Continuous Matrix Factorizations

Erik S. Van Vleck ()
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Erik S. Van Vleck: University of Kansas, Department of Mathematics

Chapter Chapter 11 in Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, 2015, pp 299-318 from Springer

Abstract: 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.

Keywords: Lyapunov Exponent; Singular Value Decomposition; Matrix Function; Exponential Dichotomy; Fundamental Matrix Solution (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-15260-8_11

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DOI: 10.1007/978-3-319-15260-8_11

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