“Adi Ben-Israel”的意思、由来-开放百科全书

词条

Adi Ben-Israel

释义

Research topics
Publications
References
External links

Adi Ben-Israel (Hebrew: עדי בן-ישראל, born November 6, 1933) is a mathematician and an engineer, working in applied mathematics, optimization, statistics, operations research and other areas.^[1] He is a Professor of Operations Research at Rutgers University, New Jersey.

Research topics

Ben-Israel's research has included generalized inverses of matrices, in particular the Moore–Penrose pseudoinverse,^[2] and of operators, their extremal properties, computation and applications. as well as local inverses of nonlinear mappings. In the area of linear algebra, he studied the matrix volume and its applications, basic, approximate and least-norm solutions, and the geometry of subspaces. He wrote about ordered incidence geometry and the geometric foundations of convexity.

In the topic of iterative methods, he published papers about the Newton method for systems of equations with rectangular or singular Jacobians, directional Newton methods, the quasi-Halley method, Newton and Halley methods for complex roots, and the inverse Newton transform.

Ben-Israel's research into optimization included linear programming, a Newtonian bracketing method of convex minimization, input optimization, and risk modeling of dynamic programming, and the calculus of variations. He also studied various aspects of clustering and location theory, and investigated decisions under uncertainty.

Publications

Books

Generalized Inverses: Theory and Applications, with T.N.E. Greville, J. Wiley, New York, 1974^[3]^[4]
Optimality in Nonlinear Programming: A Feasible Directions Approach, with A. Ben-Tal and S. Zlobec, J. Wiley, New York, 1981
Mathematik mit DERIVE (German), with W. Koepf and R.P. Gilbert, Vieweg-Verlag, Berlin, {{ISBN|3-528-06549-4}}, 1993
Computer Supported Calculus: With MACSYMA, with R.P. Gilbert, Springer-Verlag, Vienna, {{ISBN|3-211-82924-5}}, 2001
Generalized Inverses: Theory and Applications (2nd edition), with T.N.E. Greville, Springer-Verlag, New York, {{ISBN|0-387-00293-6}}, 2003

Selected articles

Contributions to the theory of generalized inverses, J. Soc. Indust. Appl. Math. 11(1963), 667–699, (with A. Charnes)

A Newton–Raphson method for the solution of systems of equations, J. Math. Anal. Appl. 15(1966), 243–252
Linear equations and inequalities on finite-dimensional, real or complex, vector spaces: A unified theory, J. Math. Anal. Appl. 27(1969), 367–389

Ordered incidence geometry and the geometric foundations of convexity theory, J. Geometry 30(1987), 103–122, (with A. Ben-Tal)
Input optimization for infinite horizon discounted programs, J. Optimiz. Th. Appl. 61(1989), 347–357, (with S.D. Flaam)
Certainty equivalents and information measures: Duality and extremal principles, J. Math. Anal. Appl. 157(1991), 211–236 (with A. Ben-Tal and M. Teboulle).
A volume associated with mxn matrices, Lin. Algeb. and Appl. 167(1992), 87–111.
The Moore of the Moore–Penrose inverse, Electron. J. Lin. Algeb. 9(2002), 150–157.^[3]
The Newton bracketing method for convex minimization, Comput. Optimiz. and Appl. 21(2002), 213–229 (with Y. Levin).
An inverse Newton transform, Contemporary Math. 568(2012), 27–40.
A concentrated Cauchy distribution with finite moments, Annals of Oper. Res. (to appear)

References

1. ^{{cite web|last=Ben-Israel|first=A.|title=Personal webpage|url=http://benisrael.net/Adi.html}}
2. ^{{cite book|author=Jonathan S. Golan|title=The Linear Algebra a Beginning Graduate Student Ought to Know|url=https://books.google.com/books?id=inwjR-k1dlkC&pg=PA445|date=23 April 2012|publisher=Springer Science & Business Media|isbn=978-94-007-2636-9|pages=445–}}
3. ^¹{{cite book|author=Christopher Hollings|title=Mathematics across the Iron Curtain: A History of the Algebraic Theory of Semigroups|url=https://books.google.com/books?id=O9wJBAAAQBAJ&pg=PA378|date=16 July 2014|publisher=American Mathematical Society|isbn=978-1-4704-1493-1|pages=378–}}
4. ^{{cite book|author=K.P.S. Bhaskara Rao|title=Theory of Generalized Inverses Over Commutative Rings|url=https://books.google.com/books?id=L3ulLeiOH30C&pg=PR10|date=2 September 2003|publisher=CRC Press|isbn=978-0-203-21887-7|pages=10–}}

External links

Adi Ben-Israel personal webpage
Adi Ben-Israel at the Mathematics Genealogy Project

5 : Rutgers University faculty|Living people|1933 births|American mathematicians|Place of birth missing (living people)

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