William Karush | Academic Influence

William Karush's AcademicInfluence.com Rankings

William Karush

Mathematics

#1251

World Rank

#2093

Historical Rank

#523

USA Rank

Measure Theory

#2895

World Rank

#3442

Historical Rank

#835

USA Rank

mathematics Degrees

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Mathematics

William Karush's Degrees

PhD Mathematics University of Chicago
Bachelors Mathematics University of Chicago

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Why Is William Karush Influential?

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According to Wikipedia, William Karush was an American 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, although he became renowned after a seminal conference paper by Harold W. Kuhn and Albert W. Tucker. He also worked as a physicist for the Manhattan Project, although he signed the Szilárd petition and became a peace activist afterwards.

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William Karush's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A method of gradients for the calculation of the characteristic roots and vectors of a real symmetric matrix (1951) (100)
A Queuing Model for an Inventory Problem (1957) (78)
An iterative method for finding characteristic vectors of a symmetric matrix (1951) (67)
Mathematical Programming and the Maximum Transform (1962) (54)
A theorem in convex programming (1959) (50)
On a new functional transform in analysis: The maximum transform (1961) (38)
Optimal stimulus presentation strategy for a stimulus sampling model of learning (1966) (37)
On the maximum transform (1963) (35)
Solutions of Ax = gamma Bx1 (1951) (29)
A General Algorithm for the Optimal Distribution of Effort (1962) (28)
On a Class of Minimum-Cost Problems (1958) (23)
Webster's New World Dictionary of Mathematics (1989) (21)
Separation of close eigenvalues af a real symmetric matrix (1951) (19)
On the maximum transform and semigroups of transformations (1962) (18)
Letter to the Editor-A Counterexample to a Proposed Algorithm for Optimal Sequencing of Jobs (1965) (18)
Optimal Strategy for Item Presentation in a Learning Process (1967) (16)
Functional equations in the theory of dynamic programming XII: An application of the maximum transform (1963) (14)
Mathematical Programming and Service Scheduling (1957) (13)
Convergence of a method of solving linear problems (1952) (12)
Temperature Rise in a Heat-Producing Solid behind a Surface Defect (1952) (9)
The Crescent Dictionary of Mathematics (1987) (9)
The distance to the origin of a certain point set in ⁿ (1955) (5)
Mathematical programming and employmeet scheduling (1957) (4)
OPTIMAL PROCEDURE FOR AN N-STAGE TESTING AND LEARNING PROCESS. (1965) (4)
A Steady‐State Heat Flow Problem for a Quarter Infinite Solid (1952) (3)
Determination of Feasible Shipping Schedules for a Job Shop (1958) (3)
Isoperimetric Problems in the Calculus of Variations (1952) (3)
MATHEMATICAL PROGRAMMING, MAN-COMPUTER SEARCH AND SYSTEM CONTROL (1962) (3)
A semi-strong minimum for a multiple integral problem in the calculus of variations (1948) (2)
LECTURES ON DECISION THEORY (1963) (2)
Determination of the extreme values of the spectrum of a bounded self-adjoint operator (1951) (2)
Stability of a Method of Smoothing in a Digital Control Computer (1955) (1)
The Index of an Extremal Arc (1952) (1)
An Optimal Procedure for an N-Stage Learning Process (1966) (1)
ON SCHEDULING A NETWORK OF ACTIVITIES UNDER RESOURCE RESTRAINTS OVER TIME (1966) (1)
CONTRACTION PRESSURE DEVELOPED BY SPLIT CYLINDRICAL SHELLS (1944) (0)
Fundamental mathematics : prepared for the general course Mathematics 1 in the College (1948) (0)
DUALITY AND NETWORK FLOW (1963) (0)
Thermal Contraction of a Split Hollow Cylinder (1953) (0)
STABILITY OF SPLIT HOLLOW CYLINDERS (1944) (0)
ON AN UNSOLVED PROBLEM IN OPTIMAL SEQUENCING. (1964) (0)
FURTHER END CAP TEMPERATURE CALCULATIONS (1944) (0)
DECENTRALIZED MANPOWER ALLOCATION BY SHADOW PRICING. (1964) (0)
TEMPERATURE RISE IN A HEAT PRODUCING CYLINDER UNDER A COATING DEFECT (1944) (0)
COMPUTATIONAL STUDIES OF PRESENTATION STRATEGIES FOR A MULTILEVEL MODEL OF LEARNING. (1966) (0)

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