期刊
SIAM REVIEW
卷 55, 期 1, 页码 101-117出版社
SIAM PUBLICATIONS
DOI: 10.1137/110853236
关键词
Pade approximation; SVD; regularization; Froissart doublet; Nuttall-Pommerenke theorem
资金
- European Research Council under the European Union's Seventh Framework Programme (FP7/2007-2013)/ERC [291068]
Pade 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, for which a MATLAB code is provided. The success of this algorithm suggests that there might be variants of Pade approximation that are pointwise convergent as the degrees of the numerator and denominator increase to 8, unlike traditional Pade approximants, which converge only in measure or capacity.
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