TY - GEN A1 - Linh, Vu Hoang A1 - Mehrmann, Volker T1 - Approximation of spectral intervals and associated leading directions for linear differential-algebraic systems via smooth singular value decompositions N2 - This paper is devoted to the numerical approximation of Lyapunov and Sacker-Sell spectral intervals for linear differential-algebraic equations (DAEs). The spectral analysis for DAEs is improved and the concepts of leading directions and solution subspaces associated with spectral intervals are extended to DAEs. Numerical methods based on smooth singular value decompositions are introduced for computing all or only some spectral intervals and their associated leading directions. The numerical algorithms as well as implementation issues are discussed in detail and numerical examples are presented to illustrate the theoretical results. KW - differential-algebraic equation KW - strangeness index KW - Lyapunov exponent KW - Bohl exponent KW - Sacker-Sell spectrum KW - exponential dichotomy KW - spectral interval KW - leading direction KW - smooth singular value decomposition Y1 - 2010 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/702 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-7028 ER -