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Continuation of Singular Value Decompositions

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Mediterranean Journal of Mathematics Aims and scope Submit manuscript

Abstract.

In this work we consider computing a smooth path for a (block) singular value decomposition of a full rank matrix valued function. We give new theoretical results and then introduce and implement several algorithms to compute a smooth path. We illustrate performance of the algorithms with a few numerical examples.

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Correspondence to Luca Dieci.

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This work was supported in part under NSF Grant DMS-0139895, and INDAM-GNCS and MIUR Rome-Italy.

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Dieci, L., Gasparo, M.G. & Papini, A. Continuation of Singular Value Decompositions. MedJM 2, 179–203 (2005). https://doi.org/10.1007/s00009-005-0038-6

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  • DOI: https://doi.org/10.1007/s00009-005-0038-6

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