1 citations · 1 across the 3 of their papers we have counts for
5 papers
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…
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…
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…
Index-analysis for a method of lines discretising multirate partial differential algebraic equations
Roland Pulch, Diana Estevez Schwarz, Rene Lamour
In radio frequency applications, electric circuits generate signals, which are amplitude modulated and/or frequency modulated. A mathematical modelling yields typically systems of…
Higher-order derivatives of the QR and of the real symmetric eigenvalue decomposition in forward and reverse mode algorithmic differentiation
Sebastian F. Walter, Lutz Lehmann, René Lamour
We address the task of higher-order derivative evaluation of computer programs that contain QR decompositions and real symmetric eigenvalue decompositions. The approach is a combin…