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There is a page named "Lanczos iteration" on Wikipedia
- 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...43 KB (8,287 words) - 09:57, 15 May 2024
- the Krylov subspace. It can be computed by Arnoldi iteration or Lanczos iteration. Gram iteration is a super-linear and deterministic method to compute...13 KB (2,476 words) - 13:47, 16 August 2024
- conjugate direction method for optimization, and variation of the Arnoldi/Lanczos iteration for eigenvalue problems. The intent of this article is to document...23 KB (4,964 words) - 23:22, 5 August 2024
- When applied to Hermitian matrices it reduces to the Lanczos algorithm. The Arnoldi iteration was invented by W. E. Arnoldi in 1951. An intuitive method...13 KB (1,842 words) - 09:21, 30 May 2024
- Cornelius (Cornel) Lanczos (Hungarian: Lánczos Kornél, pronounced [ˈlaːnt͡soʃ ˈkorneːl]; born as Kornél Lőwy, until 1906: Löwy (Lőwy) Kornél; February...13 KB (1,297 words) - 14:06, 12 July 2024
- solution x. Here xn is the nth approximation or iteration of x and xn+1 is the next or n + 1 iteration of x. Alternately, superscripts in parentheses are...10 KB (1,412 words) - 12:04, 6 August 2024
- properties of power iteration, methods relying on Krylov subspace frequently involve some orthogonalization scheme, such as Lanczos iteration for Hermitian...7 KB (958 words) - 00:50, 27 July 2024
- sequences of linear systems need to be solved. The Arnoldi iteration reduces to the Lanczos iteration for symmetric matrices. The corresponding Krylov subspace...20 KB (3,328 words) - 13:27, 28 June 2024
conjugate direction method for optimization, and variation of the Arnoldi/Lanczos iteration for eigenvalue problems. Despite differences in their approaches,...45 KB (7,321 words) - 09:55, 18 July 2024- algorithms Arnoldi iteration Inverse iteration Jacobi method Lanczos iteration Power iteration QR algorithm Rayleigh quotient iteration Gram–Schmidt process:...71 KB (7,827 words) - 18:40, 18 August 2024
- In computer science, the block Lanczos algorithm is an algorithm for finding the nullspace of a matrix over a finite field, using only multiplication...2 KB (263 words) - 20:23, 24 October 2023
- exact answer, or fewer if you approximate it with the power method or Lanczos iterations). The norm of the adjoint or transpose can be computed as follows...15 KB (2,552 words) - 15:18, 15 April 2024
- small gaussian basis code NanoGW - real-space wave functions and Lanczos iterative methods PySCF Quantum ESPRESSO - Wannier-function pseudopotential...8 KB (1,090 words) - 04:16, 17 July 2024
Image scaling (section Sinc and Lanczos resampling)behind sinc resampling are not completely met by real-world digital images. Lanczos resampling, an approximation to the sinc method, yields better results...17 KB (1,849 words) - 00:16, 25 June 2024- Cooley–Tukey FFT algorithm (redirect from Danielson-Lanczos lemma)of a size-N DFT as two size-N/2 DFTs is sometimes called the Danielson–Lanczos lemma, since the identity was noted by those two authors in 1942 (influenced...36 KB (5,397 words) - 03:21, 31 July 2024
- Eigenvalue algorithm (section Iterative algorithms)iteration, μ = λ. Power iteration finds the largest eigenvalue in absolute value, so even when λ is only an approximate eigenvalue, power iteration is...40 KB (4,865 words) - 17:55, 18 August 2024
- For large matrices, they are calculated iteratively by using Lanczos method, referred to as Golub-Kahan-Lanczos method. Bidiagonalization has a very similar...2 KB (162 words) - 02:31, 26 February 2022
noticeably sacrificing the small cost per iteration using more advanced matrix-free methods, such as the Lanczos algorithm or the Locally Optimal Block Preconditioned...114 KB (14,283 words) - 16:49, 3 July 2024
on the numerical solution of eigenvalue problems, the QR algorithm, the Lanczos algorithm, symmetric indefinite systems, and sparse matrix computations...9 KB (832 words) - 09:48, 12 August 2024- Numerical linear algebra (section Iterative methods)eigenvector problem we can use the Lanczos algorithm, and if A is non-symmetric, then we can use Arnoldi iteration. Several programming languages use...18 KB (2,507 words) - 03:52, 21 December 2023
- four-dimensional subspace M was exploited by Ludwik Silberstein (1914) and Cornelius Lanczos (1949) to exhibit a mathematical model of spacetime with speed of light