William Karush

William Karush
Born	March 1, 1917
Died	February 22, 1997 (aged 79)
Nationality	American
Fields	Mathematics
Institutions	California State University at Northridge
Alma mater	University of Chicago
Doctoral advisor	Magnus Hestenes
Known for	Contribution to Karush–Kuhn–Tucker conditions

William Karush (1 March 1917 – 22 February 1997) was a professor of California State University at Northridge and was a mathematician best known for his contribution to Karush–Kuhn–Tucker conditions. In his master's thesis he was the first to publish these necessary conditions for the inequality-constrained problem,^[1] although he became renowned after a seminal conference paper by Harold W. Kuhn and Albert W. Tucker.^[2]

Selected works

• Webster's New World Dictionary of Mathematics, MacMillan Reference Books, Revised edition (April 1989), ISBN 978-0-13-192667-7
• On the Maximum Transform and Semigroups of Transformations (1962), Richard Bellman, William Karush,
• The crescent dictionary of mathematics, general editor (1962) William Karush, Oscar Tarcov
• Isoperimetric problems & index theorems. (1942), William Karush, Thesis (Ph.D.) University of Chicago, Department of Mathematics.
• Minima of functions of several variables with inequalities as side conditions, William Karush. (1939), Thesis (M.S.) – University of Chicago, 1939.^[1]

See also

• Karush–Kuhn–Tucker conditions
• Szilárd petition

References

1. W. Karush (1939). "Minima of Functions of Several Variables with Inequalities as Side Constraints". M.Sc. Dissertation. Dept. of Mathematics, Univ. of Chicago, Chicago, Illinois.. Available from http://wwwlib.umi.com/dxweb/details?doc_no=7371591 (for a fee)
2. Kuhn, H. W.; Tucker, A. W. (1951). "Nonlinear programming". Proceedings of 2nd Berkeley Symposium. Berkeley: University of California Press. pp. 481–492.

External links

• William Karush at the Mathematics Genealogy Project