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Efficient certification of numeric solutions to eigenproblems

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2017) 10693 LNCS 81-94
DOI: 10.1007/978-3-319-72453-9_6
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Abstract

In this paper, we present an efficient algorithm for the certification of numeric solutions to eigenproblems. The algorithm relies on a mixture of ball arithmetic, a suitable Newton iteration, and clustering of eigenvalues that are close.

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van der Hoeven, J., & Mourrain, B. (2017). Efficient certification of numeric solutions to eigenproblems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10693 LNCS, pp. 81–94). Springer Verlag. https://doi.org/10.1007/978-3-319-72453-9_6

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