Revision #2503 → #2740 · back to history
addedRate and order of convergence5e4af50cff3a
addedAsymptotic rates and ordersfe98666a5b24
addedNon-asymptotic rates and orders2715bc440330
addedBig O notation68fc8a0cac05
addedIterative asymptotic order and ratea60e406d637c
addedQ-convergence37e240233fe9
addedAsymptotic error constantf84015d7dc12
addedSeries accelerationb091f057cebd
addedGrid discretization convergence444fe7d8c215
addedMetric interpretation of errore05ae3d77f9b
addedNon-grid discretization convergence4d5a78c4729e
addedAsymptotically faster convergence39b91f783abe
addedSame asymptotic order14cfb5b2d121
addedAsymptotic equivalencebee099d67e27
addedQ-order and Q-rate75d3551dbc7c
addedNeed for technical rate definitions2d0dadf9dec7
addedQ-convergence name5195df4b15ab
addedLarger orders converge fasterc520c19eff36
addedSmaller rates converge faster75e38595db1e
addedExtra decimals ratebc682e74c1a3
addedLinear convergence33b5f146eb52
addedQuadratic convergence145d58c55746
addedCubic convergencef04a51e7b143
addedSecant method ordere14039af8311
addedQ-limit implies big O errorf00455c15812
addedLeading order Q-error940d77cc6364
addedSuperlinear convergenceb70094729345
addedSublinear convergence1edc0d275f5b
addedSublinear is not linear rate onefe6e8843f3bd
addedLogarithmic convergencea37b76cc652b
addedQ-convergence shortcomingf4b8b4176ba7
addedStaggered geometric progression class4a2abc8ae708
addedStaggered progression lacks Q-linear limita00436e6473a
addedDivergent subsequential limits prevent convergencee2cd4dfe9236
addedR-linear convergencea2000e9c2e9e
addedOther R-convergence classesa8194880a3d5
addedR-error bound lower boundbf1a0a57ca23
addedExact R-rate greatest lower boundffac32fc58f5
addedR-order and R-rate comparisonc17c61149994
addedTight R-bounding sequence50f42971cc90
addedGeneral staggered R-linear convergence1375e9601325
addedGeometric progression limit9d06ba3bcc17
addedGeometric progression Q-linear rate1209db68e7c3
addedReal geometric progression linear rate113da70995ce
addedGeometric series partial sums rated9e666e36432
addedComplex geometric convergence rate4a5e3b7e009a
addedStaggered geometric progression R-linear96cc1c3ede05
addedStaggered progression not Q-linear077c6c996c7b
addedGeneral staggered geometric R-rate3a0f0eebf03e
addedQ-superlinear sequence95d6756937cc
addedQuadratic sequence rate onecb4f50257327
addedQ-sublinear logarithmic sequence5b8750c2be76
addedFixed point iterationd9a7472a7068
addedAttractive fixed point criterion7b93c2686c78
addedLinear fixed point convergence8a623e517ae4
addedQuadratic fixed point convergencee2ea44a57a69
addedRepulsive fixed point criteriond372e5e366eb
addedNo local convergence to repulsive fixed pointff7db6ca3a4a
addedDirect jump to fixed pointe4f8e1585284
addedOrder estimation sequenceecd9496854d4
addedAcceleration by transformation79fab523485d
addedSeries acceleration methodsbd8e6fe7af00
addedAitken delta-squared process9aa4f152d89c
addedAitken usually does not increase order7e1203034300
addedAitken transform of linear convergencec819b4c9fb37
addedAitken transformed sequence remains linear9f410d9c3b44
addedAitken no improvement for higher ordercfa8803439d4
addedDiscretized approximation convergencec622f4c7e3bc
addedDiscretization scale parametersd83121ff52de
addedMethod asymptotic order and ratef1315f920357
addedDiscretization error scalingbe74d1d84103
addedLeading discretization error8e6cc2dac999
addedMultiple scale choices affect order02cddcd2f76e
addedSeveral-scale-parameter convergencea2b1334feb85
addedOrdinary differential equation example9f0c8ff1dbe0
addedInitial condition0cdab8a23a8c
addedForward Euler approximation52eb564e7fd0
addedEuler recurrenceac4ac6fcff1b
addedRecurrence solution4c0065d31a19
addedExact ODE solution9208332a6771
addedDiscrete approximation error91299c355b88
addedForward Euler asymptotic limit3cf4581839a5
addedPointwise Euler convergence orderd8c7fb31f00a
addedUniform Euler convergence on bounded intervals5c22a059eaee
addedEuler not uniformly convergent on positive realsa6f52df94381
addedFaster comparative orderf1cf81c359fd
addedSame comparative order4c11423c43b6
addedSame comparative rate and order2f5e3c3c20e4
addedSmall o characterization607e0ebcdeb3
addedKnuth notation characterization7a6907d153b2
addedAsymptotic equivalence notation4dc71c7c2a61
addedGeometric progressions asymptotic equivalence89dfbd2a1c16
addedGeometric progressions same orderb36e6c6bd2d8
addedGeometric progression faster order89fc277ef9d3
addedGeometric series errorsdd8e3effaf32
addedGeometric or exponential convergence75ae354629b1
addedLinear convergence relative to precision logarithmdcd55aa903b8
addedInverse-power sequences asymptotic equivalence1410cb8c6e88
addedInverse-power sequences same order7863f6ee0944
addedInverse-power sequence faster order2b4d2b39aea3
addedComparison with shifted sequence51a31ec53cac
addedQ-classification basis08f31ea5e3c8
addedQ-classification by shifted rescaled errorsb8af752a05ae
addedNon-asymptotic rates lack standard definitionsf3e8bffef32a
addedLyapunov theory framework081c591dddca
addedPractical iterative non-asymptotic rate38ed2e33fa40
addedNon-asymptotic rate inverseae0bde200c3e
addedPractical faster iterative convergence871d271bf377
addedNon-asymptotic rates depend on startscb28fc1d3fe1
addedAverage median worst-case rates80b5dadb290b
addedDiscretization non-asymptotic approache22e69a079ee
addedAccuracy-compatible discretization scale9ff83bf8db6c
addedAsymptotic estimate scale may be too smalld491a0669b60
addedPractical faster discretization convergence9659b20f2e38