Shmuel Friedland

Shmuel Friedland (born 1944 in Tashkent, Uzbek Soviet Socialist Republic)[1] is an Israeli-American mathematician.

Friedland studied at the Technion – Israel Institute of Technology, graduating in 1967 with bachelor's degree and in 1971 with doctorate of science under the supervision of Binjamin Schwarz.[2] As a postdoc Friedland was in 1972/73 at the Weizmann Institute, in 1973/74 at Stanford University, and in 1974/75 at the Institute for Advanced Study. Then he taught at the Hebrew University of Jerusalem, where he became in 1982 a full professor. In 1985 he became a professor at the University of Illinois at Chicago.[3]

Besides linear algebra (matrix theory), Friedland does research on a wide variety of mathematics, including complex dynamics and applied mathematics. With Elizabeth Gross, he proved a set-theoretic version of the salmon conjecture posed by Elizabeth S. Allman.[4]

With Miroslav Fiedler and Israel Gohberg, Friedland shared in the first Hans Schneider Prize, awarded by the International Linear Algebra Society in 1993. He was elected a Fellow of the American Mathematical Society (Class of 2019).

Selected publications

"Nonoscillation and integral inequalities", Bull. Amer. Math. Soc., vol. 80, 1974, pp. 715–717. doi:10.1090/S0002-9904-1974-13565-2
with Samuel Karlin: "Some inequalities for the spectral radius of nonnegative matrices and applications", Duke Mathematical Journal, vol. 42, 1975, pp. 459–490. (subscription required)
Nonoscillation, disconjugacy and integral inequalities, Memoirs Amer. Math. Soc. 176, 1976
with Walter K. Hayman: "Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions", Commentarii Mathematici Helvetici 51, no. 1 (1976): 133–161. doi:10.1007/BF02568147
"On an inverse problem for nonnegative and eventually nonnegative matrices", Israel Journal of Mathematics, vol. 29, no. 1, 1978, 43–60. doi:10.1007/BF02760401
"A lower bound for the permanent of doubly stochastic matrices", Annals of Mathematics, vol. 110, 1979, pp. 167–176. JSTOR 1971250
with Nimrod Moiseyev: "Association of resonance states with the incomplete spectrum of finite complex-scaled Hamiltonian matrices", Physical Review A, vol. 22, no. 2, 1980, 618–624. doi:10.1103/PhysRevA.22.618
"Convex spectral functions", Linear and Multilinear Algebra, vol. 9, no. 4, 1981, 299–316. doi:10.1080/03081088108817381
with Carl R. de Boor and Allan Pincus: "Inverses of infinite sign regular matrices", Trans. Amer. Math. Soc., vol. 274, 1982, pp. 59–68. doi:10.1090/S0002-9947-1982-0670918-7
"Simultaneous similarity of matrices", Bull. Amer. Math. Soc., vol. 8, 1983, pp. 93–95. doi:10.1090/S0273-0979-1983-15094-2
"Simultaneous similarity of matrices", Advances in Mathematics, vol. 50, 1983, pp. 189–265. doi:10.1016/0001-8708(83)90044-0
with Joel W. Robbin and John H. Sylvester: "On the crossing rule", Communications in Pure and Applied Mathematics, vol. 37, 1984, pp. 19–37. doi:10.1002/cpa.3160370104
with Noga Alon and Gil Kalai: "Regular subgraphs of almost regular graphs", Journal of Combinatorial Theory, Series B, vol. 37, no. 1, 1984, 79–91. doi:10.1016/0095-8956(84)90047-9
with John Willard Milnor: "Dynamical properties of plane polynomial automorphisms", Journal of Ergodic Theory & Dynamical Systems, vol. 9, 1989, pp. 67–99. doi:10.1017/S014338570000482X
"Entropy of polynomial and rational maps", Annals of Mathematics, vol. 133, 1991, pp. 359–368. JSTOR 2944341
with Sa'ar Hersonsky: "Jorgensen's inequality for discrete groups in normed algebras", Duke Mathematical Journal, vol. 69, 1993, pp. 593–614. (subscription required)
with Vlad Gheorghiu and Gilad Gour: "Universal uncertainty relations", Physical Review Letters, vol. 111, 2013, p. 230401 doi:10.1103/PhysRevLett.111.230401
with Stéphane Gaubert and Lixing Han: "Perron–Frobenius theorem for nonnegative multilinear forms and extensions", Linear Algebra and its Applications, vol. 438, no. 2, 2013, pp. 738-749. doi:10.1016/j.laa.2011.02.042
with Giorgio Ottaviani: "The number of singular vector tuples and uniqueness of best rank one approximation of tensors", Foundations of Computational Mathematics, vol. 14, 2014, pp. 1209–1242. doi:10.1007/s10208-014-9194-z
Matrices: Algebra, Analysis and Applications, World Scientific 2015
with Lek-Heng Lim: "The computational complexity of duality", SIAM Journal on Optimization, vol. 26, no. 4, 2016, 2378–2393. doi:10.1137/16M105887X
with Jinjie Zhang and Lek-Heng Lim: "Grothendieck constant is norm of Strassen matrix multiplication tensor", arXiv preprint arXiv:1711.04427, 2017. (See Grothendieck inequality.)
with Mohsen Aliabadi, Linear Algebra and Matrices, SIAM 2018

References

biographical information from membership book, Institute of Advanced Study, 1980
Shmuel Friedland at the Mathematics Genealogy Project
"Shmuel Friedland". Mathematics Department, University of Illinois at Chicago.
Friedland, Shmuel; Gross, Elizabeth (2012). "A proof of the set-theoretic version of the Salmon conjecture". Journal of Algebra. 356: 374–379. arXiv:1104.1776. doi:10.1016/j.jalgebra.2012.01.017. arXiv preprint

External links

Interview of Shmuel Friedland by Lek-Heng Lim for IMAGE, The Bulletin of the International Linear Algebra Society, Fall 2017

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[1] raphical information from membership book, Institute of Advanced Study, 1980

[2] Shmuel Friedland at the Mathematics Genealogy Project

[3] "Shmuel Friedland". Mathematics Department, University of Illinois at Chicago.

[4] Friedland, Shmuel; Gross, Elizabeth (2012). "A proof of the set-theoretic version of the Salmon conjecture". Journal of Algebra. 356: 374–379. arXiv:1104.1776. doi:10.1016/j.jalgebra.2012.01.017. arXiv preprint