Gonnet, Pedro and Guettel, Stefan and Trefethen, Lloyd N. (2011) Robust Padé approximation via SVD. Technical Report. SIAM review. (Submitted)

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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 nearlysingular systems and spurious polezero 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 the numerator and denominator increase to infinity, unlike traditional Padé approximants, which converge only in measure or capacity.
Item Type:  Technical Report (Technical Report) 

Subjects:  A  C > Approximations and expansions H  N > Numerical analysis 
Research Groups:  Numerical Analysis Group 
ID Code:  1408 
Deposited By:  Lotti Ekert 
Deposited On:  29 Oct 2011 08:00 
Last Modified:  29 May 2015 19:06 
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