MS 2

Matrix Factorizations and Applications
Organizer(s): Michael Tsatsomeros
Washington State Universiy
Pullman, Washingon, USA
Organizer(s): Rafael Cantó
Universitat Polit`ecnica de València
València, SPAIN
Factorizations of matrices play a crucial and diverse role in applied linear algebra.
They typically lead to the development of numerical methods and theoretical under-
standing of diverse concepts in statistics, optimization, economics and others. In this
minisymposium we assemble four talks on different types and applications of matrix
factorizations. Particular attention will be paid to bidiagonal factorizations of some
classes of matrices, the Cholesky full rank factorization for rank deficient matrices, the SVD decomposition with a number of related applications and a nonnegative matrix factorization.
Classes of matrices with bidiagonal factorization
Álvaro Barreras, Universidad de Zaragoza; J.M. Peña, Univ. de Zaragoza
Cholesky factorization for singular matrices
Rafael Cant´o, Universitat Polit`ecnica de Val`encia; A.M. Urbano, Univ. Polit`ecnica de
Val`encia; M.J. Pel´aez, Univ. Cat´olica del Norte
Applications of the Singular Value Decomposition to perturbation
theory of eigenvalues of matrix polynomials
Panayiotis Psarrakos, National Technical University of Athens; N. Papathanasiou, Na-
tional Technical Univ. of Athens
On reduced rank nonnegative matrix factorization for symmetric
nonnegative matrices
Minerva Catral, Xavier University; L. Han, Univ. of Michigan-Flint; M. Neumann,
Univ. of Connecticut; R.J. Plemmons, Wake Forest Univ.