Главная

Shmuel Friedland

  1. Best rank one approximation of real symmetric tensors can be chosen symmetric.

    Чт, 10/27/2011 - 15:01 — SomNambul
    Authors: Shmuel Friedland
    Subjects: Functional Analysis
    Abstract

    We show that a best rank one approximation to a real symmetric tensor, which
    in principle can be nonsymmetric, can be chosen symmetric.

    Furthermore, a symmetric best rank one approximation to a symmetric tensor is
    unique if the tensor does not lie on a certain real algebraic variety.

  2. A note on the nonzero spectrum of irreducible matrices.

    Втр, 10/20/2009 - 12:53 — SomNambul
    Authors: Shmuel Friedland
    Subjects: Spectral Theory
    Abstract

    In this note we extend the necessary and sufficient conditions of
    Boyle-Handleman 1991 and Kim-Ormes-Roush 2000 for a nonzero eigenvalue multiset
    of primitive matrices over $\R_+$ and $\Z_+$, respectively, to irreducible
    matrices.

  3. Positive diagonal scaling of a nonnegative tensor to one with prescribed slice sums.

    Втр, 08/18/2009 - 11:53 — SomNambul
    Authors: Shmuel Friedland
    Subjects: Optimization and Control
    Abstract

    In this paper we give necessary and sufficient conditions on a nonnegative
    tensor to be diagonally equivalent to a tensor with prescribed slice sums. For
    matrices these conditions reduce to Menon's conditions.

Math-arch

RSS-материал