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Robust Padé approximation via SVD

Abstract:

Padé approximation is considered from the point of view of robust methods of numerical linear algebra, in particular the singular value decomposition. This leads to an algorithm for practical computation that bypasses most problems of solution of nearly-singular systems and spurious pole-zero pairs caused by rounding errors; a Matlab code is provided. The success of this algorithm suggests that there might be variants of Padé approximation that would be pointwise convergent as the degrees of ...

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Publisher:
SIAM review
Publication date:
2011-10-01
UUID:
uuid:360cf844-7f2c-4612-b5f8-86ff277f6604
Local pid:
oai:eprints.maths.ox.ac.uk:1408
Deposit date:
2011-10-29

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