Efficient certication of numeric solutions to eigenproblems - Archive ouverte HAL
Conference Papers Year : 2017

Efficient certication of numeric solutions to eigenproblems

Abstract

In this paper, we present an efficient algorithm for the certication 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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Dates and versions

hal-01579079 , version 1 (30-08-2017)

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Joris van der Hoeven, Bernard Mourrain. Efficient certication of numeric solutions to eigenproblems. MACIS 2017 - 7th International Conference on Mathematical Aspects of Computer and Information Sciences, Nov 2017, Vienna, Austria. pp.81--94, ⟨10.1007/978-3-319-72453-9_6⟩. ⟨hal-01579079⟩
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