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Talk Abstract
On Smooth Decomposition of Matrices

Luca Dieci, Georgia Tech

We consider smooth orthogonal decomposition of matrices depending on a real parameter. Among others, we discuss QR, Schur, and singular value decompositions, and their block analogues. Sufficient conditions for existence of such decompositions are given, and differential equations for the factors are derived. Also generic smoothness of these factors is dicussed.

This is joint work with Timo Eirola.

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