William Karush

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William Karush
Born(1917-03-01)March 1, 1917
Chicago, IL
DiedFebruary 22, 1997(1997-02-22) (aged 79)
Alma materUniversity of Chicago
Known forContribution to Karush–Kuhn–Tucker conditions
Scientific career
InstitutionsCalifornia State University at Northridge
Doctoral advisorMagnus Hestenes

William Karush (1 March 1917 – 22 February 1997) was a professor of mathematics at 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[edit]

  • 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[edit]


  1. ^ a b 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. Cite journal requires |journal= (help). 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[edit]