On a second‐order expansion of the truncated singular subspace decomposition |
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| Authors: | S. Gratton J. Tshimanga‐Ilunga |
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| Affiliation: | 1. Institut de Recherche en Informatique de Toulouse, Institut National Polytechnique de Toulouse, 31071 Toulouse Cedex 07, France;2. Centre Européen de Formation et de Recherche Avancées en Calcul Scientifique, 31057 Toulouse Cedex 01, France |
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| Abstract: | We present a second‐order expansion for singular subspace decomposition in the context of real matrices. Furthermore, we show that, when some particular assumptions are considered, the obtained results reduce to existing ones. Some numerical examples are provided to confirm the theoretical developments of this study. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | truncated singular subspace decomposition second‐order perturbation expansion sensitivity analysis |
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