Friday, July 11

MS102
Numerical Multilinear Algebra

10:30 AM - 12:30 PM
Room: Eaton

This is a minisymposium on the development of numerical algorithms for multilinear algebra -- a topic that has become increasingly important in science and engineering, through both the creation of new scientific computing models and the analysis of data with nonlinear structures. We broadly define Numerical Multilinear Algebra as the study and use of tensors/multilinear algebra, symmetric tensors/symmetric algebra, alternating tensors/exterior algebra, spinors/Clifford algebra in computational mathematics. More specifically, this minisymposium will focus on numerical computations involving various multilinear objects and the ubiquity of multilinearity in scientific and engineering applications.

Organizer: Lek-Heng Lim
University of California, Berkeley

10:30-10:55 Low Rank Approximations of Matrices and Tensors

Shmuel Friedland, University of Illinois, Chicago

11:00-11:25 The Polar Curvature Tensor and Hybrid Flat-surfaces Modeling

Guangliang Chen and Gilad Lerman, University of Minnesota

11:30-11:55 On Multi-Variable Representations with Sums of Exponentials

Gregory Beylkin, University of Colorado at Boulder

12:00-12:25 On a Generalisation of Sylvester Method for Symmetric Tensor Decomposition

Bernard Mourrain, INRIA Sophia Antipolis, France