After recalling basic notions about the singular value decomposition of a matrix, we address the so-called proper orthogonal decomposition (POD), a classical, global approach of matrix analysis used in a broad variety of mathematical contexts. We elaborate on the use of POD to generate a RB space and, finally, we make an excursion on the continuous analogue of POD.
CITATION STYLE
Quarteroni, A., Manzoni, A., & Negri, F. (2016). Construction of RB spaces by SVD-POD. In UNITEXT - La Matematica per il 3 piu 2 (Vol. 92, pp. 115–140). Springer-Verlag Italia s.r.l. https://doi.org/10.1007/978-3-319-15431-2_6
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