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arXiv · 2301.13164

A Rellich's result revisited and sensitivity of solutions of parametrized linear systems

José Carlos Bellido·Luis Felipe Prieto-Martínez
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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 $(n-1)$-deficient systems, being $n$ the order of the system.

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José Carlos Bellido, Luis Felipe Prieto-Martínez. 2022-12-09. A Rellich's result revisited and sensitivity of solutions of parametrized linear systems. https://arxiv.org/abs/2301.13164

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