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Cyclic AFD algorithm for the best rational approximation
Qian T.
Source PublicationMathematical Methods in the Applied Sciences
ISSN10991476 01704214

We propose a practical algorithm of best rational approximation of a given order to a function in the Hardy H space on the unit circle and on the real line. The type of approximation is proved to be equivalent with Blaschke form approximation. The algorithm is called Cyclic adaptive Fourier decomposition as it adaptively selects one parameter for each cycle on the basis of the maximal selection principle proved in the literature of adaptive Fourier decomposition. 

KeywordBest Rational Approximation Blaschke Form Hardy Space Maximal Selection Principle Rational Orthonormal System
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Indexed BySCI
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000333317600006
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Cited Times [WOS]:19   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Corresponding AuthorQian T.
AffiliationDepartment of Mathematics, University of Macau, Macao, China SAR
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Qian T.. Cyclic AFD algorithm for the best rational approximation[J]. Mathematical Methods in the Applied Sciences,2014,37(6):846-859.
APA Qian T..(2014).Cyclic AFD algorithm for the best rational approximation.Mathematical Methods in the Applied Sciences,37(6),846-859.
MLA Qian T.."Cyclic AFD algorithm for the best rational approximation".Mathematical Methods in the Applied Sciences 37.6(2014):846-859.
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