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Unimodular transformations for DAE initial trajectory problems
Author(s) -
Trenn Stephan,
Unger Benjamin
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000322
Subject(s) - unimodular matrix , trajectory , mathematics , invariant (physics) , algebraic number , reduction (mathematics) , matrix (chemical analysis) , pure mathematics , mathematical analysis , physics , geometry , chemistry , chromatography , astronomy , mathematical physics
We consider linear time‐invariant differential‐algebraic equations (DAEs). For high‐index DAEs, it is often the first step to perform an index reduction, which can be realized with a unimodular matrix. In this contribution, we illustrate the effect of unimodular transformations on initial trajectory problems associated with DAEs.