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A series acceleration method is a sequence transformation that transforms the convergent sequences of partial sums of a series into more quickly convergent sequences of partial sums of an accelerated series with the same limit.
In numerical analysis, Aitken's delta-squared process or Aitken extrapolation is a series acceleration method used for accelerating the rate of convergence of a sequence. It is named after Alexander Aitken, who introduced this method in 1926. [1]
In asymptotic analysis in general, one sequence () that converges to a limit is said to asymptotically converge to with a faster order of convergence than another sequence () that converges to in a shared metric space with distance metric | |, such as the real numbers or complex numbers with the ordinary absolute difference metrics, if
FPGA-accelerated reference sequence alignment mapping tool from TimeLogic. Faster than Burrows–Wheeler transform-based algorithms like BWA and Bowtie. Supports up to 7 mismatches and/or indels with no performance penalty. Produces sensitive Smith–Waterman gapped alignments. Yes Yes Yes Yes Proprietary, commercial: XpressAlign
In mathematics, Anderson acceleration, also called Anderson mixing, is a method for the acceleration of the convergence rate of fixed-point iterations.Introduced by Donald G. Anderson, [1] this technique can be used to find the solution to fixed point equations () = often arising in the field of computational science.
It also shows the probability profile for the given base pair sequence to denature, as well as counting the number and location of denaturation runs. As the full SIDD computational method takes up a large amount of machine processing time (due to its complex nature), an accelerated algorithm proposed by Benham, et al., in their 1999 paper is ...
Evidence to date shows that of the 110,000 gene enhancer sequences identified in the human genome, HACNS1 has undergone the most change during the evolution of humans following the split with the ancestors of chimpanzees. [7] The substitutions in HAR2 may have resulted in loss of binding sites for a repressor, possibly due to biased gene ...
If the observed sequences contain both random variation in both their values, shape of observed sequences and random temporal misalignment, the warping may overfit to noise leading to biased results. A simultaneous model formulation with random variation in both values (vertical) and time-parametrization (horizontal) is an example of a ...