A Multilevel Method for Solving Operator Equations

We develop a multilevel method suitable for solving operator equations. This method combines the multiresolution structure of the spaces used to solve the operator equation with a Gauss–Seidel strategy to solve the associated matrix equations. We prove that this multilevel scheme has an optimal orde...

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Veröffentlicht in:	Journal of mathematical analysis and applications 2001-10, Vol.262 (2), p.688-699
Hauptverfasser:	Chen, Zhongying, Micchelli, Charles A., Xu, Yuesheng
Format:	Artikel
Sprache:	eng
Schlagworte:	a Gauss–Seidel strategy Exact sciences and technology Mathematical analysis Mathematics multilevel methods multiresolutions operator equations Operator theory Sciences and techniques of general use wavelets
Online-Zugang:	Volltext
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