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dqds and quasiseparable matrices

Thursday, November 8, 3:30PM – 5PM
ACE 6.304

Beresford Parlett

We begin by introducing the qds and dqds algorithms, discussing the difference between them and showing how they may be extended (as eigensolvers) beyond the tridiagonal case. As an example we present recent work by P. Zhlobich that extends qds to all quasiseparable (qs) matrices and dqds to those that are also Hessenberg.

The latter class includes companion matrices and the former includes CMV and Green's matrices.

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