Inner-Outer Factorization and Operator Inversion

Patrick Dewilde and Alle-Jan van der Veen
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Patrick Dewilde: Delft University of Technology, DIMES
Alle-Jan van der Veen: Delft University of Technology, DIMES

Chapter 7 in Time-Varying Systems and Computations, 1998, pp 145-187 from Springer

Abstract: Abstract Direct methods to invert large matrices may give undesired “unstable” results. We can obtain valuable insights into the mechanics of this effect by representing the matrix as a time-varying system for which it is the transfer operator. Among other things, this will allow us to handle the instability by translating “unstable” into “anti-causal” yet bounded.

Keywords: Riccati Equation; Transfer Operator; Maximal Solution; Hankel Operator; Hankel Matrice (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-1-4757-2817-0_7

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