A Rellich's result revisited and sensitivity of solutions of parametrized linear systems
Numerical Analysis
2023-01-31 v1 Numerical Analysis
Abstract
In this paper we revisit a result due to Franz Rellich on smoothness of solutions of parametrized linear systems. With this result as a starting point, we obtain finer smoothness results in an elementary fashion and propose an efficient adjoint algorithm for computing sensitivities of -deficient systems, being the order of the system.
Keywords
Cite
@article{arxiv.2301.13164,
title = {A Rellich's result revisited and sensitivity of solutions of parametrized linear systems},
author = {José Carlos Bellido and Luis Felipe Prieto-Martínez},
journal= {arXiv preprint arXiv:2301.13164},
year = {2023}
}