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Mathematics

D-Index
43
Citations
7466
World Ranking
1697
National Ranking
732

Research.com Recognitions

  • 2019 - Fellow of the American Mathematical Society For contributions to the theory of matrices, tensors, and their applications to other areas.

Overview

Shmuel Friedland is a researcher affiliated with the University of Illinois at Chicago in the United States. Their work spans various intersections of mathematics and computer science, with a particular focus on computational theory, numerical analysis, and artificial intelligence. Friedland's research primarily contributes to the fields of tensor decomposition, matrix theory, and advanced optimization algorithms, while also addressing topics in quantum information and quantum computing.

The scientist has published extensively, with a significant number of papers appearing in venues such as arXiv (Cornell University), where they have contributed 12 publications. Other notable journals include Linear Algebra and its Applications, Special Matrices, Physical Review Letters, and Linear and Multilinear Algebra.

Recent publications by Friedland include:

  • Quantum Monge-Kantorovich Problem and Transport Distance between Density Matrices, 2022, Physical Review Letters
  • Spectral norm of a symmetric tensor and its computation, 2020, Mathematics of Computation

Additional influential papers connected to related research areas include:

  • Graph isomorphism and Gaussian boson sampling, 2021, Special Matrices
  • On Quantum Optimal Transport, 2023, Mathematical Physics Analysis and Geometry
  • Rank of a tensor and quantum entanglement, 2023, Linear and Multilinear Algebra

The research topics covered by Friedland encompass:

  • Tensor decomposition and applications
  • Advanced Optimization Algorithms Research
  • Matrix Theory and Algorithms
  • Quantum Information and Cryptography
  • Quantum Computing Algorithms and Architecture
  • Quantum many-body systems
  • Advanced Topics in Algebra

Frequent collaborators of Friedland include Karol Życzkowski, Michał Eckstein, Sam Cole, Lek-Heng Lim, and Stéphane Gaubert.

Shmuel Friedland was recognized as a Fellow of the American Mathematical Society in 2019 for contributions to the theory of matrices, tensors, and their applications to other areas.

Best Publications

  • Dynamical properties of plane polynomial automorphisms

    Shmuel Friedland;John Milnor

  • Perron–Frobenius theorem for nonnegative multilinear forms and extensions

    S. Friedland;Stéphane Gaubert;L. Han

  • The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems

    S. Friedland;J. Nocedal;M. L. Overton

  • Nuclear norm of higher-order tensors

    Shmuel Friedland;Lek-Heng Lim

  • Universal uncertainty relations.

    Shmuel Friedland;Vlad Gheorghiu;Vlad Gheorghiu;Gilad Gour

  • Inverse eigenvalue problems

    Shmuel Friedland

  • Eigenvalue inequalities for the dirichlet problem on spheres and the growth of subharmonic functions

    S. Friedland;W. K. Hayman

  • On an inverse problem for nonnegative and eventually nonnegative matrices

    Shmuel Friedland

  • Simultaneous similarity of matrices

    Shmuel Friedland;Shmuel Friedland;Shmuel Friedland

  • Regular subgraphs of almost regular graphs

    Noga Alon;Shmuel Friedland;Gil Kalai

  • Association of resonance states with the incomplete spectrum of finite complex-scaled Hamiltonian matrices

    Nimrod Moiseyev;Shmuel Friedland

  • Convex spectral functions

    Shmuel Friedland

  • Generalized Rank-Constrained Matrix Approximations

    Shmuel Friedland;Anatoli Torokhti

  • On the First Eigenvalue of Bipartite Graphs

    Amitava Bhattacharya;Shmuel Friedland;Uri N. Peled

  • Cusps, θ trajectories, and the complex virial theorem

    Nimrod Moiseyev;Shmuel Friedland;Phillip R. Certain

  • Explicit construction of families of LDPC codes with no 4-cycles

    Jon-Lark Kim;U.N. Peled;I. Perepelitsa;V. Pless

  • Spectrum Management in Multiuser Cognitive Wireless Networks: Optimality and Algorithm

    Chee Wei Tan;S Friedland;S H Low

  • Some inequalities for the spectral radius of non-negative matrices and applications

    S. Friedland;S. Karlin

  • Compressive sensing of sparse tensors.

    Shmuel Friedland;Qun Li;Dan Schonfeld

  • Theory of computation of multidimensional entropy with an application to the monomer--dimer problem

    Shmuel Friedland;Uri N. Peled

  • Combinatorial and Graph-Theoretical Problems in Linear Algebra

    Richard A. Brualdi;Shmuel Friedland;Victor Klee

Frequent Co-Authors

Stéphane Gaubert
Stéphane Gaubert École Polytechnique
Mostafa Kaveh
Mostafa Kaveh University of Minnesota
Hans Schneider
Hans Schneider University of Wisconsin–Madison
Volker Mehrmann
Volker Mehrmann Technical University of Berlin
Dan Schonfeld
Dan Schonfeld University of Illinois at Chicago
Noga Alon
Noga Alon Tel Aviv University
Jorge Nocedal
Jorge Nocedal Northwestern University
Saieed Akbari
Saieed Akbari Sharif University of Technology
Chee Wei Tan
Chee Wei Tan Nanyang Technological University
Rajendra Bhatia
Rajendra Bhatia Ashoka University

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