States
Walter Gander Switzerland
Paul T. Boggs United States
Hans Sagan United States
Vance Faber United States
Stephen Nash United States
Stephen G. Nash United States
Jon W. Tolle United States
Ward Cheney United States
Kaj Madsen
Citations per year, relative to Kaj Madsen Kaj Madsen (= 1×) peers Ward Cheney

Countries citing papers authored by Kaj Madsen

Since Specialization
Citations

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

Fields of papers citing papers by Kaj Madsen

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Kaj Madsen

This figure shows the co-authorship network connecting the top 25 collaborators of Kaj Madsen. A scholar is included among the top collaborators of Kaj Madsen 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 Kaj Madsen. Kaj Madsen 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.
Madsen, Kaj, Hans Bruun Nielsen, & Ole Tingleff. (2025). Optimization with constraints, 2nd ed.. Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU).
2.
Bandler, J.W., Sławomir Kozieł, & Kaj Madsen. (2008). Editorial—surrogate modeling and space mapping for engineering optimization. Optimization and Engineering. 9(4). 307–310. 7 indexed citations
3.
Dongarra, Jack, Kaj Madsen, & Jerzy Waśniewski. (2006). Applied Parallel Computing: State of the Art in Scientific Computing (Lecture Notes in Computer Science). Springer eBooks. 4 indexed citations
4.
Bandler, J.W., et al.. (2004). Recent trends in space mapping technology. MacSphere (McMaster University). 1 indexed citations
5.
Madsen, Kaj, Hans Bruun Nielsen, & Ole Tingleff. (2004). Methods for Non-Linear Least Squares Problems (2nd ed.). Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU). 187 indexed citations
6.
Madsen, Kaj, et al.. (2003). Døgninstitutionen som en del af familiens netværk. 89. 62–69.
7.
Madsen, Kaj, Hans Bruun Nielsen, & Jacob Søndergaard. (2002). ROBUST SUBROUTINES FOR NON-LINEAR OPTIMIZATION. Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU). 15 indexed citations
8.
Madsen, Kaj & Hans Bruun Nielsen. (2002). Supplementary Notes for Course 02611 Optimization and Data Fitting. Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU). 1 indexed citations
9.
Bandler, J.W. & Kaj Madsen. (2001). Surrogate Modelling and Space Mapping for Engineering Optimization. Optimization and Engineering. 2(4). 367–368. 11 indexed citations
10.
Bakr, Mohamed H., J.W. Bandler, Kaj Madsen, & Jacob Søndergaard. (2001). An Introduction to the Space Mapping Technique. Optimization and Engineering. 2(4). 369–384. 68 indexed citations
11.
Madsen, Kaj, Hans Bruun Nielsen, & Ole Tingleff. (1999). Methods for Non-Linear Least Squares Problems. Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU). 726 indexed citations breakdown →
12.
Madsen, Kaj, Hans Bruun Nielsen, & Mustafa Ç. Pı̆nar. (1999). Bound constrained quadratic programming via piecewise quadratic functions. Mathematical Programming. 85(1). 135–156. 14 indexed citations
13.
Dongarra, Jack, et al.. (1996). Applied parallel computing : computations in physics, chemistry and engineering science : Second International Workshop, PARA '95, Lyngby, Denmark, August 21-24, 1995 : proceedings. Medical Entomology and Zoology. 1 indexed citations
14.
Madsen, Kaj, et al.. (1996). Enclosing Solutions of Integral Equations. Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU). 45–51. 6 indexed citations
15.
Madsen, Kaj, et al.. (1994). Use of a Real-Valued Local Minimum in Parallel Interval Global Optimization. 6(Pt 1). 82–512.11. 18 indexed citations
16.
Madsen, Kaj, Hans Bruun Nielsen, & Mustafa Ç. Pı̆nar. (1994). New characterizations of ℓ1 solutions to overdetermined systems of linear equations. Operations Research Letters. 16(3). 159–166. 16 indexed citations
17.
Madsen, Kaj & Hans Bruun Nielsen. (1993). A Finite Smoothing Algorithm for Linear $l_1 $ Estimation. SIAM Journal on Optimization. 3(2). 223–235. 55 indexed citations
18.
Madsen, Kaj, et al.. (1989). Algorithms for non-linear huber estimation. BIT Numerical Mathematics. 29(1). 60–76. 14 indexed citations
19.
Madsen, Kaj, et al.. (1981). Integration of Interval Functions. SIAM Journal on Mathematical Analysis. 12(3). 321–341. 19 indexed citations
20.
Madsen, Kaj, et al.. (1978). Iterative methods for interval inclusion of fixed points. BIT Numerical Mathematics. 18(1). 42–51. 23 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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