William Karush

1.5k total citations
29 papers, 468 citations indexed

About

William Karush is a scholar working on Computational Theory and Mathematics, Industrial and Manufacturing Engineering and Control and Systems Engineering. According to data from OpenAlex, William Karush has authored 29 papers receiving a total of 468 indexed citations (citations by other indexed papers that have themselves been cited), including 9 papers in Computational Theory and Mathematics, 7 papers in Industrial and Manufacturing Engineering and 6 papers in Control and Systems Engineering. Recurrent topics in William Karush's work include Scheduling and Optimization Algorithms (5 papers), Reinforcement Learning in Robotics (4 papers) and Advanced Control Systems Optimization (4 papers). William Karush is often cited by papers focused on Scheduling and Optimization Algorithms (5 papers), Reinforcement Learning in Robotics (4 papers) and Advanced Control Systems Optimization (4 papers). William Karush collaborates with scholars based in United States and Canada. William Karush's co-authors include Richard Bellman, Magnus R. Hestenes, Cornelius Lanczos, Gale Young, Andrew Vázsonyi, J. Barkley Rosser and D. S. and has published in prestigious journals such as Journal of Applied Physics, Management Science and Mathematics of Computation.

In The Last Decade

William Karush

27 papers receiving 351 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
William Karush United States	11	176	103	81	68	57	29	468
Franz E. Hohn United States	10	152 0.9×	76 0.7×	10 0.1×	72 1.1×	30 0.5×	17	611
W. B. Jurkat Germany	17	213 1.2×	27 0.3×	165 2.0×	51 0.8×	9 0.2×	78	974
Ján Lang United States	15	190 1.1×	75 0.7×	103 1.3×	79 1.2×	39 0.7×	74	696
Peter Nash United Kingdom	5	136 0.8×	42 0.4×	116 1.4×	43 0.6×	11 0.2×	9	437
Anthony L. Peressini United States	6	274 1.6×	13 0.1×	120 1.5×	17 0.3×	9 0.2×	14	727
Walter A. Rosenkrantz United States	12	159 0.9×	77 0.7×	45 0.6×	5 0.1×	11 0.2×	38	1.0k
J. Ponstein Netherlands	9	200 1.1×	28 0.3×	138 1.7×	16 0.2×	4 0.1×	21	425
Volker Nollau Germany	7	83 0.5×	18 0.2×	13 0.2×	12 0.2×	13 0.2×	33	325
Edgar Reich United States	15	89 0.5×	286 2.8×	9 0.1×	28 0.4×	8 0.1×	66	905

Countries citing papers authored by William Karush

Since Specialization

Citations

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

Fields of papers citing papers by William Karush

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of William Karush

This figure shows the co-authorship network connecting the top 25 collaborators of William Karush. A scholar is included among the top collaborators of William Karush 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 William Karush. William Karush is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Karush, William, et al.. (1967). Optimal Strategy for Item Presentation in a Learning Process. Management Science. 13(11). 773–785. 7 indexed citations

Karush, William, et al.. (1966). An Optimal Procedure for an N-Stage Learning Process. SIAM Journal on Control. 4(1). 116–129. 1 indexed citations

Karush, William, et al.. (1966). Optimal stimulus presentation strategy for a stimulus sampling model of learning. Journal of Mathematical Psychology. 3(1). 19–47. 23 indexed citations

Karush, William. (1963). LECTURES ON DECISION THEORY,. Defense Technical Information Center (DTIC). 1 indexed citations

Bellman, Richard & William Karush. (1963). On the maximum transform. Journal of Mathematical Analysis and Applications. 6(1). 67–74. 19 indexed citations

Bellman, Richard & William Karush. (1963). Functional equations in the theory of dynamic programming XII: An application of the maximum transform. Journal of Mathematical Analysis and Applications. 6(1). 155–157. 10 indexed citations

S., D. & William Karush. (1963). The Crescent Dictionary of Mathematics. Mathematics of Computation. 17(84). 478–478. 4 indexed citations

Bellman, Richard & William Karush. (1962). On the maximum transform and semigroups of transformations. Bulletin of the American Mathematical Society. 68(5). 516–519. 10 indexed citations

Karush, William. (1962). A General Algorithm for the Optimal Distribution of Effort. Management Science. 9(1). 50–72. 24 indexed citations

10.

Karush, William. (1959). A theorem in convex programming. Naval Research Logistics Quarterly. 6(3). 245–260. 45 indexed citations

11.

Karush, William. (1958). On a Class of Minimum-Cost Problems. Management Science. 4(2). 136–153. 15 indexed citations

12.

Karush, William, et al.. (1958). Determination of Feasible Shipping Schedules for a Job Shop. Operations Research. 6(1). 35–55. 4 indexed citations

13.

Karush, William & Andrew Vázsonyi. (1957). Mathematical programming and employmeet scheduling. Naval Research Logistics Quarterly. 4(4). 297–320. 3 indexed citations

14.

Karush, William. (1955). Stability of a Method of Smoothing in a Digital Control Computer. EC-4(1). 26–31. 1 indexed citations

15.

Karush, William, et al.. (1955). The distance to the origin of a certain point set in 𝐸ⁿ. Proceedings of the American Mathematical Society. 6(2). 323–332. 3 indexed citations

16.

Karush, William. (1952). The Index of an Extremal Arc. Canadian Journal of Mathematics. 4. 281–294. 1 indexed citations

17.

Karush, William. (1952). Convergence of a method of solving linear problems. Proceedings of the American Mathematical Society. 3(6). 839–851. 8 indexed citations

18.

Karush, William. (1952). Isoperimetric Problems in the Calculus of Variations. Canadian Journal of Mathematics. 4. 257–280. 1 indexed citations

19.

Karush, William. (1951). Determination of the extreme values of the spectrum of a bounded self-adjoint operator. Proceedings of the American Mathematical Society. 2(6). 980–989. 4 indexed citations

20.

Rosser, J. Barkley, Cornelius Lanczos, Magnus R. Hestenes, & William Karush. (1951). Separation of close eigenvalues af a real symmetric matrix. Journal of research of the National Bureau of Standards. 47(4). 291–291. 18 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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