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Continuous Matrix Factorizations

In: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory

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  • Erik S. Van Vleck

    (University of Kansas, Department of Mathematics)

Abstract

Continuous matrix factorizations show great promise in a number of contexts. In this chapter we survey results on continuous matrix factorizations paying particular attention to smooth matrix factorizations of fundamental matrix solutions of linear differential equations and differential-algebraic equations with special emphasis on smooth QR and smooth SVD.

Suggested Citation

  • Erik S. Van Vleck, 2015. "Continuous Matrix Factorizations," Springer Books, in: Peter Benner & Matthias Bollhöfer & Daniel Kressner & Christian Mehl & Tatjana Stykel (ed.), Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, edition 127, chapter 0, pages 299-318, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-15260-8_11
    DOI: 10.1007/978-3-319-15260-8_11
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