Karl Gustafson

2.1k total citations
119 papers, 1.3k citations indexed

About

Karl Gustafson is a scholar working on Computational Theory and Mathematics, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Karl Gustafson has authored 119 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Computational Theory and Mathematics, 36 papers in Mathematical Physics and 30 papers in Applied Mathematics. Recurrent topics in Karl Gustafson's work include Matrix Theory and Algorithms (28 papers), Spectral Theory in Mathematical Physics (23 papers) and Quantum Mechanics and Applications (13 papers). Karl Gustafson is often cited by papers focused on Matrix Theory and Algorithms (28 papers), Spectral Theory in Mathematical Physics (23 papers) and Quantum Mechanics and Applications (13 papers). Karl Gustafson collaborates with scholars based in United States, Belgium and Switzerland. Karl Gustafson's co-authors include Joachim Weidmann, I. J. Maddox, I. Αντωνίου, B. Misra, R. R. Leben, John W. Goodrich, G. Lumer, R. L. Hartman, D. Sather and J. Bernasconi and has published in prestigious journals such as SHILAP Revista de lepidopterología, Physics Today and Journal of Computational Physics.

In The Last Decade

Karl Gustafson

114 papers receiving 1.2k citations

Peers

Karl Gustafson
Harold R. Parks United States
M. Sh. Birman Russia
Mark A. Pinsky United States
Hassler Whitney United States
Paolo Tilli Italy
Michela Redivo‐Zaglia Italy
T. Andô Japan
Gerhard Schmeißer Germany
Jacques Faraut France
Harold S. Shapiro Sweden
Harold R. Parks United States
Karl Gustafson
Citations per year, relative to Karl Gustafson Karl Gustafson (= 1×) peers Harold R. Parks

Countries citing papers authored by Karl Gustafson

Since Specialization
Citations

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

Fields of papers citing papers by Karl Gustafson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Karl Gustafson

This figure shows the co-authorship network connecting the top 25 collaborators of Karl Gustafson. A scholar is included among the top collaborators of Karl Gustafson 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 Karl Gustafson. Karl Gustafson 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.
Gustafson, Karl & Jeffrey J. Hunter. (2016). Why the Kemeny Time is a constant. SHILAP Revista de lepidopterología. 8 indexed citations
2.
Gustafson, Karl. (2009). Operator trigonometry of Hotelling correlation, Frobenius condition, Penrose twistor. Linear Algebra and its Applications. 430(10). 2762–2770. 2 indexed citations
3.
Gustafson, Karl. (2009). Operator trigonometry of multivariate finance. Journal of Multivariate Analysis. 101(2). 374–384. 2 indexed citations
4.
Gustafson, Karl, et al.. (2009). Slant antieigenvalues and slant antieigenvectors of operators. Linear Algebra and its Applications. 432(5). 1348–1362. 4 indexed citations
5.
Gustafson, Karl & George P. H. Styan. (2009). Superstochastic matrices and magic Markov chains. Linear Algebra and its Applications. 430(10). 2705–2715. 1 indexed citations
6.
Gustafson, Karl. (2007). Interconnections of Quantum, Machine and Human Learning.. National Conference on Artificial Intelligence. 56–62. 1 indexed citations
7.
Gustafson, Karl. (2002). Operator trigonometry of statistics and econometrics. Linear Algebra and its Applications. 354(1-3). 141–158. 15 indexed citations
8.
Gustafson, Karl. (2000). An extended operator trigonometry. Linear Algebra and its Applications. 319(1-3). 117–135. 21 indexed citations
9.
Gustafson, Karl. (1998). Operator trigonometry of the model problem. Numerical Linear Algebra with Applications. 5(5). 377–399. 7 indexed citations
10.
Gustafson, Karl. (1997). Operator spectral states. Computers & Mathematics with Applications. 34(5-6). 467–508. 12 indexed citations
11.
Gustafson, Karl. (1994). Antieigenvalues. Linear Algebra and its Applications. 208-209. 437–454. 12 indexed citations
12.
Gustafson, Karl, et al.. (1993). A Note on Total Antieigenvectors. Journal of Mathematical Analysis and Applications. 178(2). 603–611. 16 indexed citations
13.
Bernasconi, J. & Karl Gustafson. (1991). Human and Machine 'Quick Modeling'. Neural Information Processing Systems. 4. 1151–1158. 3 indexed citations
14.
Goodrich, John W., et al.. (1989). Hopf bifurcation in the driven cavity. STIN. 90. 11969. 2 indexed citations
15.
Gustafson, Karl & Frank Harary. (1985). The curl of graphs and networks. Mathematical Modelling. 6(2). 145–155. 1 indexed citations
16.
Gustafson, Karl, et al.. (1983). On the divergence-free (i.e., mass conservation, solenoidal) condition in computational fluid dynamics - How important is it?. 617–626. 3 indexed citations
17.
Gustafson, Karl & Duggirala K. M. Rao. (1977). Numerical range and accretivity of operator products. Journal of Mathematical Analysis and Applications. 60(3). 693–702. 14 indexed citations
18.
Calvert, Bruce & Karl Gustafson. (1972). Multiplicative perturbation of nonlinear m-accretive operators. Journal of Functional Analysis. 10(2). 149–158. 9 indexed citations
19.
Gustafson, Karl & Ken‐iti Sato. (1969). Some perturbation theorems for nonnegative contraction semigroups*. Journal of the Mathematical Society of Japan. 21(2). 11 indexed citations
20.
Gustafson, Karl & Joachim Weidmann. (1969). On the essential spectrum. Journal of Mathematical Analysis and Applications. 25(1). 121–127. 78 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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Rankless by CCL
2026