Adi Ben-Israel  bisrael@rutcor.rutgers.edu

Hans Holbein (the Younger), The Ambassadors (part), 1533

• How to reach me if you must
• What am I doing at  ? (a good question)
• Research Interests
• Some recent publications
• Recent lectures
• Selected Math.Reviews
• Social life
• Mathematical Geneology
• Fun project: Iterative methods and complex dynamics
• Community service
• Webumé
• Serious Stuff
• Miscellany
• Rutgers University

How to reach me : 

bisrael@rutcor.rutgers.edu	Room 113, RUTCOR Bldg.  Busch Campus, Piscataway  or  Room 249, Levin Bldg. (Business School)  Livingston Campus
732-445-5631 (Office, RUTCOR)  732-445-3243 (Office, Business School)  732-445-5472 (FAX, Office)	Mailing address: Prof. Adi Ben-Israel  RUTCOR-Rutgers Center for Operations Research  Rutgers, The State University of New Jersey  640 Bartholomew Rd  Piscataway, NJ 08854-8003

What am I doing at Rutgers  

Professor

• Department of Management Science & Information Sytems ( MSIS )
• Mathematics Department
• Past courses:
• Operations Management for MBA, Fall 1997, 22:711:578
• Operations Management for MBA, Fall 1999, 22:711:578:61
• Convex Analysis, Fall 1997, 16:711:613
• Linear Algebra, Fall 1996, 16:642:550:01
• Dynamic Programming, Fall 2000, 16:711:611:01
• Optimal Control Models & Applications, Fall 1996, 16:711:613
• Operations Management, Spring 1997, 33:623:386:07

• Rutgers Center for Operations Research ( RUTCOR )
• Center for Discrete Mathematics & Theoretical Computer Science (DIMACS )

Research interests

• Linear Algebra. Matrix Theory
• Optimization. Convexity. Inequalities.
• Numerical Analysis. Iterative Methods: Newton, Halley, etc.
• Stochastic Programming. Decisions under Uncertainty
• Dynamic Programming. Optimal Control.
• Symbolic Computation.

Some recent publications and reviews

• A. Ben-Tal, A. Ben-Israel and M.Teboulle , Certainty Equivalents and Generalized Information Measures: Duality and Extremal Principles , J. Math. Anal. Appl. 157(1991), 211-236
• A. Ben-Israel, A Volume associated with m x n Matrices , Lin. Algeb. and Appl. 167(1992), 87-111
• J. Miao and A. Ben-Israel, On Principal Angles between Subspaces in R^n , Lin. Algeb. and Appl. 171(1992), 81-98
• W. Koepf , A. Ben-Israel and R.P. Gilbert, Mathematik mit DERIVE (German), Vieweg-Verlag, Berlin, 1993, xiv + 394 pp.,ISBN 3-528-06549-4
• J. Miao and A. Ben-Israel, On Lp-Approximate Solutions of Linear Equations ,  Lin. Algeb. and Appl. 199(1994), 305-327
• J. Miao and A. Ben-Israel, The Geometry of Basic, Approximate, and Minimum Norm Solutions of Linear Equations ,Lin. Algeb. and Appl.  216(1995), 25--42
• R.B. Bapat and A. Ben-Israel, Singular Values and Maximum Rank Minors of Generalized Inverses ,Lin. and Multilin. Algeb. 40(1995), 153-161
• J. Miao and A. Ben-Israel,  Product Cosines of Angles between Subspaces , Lin. Algeb. and Appl. 237/238(1996),71-81
• A. Ben-Israel, Newton Method with Modified Functions , Contemporary Math. 204(1997), 39-50
• A. Ben-Israel and A. Ben-Tal, Duality and Equilibrium Prices in Economics of Uncertainty , Math. Meth. of O.R. 46(1997), 51-85
• X. Tang and A. Ben-Israel, Two Consequences of Minkowski's 2^n Theorem , Discrete Mathematics 169 (1997),279-282
• L. Yau and A. Ben-Israel, T h e Newton and Halley Methods for Complex Roots , Amer. Math. Monthly 105(1998), 806-818
• A. Ben-Israel, The Change of Variables Formula using Matrix Volume , SIAM J. Matrix Analysis 21(1999),300-312
• A. Ben-Israel and S. Foldes, Complementary Halfspaces and Trigonometric Ceva-Brocard Inequalities for Polygons , Math. Ineq. Appl. 2(1999), 307-316
• A. Ben-Israel and S. Foldes, Stability of BrocardPoints of Polygons , Rocky Mountain J. Math. 30(2000), 411-434
• A. Ben-Israel, A Local Inverse for Nonlinear Mappings , Numerical Algorithms (to appear)
• A. Ben-Israel, An Application of the Matrix Volume in Probability , Lin. Algeb. and Appl. 321(2001), 9-25
• A. Ben-Israel, Multi-Stage Decisions under Uncertainty and the Modelling of Risk in Markov Decision Processes
• S. Levitt and A. Ben-Israel,  On Modelling Risk in Markov Decision Processes,    pp. 27-40 in Optimization and Related Topics (A. Rubinov a B. Glover, editors), Kluwer, 2001
• A. Ben-Israel, Probability and Simulation with Maple (postscript file), Maple programs
• Y. Levin and A. Ben-Israel, Directional Newton Methods in n Variables (dvi file. postsciptfile ), Maple programs, Math. of Computations (to appear)
• Y. Levin, M. Nediak and A. Ben-Israel, A Direct Approach to Calculus of Variations via Newton-Raphson Method
• Y. Levin and A. Ben-Israel,  Directional Halley and Quasi-Halley Methods in n Variables,
• Y. Levin and A. Ben-Israel, A Newton Method for Systems of m Equations in n Unknowns ,  Nonlinear Analysis (to appear)
• A. Ben-Israel, Motzkin's Transposition Theorem , Encyclopedia of Mathematics (to appear)
• Y. Levin and A. Ben-Israel, The Newton Bracketing Method for Convex Minimization
• A. Ben-Israel and R.P. Gilbert, Computer-Supported Calculus , Springer-Wien,  2002. XI, 609 pp. 191 figs. Hardcover,                             3-211-82924-5

