### Pavel Zhlobich (University of Edinburgh)

#### Multilevel quasiseparable matrices and their applications

*Wednesday 26 October 2011 at 15.30, JCMB 6206*

##### Abstract

Quasiseparable matrices is a relatively new class of rank-structured matrices
that naturally arise in many applications of numerical analysis. Examples
include interpolation by polynomials, factorization of moment matrices,
polynomial root finding. We will talk specifically about their application in
solving partial differential equations and PDE-constrained optimal control
problems. We will show that for a certain class of problems the use of
quasiseparable matrices techniques leads to system solvers of asymptotically
linear complexity in the dimension of the system. The talk aims to give a
gentle introduction to quasiseparable matrices theory and does not assume any
familiarity with the topic.

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