2005-11-07Buch DOI: 10.18452/2656
On logarithmic norms for differential algebraic equations
Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
Logarithmic matrix norms are well known in the theory of ordinary differential equations (ODEs) where they supply estimates for error growth and the growth of the solutions. In this paper we present a natural generalization of logarithmic norms which makes it applicable to differential- algebraic equations (DAEs) and yield sense-full estimates for the growth of the solutions of the DAE. As there are various possibilities we show how they correspond to each other.
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