Arbitrarily Slow Convergence of Sequences of Linear Operators: A Survey

DOI10.1007/978-1-4419-9569-8_11zbMath1251.47017OpenAlexW63968082MaRDI QIDQ2897283

Frank Deutsch, Hein S. Hundal

Publication date: 10 July 2012

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4419-9569-8_11

zbMATH Keywords

rate of convergencefinite elementsdomain decompositionmultigrid methodGaussian quadraturealternating projectionstrapezoidal ruleSimpson's rulesubspace correctionscyclic projectionsarbitrarily slow convergenceBernstein polynomial operatorsFejér operatorsHermite-Fejér operatorsJackson operatorsLandau operatorshigher powers of linear operatorsintermittently ordered projectionsrandomly ordered projections

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Linear operator approximation theory (47A58) Numerical solutions to equations with linear operators (65J10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Research exposition (monographs, survey articles) pertaining to approximations and expansions (41-02)

Related Items

The optimal error bound for the method of simultaneous projections, Polynomial estimates for the method of cyclic projections in Hilbert spaces, Convergence of non-periodic infinite products of orthogonal projections and nonexpansive operators in Hilbert space, The rate of convergence for the cyclic projections algorithm. III: Regularity of convex sets, Error bounds for the method of simultaneous projections with infinitely many subspaces, Ritt operators and convergence in the method of alternating projections

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