Shmuel Friedland

Shmuel Friedland , University of Illinois, Chicago
 

Office: SEO 715 
Phone: (312) 413-2176
Email: friedlan@uic.edu
Departmental Fax: (312) 996-1491 
Departmental reception: (312) 996-3041

EDUCATION:

• D.Sc. in Mathematics 
• Israel Institute of Technology, 1971 
• Title: Extremal eigenvalue problems for convex sets of symmetric matrices and operators 
• Thesis Advisor: B. Schwarz 

• The first Hans Schneider prize in Linear Algebra awarded by ILAS (International Linear Algebra Society) in 1993, jointly with M. Fiedler and I. Gohberg #
  
• Salmon prize for solution of the set-theoretic version of Salmon conjecture posed by E.A. Allman 2010 #
  

• Nonoscillation and integral inequalities, Bull. Amer. Math. Soc. 80 (1974), 715-717.
  
• Some inequalities for the spectral radius of nonnegative matrices and applications, (with Samuel Karlin), Duke Mathematical Journal 42 (1975), 459-490.
  
• Nonoscillation, disconjugacy and integral inequalities, Memoirs Amer. Math. Soc. 176 (1976), 78 pp.
  
• A lower bound for the permanent of doubly stochastic matrices, Annals of Mathematics 110 (1979), 167-176.
  
• Inverses of infinite sign regular matrices, (with C. de Boor and A. Pincus), Trans. Amer. Math. Soc. 274 (1982),  59-68.
• Simultaneous similarity of matrices, Bull. Amer. Math. Soc. 8 (1983), 93-95.
• Simultaneous similarity of matrices, Advances in Mathematics 50 (1983), 189-265.
• On the crossing rule, (with J. Robbin and J. Sylvester), Communications in Pure and Applied Mathematics 37 (1984), 19-37.
• Dynamical properties of plane polynomial automorphisms, (with John W. Milnor), Journal of Ergodic Theory & Dynamical Systems 9 (1989),  67-99.
•  Entropy of polynomial and rational maps, Annals of Mathematics 133 (1991), 359-368.
•  Jorgensen's inequality for discrete groups in normed algebras, (with S. Hersonsky),  Duke Mathematical Journal 69 (1993), 593-614.
• Universal uncertainty relations, jointly with V. Gheorghiu and G. Gour, Physical Review Letters 111, 230401 (2013), 5 pages.
• The number of singular vector tuples and uniqueness of best rank one approximation of tensors, jointly with G. Ottaviani, Foundations of Computational Mathematics 14, 6 (2014), 1209--1242.
• MATRICES: Algebra, Analysis and Applications, 490 pages,  2015, World Scientific, http://www.amazon.com/Matrices-Analysis-Applications-Shmuel-Friedland/dp/981466796X.
• The computation complexity of duality, jointly with L.-H. Lim, SIAM Journal on Optimization, 26, No 4 (2016), 2378-2393.