10:30 AM - 12:30 PM
Room: Room 409 - Level 4
An increasing number of engineering problems involves the manipulation of quantities, the elements of which are addressed by more than two indices. In the literature, these higher-order equivalents of vectors (first order) and matrices (second order) are known as higher-order tensors, multidimensional matrices, or multiway arrays, and their algebra is called multilinear algebra. For many issues involving higher-order tensors, the existing framework of vector and matrix algebra appears to be insufficient and/or inapproriate. For example, the concept of rank is much more involved in multilinear algebra than in matrix algebra, and key decompositions, such as the Eigenvalue Decomposition or the Singular Value Decomposition, can be generalized in more than one way. Polynomial theory and higher-order statistics are two disciplines that are closely linked with multilinear algebra. Applications can be found in areas as diverse as telecommunications, chemometrics, biomedical signal processing, and many others. In this mini-symposium, which consists of 4 contributions, we will review some introductory material and discuss some state-of the-art results.
Organizer:
Bart L. De Moor
Katholieke Universiteit Leuven, Belgium
Lieven De Lathauwer
Katholieke Universiteit Leuven, Belgium