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In mathematical analysis, particularly numerical analysis, the rate of convergence and order of convergence of a sequence that converges to a limit are any of several characterizations of how quickly that sequence approaches its limit. These are broadly divided into rates and orders of convergence that describe how quickly a sequence further approaches…
Art, Asymptotic rates of convergence for iterative methods & Overview
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convergence displaystyle sequence order asymptotic rate limit converge converges mu rates frac method said sequences textstyle lim error left right
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| the uniform norm | instance of | where the absolute value symbols stand for a metric for the space of solutions | 0.80 | text |
| the polygon meshes of a finite element method or the basis sets in computational chemistry | instance of | Similar definitions also apply for non-grid discretization schemes | 0.80 | text |
| the | instance of | relative to a logarithm of the absolute difference | 0.80 | text |
| an inverse of a number of grid or mesh points or a Fourier series cutoff frequency playing the role of inverse iterate number | instance of | similar approaches can be used with a discretization scale parameter | 0.80 | text |
| though it is not especially common | instance of | similar approaches can be used with a discretization scale parameter | 0.80 | text |
| Rate of convergence | related to Non-asymptotic rates of convergence | Non-asymptotic | 0.60 | section |
| Rate of convergence | related to Non-asymptotic rates of convergence | Among | 0.60 | section |
| Rate of convergence | related to Non-asymptotic rates of convergence | Lyapunov | 0.60 | section |
| Rate of convergence | related to Non-asymptotic rates of convergence | For | 0.60 | section |
| Rate of convergence | related to Non-asymptotic rates of convergence | The | 0.60 | section |
| Rate of convergence | related to Non-asymptotic rates of convergence | In | 0.60 | section |
| Rate of convergence | related to Non-asymptotic rates of convergence | These | 0.60 | section |
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