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...

In computer science, the block Lanczos algorithm is an algorithm for finding the nullspace of a matrix over a finite field, using only multiplication...

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

The Cooley–Tukey algorithm, named after J. W. Cooley and John Tukey, is the most common fast Fourier transform (FFT) algorithm. It re-expresses the discrete...

is designing efficient and stable algorithms for finding the eigenvalues of a matrix. These eigenvalue algorithms may also find eigenvectors. Given an...

few vectors of the basis the algorithm is building. When applied to Hermitian matrices it reduces to the Lanczos algorithm. The Arnoldi iteration was invented...

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...

ground state for the superblock is obtained via iterative algorithm such as the Lanczos algorithm of matrix diagonalization. Another choice is the Arnoldi...

well-defined spectral properties, and many numerical algorithms, such as the Lanczos algorithm, exploit these properties for efficient computations....

manipulating or even computing the similarity matrix), as in the Lanczos algorithm. For large-sized graphs, the second eigenvalue of the (normalized)...

the case of symmetric matrices, the corresponding variant of the Lanczos algorithm. It is used by many popular numerical computing environments such...

each row of the matrix is almost all zeros. In practice, the block Lanczos algorithm is often used. Also, the size of the factor base must be chosen carefully:...

method, the Lanczos algorithm, Locally Optimal Block Preconditioned Conjugate Gradient Method (LOBPCG), Wiedemann's coordinate recurrence algorithm, and the...

fast-multipole) Eigenvalue algorithms Arnoldi iteration Inverse iteration Jacobi method Lanczos iteration Power iteration QR algorithm Rayleigh quotient iteration...

symmetric (or Hermitian) matrix to tridiagonal form can be done with the Lanczos algorithm. A tridiagonal matrix is a matrix that is both upper and lower Hessenberg...

image quality: FSR 1 is a spatial upscaler based on or similar to the Lanczos algorithm, requiring an anti-aliased lower resolution image. It also performs...

University of California, Los Angeles. He also invented the block Lanczos algorithm for finding nullspace of a matrix over a finite field, which is very...

finite systems is possible via various methods. One such method, the Lanczos algorithm, can produce static and dynamic properties of the system. Ground state...

A fast Fourier transform (FFT) is an algorithm that computes the Discrete Fourier Transform (DFT) of a sequence, or its inverse (IDFT). A Fourier transform...

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

knowledge extraction and automated hypothesis generation Lanczos bidiagonalization (Lanczos algorithm) in linear algebra Lewy body dementia, an umbrella term...

per iteration using more advanced matrix-free methods, such as the Lanczos algorithm or the Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG)...

manipulating with or even computing the matrix W, as, e.g., in the Lanczos algorithm. Matrix-free methods require only a function that performs a matrix-vector...

3 {\displaystyle i>3} will be different from that obtained by the Lanczos algorithm, although both approximations will belong to the same Krylov subspace...

principles, for example the Schwinger-Lanczos method combining the variational principle of Schwinger with Lanczos algorithm. In the S-matrix formulation of...

then to solve the eigenvalue and eigenvector problem we can use the Lanczos algorithm, and if A is non-symmetric, then we can use Arnoldi iteration. Several...

follows the direction of lowest negative curvature (computed using the Lanczos algorithm) on the PES to reach the saddle point, relaxing in the perpendicular...

Gaussian elimination; in practice advanced methods like the block Lanczos algorithm are used, that take advantage of certain properties of the system...

better convergence than the QR algorithm.[citation needed] For large Hermitian sparse matrices, the Lanczos algorithm is one example of an efficient iterative...

thermodynamic limit using the numerical linked cluster expansion. Lanczos algorithm Weiße, Alexander; Fehske, Holger (2008). "Exact Diagonalization Techniques"...