asymptotic scale or sequence
(0.002 seconds)
11—20 of 61 matching pages
11: Bibliography W
…
►
Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series.
Computer Physics Reports 10 (5-6), pp. 189–371.
►
Computation of the Whittaker function of the second kind by summing its divergent asymptotic series with the help of nonlinear sequence transformations.
Computers in Physics 10 (5), pp. 496–503.
…
►
Sequence Transformations and their Applications.
Mathematics in Science and Engineering, Vol. 154, Academic Press Inc., New York.
…
12: 8.18 Asymptotic Expansions of
13: 2.10 Sums and Sequences
§2.10 Sums and Sequences
►§2.10(i) Euler–Maclaurin Formula
… ► … ►§2.10(iv) Taylor and Laurent Coefficients: Darboux’s Method
… ►See also Flajolet and Odlyzko (1990).14: 1.9 Calculus of a Complex Variable
…
►
§1.9(v) Infinite Sequences and Series
… ►This sequence converges pointwise to a function if … ►§1.9(vii) Inversion of Limits
►Double Sequences and Series
… ► …15: 3.8 Nonlinear Equations
…
►Let be a sequence of approximations to a root, or fixed point, .
…for all sufficiently large, where and are independent of , then the sequence is said to have convergence of the
th order.
…
►For real functions the sequence of approximations to a real zero will always converge (and converge quadratically) if either:
…
►Starting this iteration in the neighborhood of one of the four zeros , sequences
are generated that converge to these zeros.
For an arbitrary starting point , convergence cannot be predicted, and the boundary of the set of points that generate a sequence converging to a particular zero has a very complicated structure.
…
16: Guide to Searching the DLMF
…
►
phrase:
►
math expression:
…
►If you do not want a term or a sequence of terms in your query to undergo math processing, you should quote them as a phrase.
…
any double-quoted sequence of textual words and numbers.
any LaTeX-like sequence of terms, excluding phrases.
17: 6.13 Zeros
…
►
6.13.1
…
18: 8.25 Methods of Computation
…
►Expansions involving incomplete gamma functions often require the generation of sequences
, , or for fixed and .
…