In numerical analysis, Aitken's delta-squared process or Aitken extrapolation is a series acceleration method used for accelerating the rate of convergence...
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function). Steffensen's method can be derived as an adaptation of Aitken's delta-squared process applied to fixed-point iteration. Viewed in this way, Steffensen's...
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squared may refer to: Laplace operator, a differential operator often denoted by the symbol ∇2 Hessian matrix, sometimes denoted by ∇2 Aitken's delta-squared...
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Gibb. In 1927, Aitken published what became known as Aitken delta-squared process as part of an extension to Bernoulli's method. Aitken was awarded the...
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Implementing higher-order convergence would require Aitken's delta-squared process. Aitken's delta-squared process Graeffe's method Horner's method Lehmer-Schur...
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place, having used what is now called the Aitken's delta-squared process, rediscovered later by Alexander Aitken. Seki was influenced by Japanese mathematics...
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similar to Neville's algorithm. See also Aitken's delta-squared process or Aitken extrapolation. Weisstein, Eric W. "Aitken Interpolation". MathWorld. v t e...
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transformation is essentially the same as used in Aitken's delta-squared process so that as with Aitken's method, the right-most expression in S ( A n )...
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research mathematician from New Zealand Aitken's delta-squared process, a mathematical method Michael Aitkens, British television writer Aitkin (disambiguation)...
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{\displaystyle n.} See for instance the binomial transform and Aitken's delta-squared process. In the simplest case the elements of the sequences, the s n...
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the process again return None # Newton's method did not converge Aitken's delta-squared process Bisection method Euler method Fast inverse square root...
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Richardson extrapolation (section Process)
print("The last computed extrapolate was ", A(maxRows, maxRows)) end Aitken's delta-squared process Takebe Kenko Richardson iteration Richardson, L. F. (1911)....
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Series acceleration (section Aitken method)
known and used by Katahiro Takebe in 1722; the Aitken delta-squared process, introduced by Alexander Aitken in 1926 but also known and used by Takakazu Seki...
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acceleration method such as Anderson acceleration and Aitken's delta-squared process. The application of Aitken's method to fixed-point iteration is known as Steffensen's...
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acceleration by sequence transformation is Aitken's delta-squared process. These methods in general, and in particular Aitken's method, do not typically increase...
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methods to accelerate the speed of convergence of a series Aitken's delta-squared process — most useful for linearly converging sequences Minimum polynomial...
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Society Alexander Aitken, mathematician, worked in Hut 6 Bletchley Park decrypting the ENIGMA code, known for the Aitken's delta-squared process Sir Michael...
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mathematical physics, Copley Medalist Alexander Aitken (1946-1965), known for the Aitken's delta-squared process, WW2 cryptologist at Bletchley Park Arthur...
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{\displaystyle \delta _{j}^{i}} . Sometimes the Kronecker delta is called the substitution tensor. In the study of digital signal processing (DSP), the Kronecker...
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be (fully) efficient. Such a solution achieves the lowest possible mean squared error among all unbiased methods, and is, therefore, the minimum variance...
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Quadratic equation (section Completing the square)
each side by a, the coefficient of the squared term. Subtract the constant term c/a from both sides. Add the square of one-half of b/a, the coefficient of...
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Cholesky decomposition (section Linear least squares)
{\displaystyle \alpha <1} . Such slow convergence may be sped by Aitken δ 2 {\displaystyle \delta ^{2}} method. If calculation of R − 1 {\displaystyle {\bf {R^{\rm...
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ν 2 {\displaystyle \chi _{\nu }^{2}} (i.e. multivariate normal and chi-squared distributions) respectively, the matrix Σ {\displaystyle \mathbf {\Sigma...
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expected that the Holiday Inn Express brand would help in the recovery process. In 2024, IHG signed an expansive cooperation and franchise agreement with...
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{^{13}C}}}{{\ce {^{12}C}}}}\right)_{{\ce {sample}}}=\left(1+{\frac {{\ce {\delta^{13}C}}}{1000}}\right)\left({\frac {{\ce {^{13}C}}}{{\ce {^{12}C}}}}\right)_{{\ce...
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Alpheratz (redirect from Delta Pegasi)
assigned it a designation in both constellations: Alpha Andromedae (α And) and Delta Pegasi (δ Peg). Since the IAU standardized constellation boundaries and...
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perceived saturation of the music industry by pop, exemplified by Stock Aitken Waterman's domination of the charts. This continued in the 1990s, as boy...
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Vladimir Yefimov, leader of one such organisation, explained how the process worked in the Ural area. The organisation recruited mostly army veterans...
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obtained a loan of approximately $425 million from them in 1998. In the process of its rapid expansion, the bank engaged in numerous questionable practices...
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Trailways Transportation System, and the ocean liner and cargo shipping company Delta Shipping. In 1971, the company constructed the Holiday Inn University and...
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