New England Numerical Analysis Day 2009

University of Rhode Island
Department of Mathematics, Lippitt Hall
April 4, 2009, 9:00am-5:30pm
main conference page

A quasiseparable matrices approach to CMV and Fiedler matrices

Pavel Zhlobich, University of Connecticut

Several new classes of structured matrices have appeared recently in the scientific literature. Among them there are so-called CMV and Feidler matrices which are found to be related to polynomials orthogonal on the unit circle and Horner polynomials respectively. Both matrices are five diagonal and have a similar structure, although they have appeared under completely different circumstances. We establish a link between these matrices by showing that they both belong to the wider class of twisted Hessenberg-Order-One quasiseparable matrices. We also obtain a general desription of five-diagonal matrices in terms of recurrence relations satisfied by polynomials they are related to.



Organizers

Jim Baglama (URI), Tom Bella (URI), Li Wu (URI).

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