On non-Hermitian positive (semi)definite linear algebraic systems arising from dissipative Hamiltonian DAEs

@article{Gdc2021OnNP,
title={On non-Hermitian positive (semi)definite linear algebraic systems arising from dissipative Hamiltonian DAEs},
author={Candan G{\"u}d{\"u}c{\"u} and J{\"o}rg Liesen and Volker Mehrmann and Daniel B. Szyld},
journal={ArXiv},
year={2021},
volume={abs/2111.05616}
}
• Published 10 November 2021
• Mathematics, Computer Science
• ArXiv
. We discuss diﬀerent cases of dissipative Hamiltonian diﬀerential-algebraic equations and the linear algebraic systems that arise in their linearization or discretization. For each case we give examples from practical applications. An important feature of the linear algebraic systems is that the (non-Hermitian) system matrix has a positive deﬁnite or semideﬁnite Hermitian part. In the positive deﬁnite case we can solve the linear algebraic systems iteratively by Krylov subspace methods based…

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