 

• Int'l Linear Algebra Conference , Haifa, June 25-29, 2001
• The 3rd International ISAAC Congress , Berlin, August 20-25, 2001
• Ninth International Workshop on Matrices and Statistics in Celebration of C.R. Rao's 80th Birthday , Hyderabad, December 9-13, 2000
• World Congress of Nonlinear Analysts (WCNA-2000) , Catania, July, 2000
• Centre de Recherches Mathematiques , Montreal, April 14, 2000
• Research Workshop on Inherently Parallel Algorithms in Feasibility & Optimization and their Applications , Haifa, March 13-16, 2000
• Indian Statistical Institute , Delhi, January 3, 2000
• ICTCM , San Francisco, November 4-7, 1999
• George Mason University , April 30, 1999
• A Conference in Honor of Richard Varga's 70th Birthday , Kent State University, March 25-27,1999
• The Eleventh Haifa Matrix Theory Conference , Technion, June 20-26, 1999
• International Joint Mathematics Meeting , University of Melbourne, July 12-16, 1999,
• in particular, Special Session on  Operations Research Methods & Applications .

1999 MiniConference on Optimization , University of Ballarat, July 17, 1999

• The International Linear Algebra Society (ILAS)
• Mathematical Inequalities & Applications (MIA)
• Research Group in Mathematical Inequalities & Applications (RGMIA)

Working Group on Generalized Convexity (WGGC)

• Jacob Bernoulli
• Johann Bernoulli
• Leonhard Euler
• Joseph Louis Lagrange
• Simeon Denis Poisson
• Michel Chasles
• Hubert Anson Newton
• Eliakim Hastings Moore    (the Moore-Penrose inverse is family business)
• George David Birkhoff
• David Gordon Bourgin
• Abraham Charnes

Community service

• Editor (with Prof.Bob Gilbert )of Computation in Education: Mathematics, Science and Engineering ,A Series of Texts & Monographs, Gordon & Breach Publishers
• Fellow, The International Society for Analysis, itsApplicationsand Computation ( ISAAC )
• Past meetings (I helped organize):
• MPDP 20 Twentieth Symposium on Mathematical Programming with Data Perturbations , George Washington University,Washington, DC, May 21-22, 1998
• INFORMS, Israel 1998 Management Science and Operations Research in an Emerging Region, Tel-Aviv, Israel,June 28-July 1, 1998
• MPDP 19 Nineteenth Symposium on MathematicalProgramming with Data Perturbations , George Washington University,Washington, DC, May 22-23, 1997
• ISAAC 97 The First International Congress of the International Society for Analysis, its Applications and Computation, University of Delaware, Newark, DE, June3-7, 1997

Webumé

My wife Yoki is an artist (sculpture & jewelry). We have a daughter, Eris ,and a son, Yermi .

I studied Mechanical Engineering (B.Sc. & Diploma, 1955)and Operations Research & Statistics (M.Sc. 1959) at the Technion -Israel Institute of Technology, and Engineering Science: Applied Mathematics (Ph.D. 1962) at  Northwestern University .

At Rutgers University since 1988. Before that I was a faculty memberat the University of Delaware (Math., 1976-1988), Technion-Israel Institute of Technology (Appl. Math., 1970-1975) and Northwestern University (Engrg. Sci. & Indust. Engrg., 1965-1970). I also worked as an engineer.

I had great teachers: Paul Naor (Technion) and Abraham Charnes (Northwestern Univ.); both gone and badly missed.

I was also fortunate to have excellent students, including:

• Prof. Robert Abrams , Information & Decision Sciences, University of Illinois at Chicago
• Prof. Ronny Ben-Tal , Industrial Engineering & Management, Technion, Israel
• Prof. Avi Berman, Mathematics ,Technion, Israel
• Prof. Yair Censor , Mathematics, University of Haifa, Israel
• Prof. Sjur Flåm , Economics, University of Bergen, Norway
• Dr. Matthias Kramp, Procter & Gamble, Frankfurt, Germany
• Dr. Malini Krishnamurti, Eastman-Kodak, Rochester, NY
• Prof. Yuri Levin , Rutgers Univ., NJ
  
• Dr. Jianming Miao, ATT, NJ
• Prof. Prabha Sharma , Mathematics, Indian Instititute of Technology, Kanpur, India
• Dr. Xueqing Tang, IBM, Naperville, IL
• Prof. Sanjo Zlobec, Mathematics , McGill University, Montreal, Canada
• Dr. Fuan Zhao, Instinet, New York

Serious Stuff

• Free Ron Arad!
• Conference for Middle East Peace

Miscellany

• The postmodernist essay of the day (thanks to the good people at Monash University, Australia)
• The postmodernism generator , if you want to generate another essay like that
• The Alan Sokal affair.
• The Bulwer-Lytton Fiction Contest
• The Outrage du Jour Archive
• The amazing Manfred Mickleson
• A list of honest politicians
• Affirmative Action, Malaysian style.
• Mathematician suing a paper company
• Heather Has Two Mommies
• Jokes

Rutgers University

• 1000 Men and Womenof Rutgers
• Why Sports Corrupt?
• The Scarlet Nights Motel
• Can Rutgers be asGood as Trenton State?
• Do SAT comparisons matter?