In mathematics, the Lanczos approximation is a method for computing the gamma function numerically, published by Cornelius Lanczos in 1964. It is a practical...

Cornelius (Cornel) Lanczos (Hungarian: Lánczos Kornél, pronounced [ˈlaːnt͡soʃ ˈkorneːl]; born as Kornél Lőwy, until 1906: Löwy (Lőwy) Kornél; February...

Lanczos filtering and Lanczos resampling are two applications of a certain mathematical formula. It can be used as a low-pass filter or used to smoothly...

the Lanczos approximation mentioned above works well for 1 to 2 digits of accuracy for small, commonly used values of z. If the Lanczos approximation is...

In mathematics, σ-approximation adjusts a Fourier summation to greatly reduce the Gibbs phenomenon, which would otherwise occur at discontinuities. An...

constant is precisely 2 π {\displaystyle {\sqrt {2\pi }}} . Lanczos approximation Spouge's approximation Dutka, Jacques (1991), "The early history of the factorial...

The Lanczos algorithm is an iterative method devised by Cornelius Lanczos that is an adaptation of power methods to find the m {\displaystyle m} "most...

{1}{2}}}.} The formula is similar to the Lanczos approximation, but has some distinct features. Whereas the Lanczos formula exhibits faster convergence, Spouge's...

The Lanczos tensor or Lanczos potential is a rank 3 tensor in general relativity that generates the Weyl tensor. It was first introduced by Cornelius...

The GW approximation (GWA) is an approximation made in order to calculate the self-energy of a many-body system of electrons. The approximation is that...

other properties. In 1952, Cornelius Lanczos showed that the Chebyshev polynomials are important in approximation theory for the solution of linear systems;...

gamma function Jordan–Pólya number Kempner function Lah number Lanczos approximation Lozanić's triangle Macaulay representation of an integer Mahler's...

improving approximate solutions for a class of problems, in which the i-th approximation (called an "iterate") is derived from the previous ones. A specific...

Gamma function: Lanczos approximation Spouge's approximation — modification of Stirling's approximation; easier to apply than Lanczos AGM method — computes...

approximation applies the principle of least squares to function approximation, by means of a weighted sum of other functions. The best approximation...

design and analysis of experiments. In 1942, G. C. Danielson and Cornelius Lanczos published their version to compute DFT for x-ray crystallography, a field...

x^{7}}}+\cdots } Similar in spirit to the Lanczos approximation of the Γ {\displaystyle \Gamma } -function is Spouge's approximation. Another alternative is to use...

Zheltkov, Dmitry; Zamarashkin, Nikolai; Matveev, Sergey (2023). "How to Make Lanczos-Montgomery Fast on Modern Supercomputers?". In Voevodin, Vladimir; Sobolev...

resampling are not completely met by real-world digital images. Lanczos resampling, an approximation to the sinc method, yields better results. Bicubic interpolation...

Cornelius Lanczos developed numerous techniques for mathematical calculations, of which the Lanczos algorithm and Lanczos approximation are named after...

algorithm is building. When applied to Hermitian matrices it reduces to the Lanczos algorithm. The Arnoldi iteration was invented by W. E. Arnoldi in 1951...

gravitational radiation. Correspondence principle Gravitoelectromagnetism Lanczos tensor Parameterized post-Newtonian formalism Post-Newtonian expansion...

SVD to rather large matrices is in numerical weather prediction, where Lanczos methods are used to estimate the most linearly quickly growing few perturbations...

The Gibbs phenomenon can be prevented by the use of σ-approximation, which uses the Lanczos sigma factors to help the sequence converge more smoothly...

interpolation Bilinear interpolation Bicubic interpolation Bézier surface Lanczos resampling Delaunay triangulation Bitmap resampling is the application...

regime. Hamilton, W.R., (1834). Kemble, E.C. (1937), pp. 7–10. Lanczos, C. (1949/1970). Lanczos wrote on p. 136: "[Maupertuis] ... thus pointed to that remarkable...

(Reprint of 1977 ed.). Courier Dover Publications. p. 1. ISBN 0-486-69690-1. Lanczos, Cornelius (1970). The variational principles of mechanics (4th ed.). New...

along each axis, as it is traditionally done on one dimensional data. Lanczos resampling is based on convolution of the data with a discrete representation...

Warm starts and computes an approximation to the eigenvector on every iteration. More numerically stable compared to the Lanczos method, and can operate in...

Abel's lemma Kronecker's lemma Bramble–Hilbert lemma Céa's lemma Danielson–Lanczos lemma (Fourier transforms) Farkas's lemma (linear programming) Feld–Tai...