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). Also, he was selected as a 2021 SIAM Fellow, "for deep and varied contributions to mathematics, especially linear algebra, matrix theory, and matrix computations".^[5]

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[]

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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