3 papers
math.CA2025
Computing standard canonical forms of regular linear time varying DAEs via a preliminary stage
Diana Estévez Schwarz, René Lamour, Roswitha März
For regular linear time-invariant DAEs the corresponding matrix pencil is regular and the computation of a standard canonical form is well-understood. Although the investigation of…
math.RA2025
Regular linear time varying DAEs are equivalent to DAEs in strong standard canonical form
Diana Estévez Schwarz, René Lamour, Roswitha März
The relationship between solvability of linear diffential-algebraic equations (DAEs) and their transformability into canonical forms has been investigated for more than forty years…
math.CA2024
The common ground of DAE approaches. An overview of diverse DAE frameworks emphasizing their commonalities
Diana Estévez Schwarz, René Lamour, Roswitha März
We analyze different approaches to differential-algebraic equations with attention to the implemented rank conditions of various matrix functions. These conditions are apparently v…