Fast and accurate randomized algorithms for linear systems and eigenvalue problems

Fast and accurate randomized algorithms for linear systems and eigenvalue problems

This paper develops a class of algorithms for general linear systems and eigenvalue problems. These algorithms apply fast randomized dimension reduction (``sketching"") to accelerate standard subspace projection methods, such as GMRES and Rayleigh--Ritz. This modification makes it possible...

Bibliográfalaš dieđut
Váldodahkkit:	Nakatsukasa, Y, Tropp, JA
Materiálatiipa:	Journal article
Giella:	English
Almmustuhtton:	Society for Industrial and Applied Mathematics 2024

Geahča maid

Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems
Dahkki: Nakatsukasa, Y, et al.
Almmustuhtton: (2019)

Rectangular eigenvalue problems
Dahkki: Hashemi, B, et al.
Almmustuhtton: (2022)

Least-squares spectral methods for ODE eigenvalue problems
Dahkki: Hashemi, B, et al.
Almmustuhtton: (2022)

Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint
Dahkki: Adachi, S, et al.
Almmustuhtton: (2017)

Solving two-parameter eigenvalue problems using an alternating method
Dahkki: Eisenmann, H, et al.
Almmustuhtton: (2022)

A FEAST Algorithm for the Linear Response Eigenvalue Problem
Dahkki: Zhongming Teng, et al.
Almmustuhtton: (2019-08-01)

Solving the Trust-Region Subproblem By a Generalized Eigenvalue Problem
Dahkki: Adachi, S, et al.
Almmustuhtton: (2017)

Solving generalized CDT problems via two-parameter eigenvalues
Dahkki: Sakaue, S, et al.
Almmustuhtton: (2016)

Eigenvalue inclusion sets for linear response eigenvalue problems
Dahkki: He Jun, et al.
Almmustuhtton: (2022-08-01)

A fast randomized algorithm for computing an approximate null space
Dahkki: Park, T, et al.
Almmustuhtton: (2023)

Twice is enough for dangerous eigenvalues
Dahkki: Horning, A, et al.
Almmustuhtton: (2022)

Homotopy algorithm for symmetric eigenvalue problems /
Dahkki: 170722 Li, T. Y., et al.

Stable polefinding and rational least-squares fitting via eigenvalues
Dahkki: Ito, S, et al.
Almmustuhtton: (2018)

Weighted Block Golub-Kahan-Lanczos Algorithms for Linear Response Eigenvalue Problem
Dahkki: Hongxiu Zhong, et al.
Almmustuhtton: (2019-01-01)

On minmax characterization in non-linear eigenvalue problems
Dahkki: Shirsho Mukherjee
Almmustuhtton: (2022-01-01)

A SEMI-LINEAR ELLIPTIC EIGENVALUE PROBLEM .1.
Dahkki: Keady, G, et al.
Almmustuhtton: (1980)

Eigenvalues assignment in uncontrollable linear systems
Dahkki: Tadeusz Kaczorek
Almmustuhtton: (2022-08-01)

A SEMI-LINEAR ELLIPTIC EIGENVALUE PROBLEM .2. THE PLASMA PROBLEM
Dahkki: Keady, G, et al.
Almmustuhtton: (1980)

An accurate method for solving a class of fractional Sturm-Liouville eigenvalue problems
Dahkki: Bothayna S.H. Kashkari, et al.
Almmustuhtton: (2018-06-01)

On the second eigenvalue of nonlinear eigenvalue problems
Dahkki: Marco Degiovanni, et al.
Almmustuhtton: (2018-12-01)

Partial eigenvalue assignment problem of linear control systems using orthogonality relations
Dahkki: Mohamed A. Ramadan, et al.
Almmustuhtton: (2006-04-01)

Inverse eigenvalue problems : theory, algorithms, and applications /
Dahkki: 170896 Chu, Moody T., et al.
Almmustuhtton: (2005)

Regularized Normalization Methods for Solving Linear and Nonlinear Eigenvalue Problems
Dahkki: Chein-Shan Liu, et al.
Almmustuhtton: (2023-09-01)

A linear algorithm for obtaining the Laplacian eigenvalues of a cograph
Dahkki: Chen Guantao, et al.
Almmustuhtton: (2024-09-01)

Accurate solution of the eigenvalue problem for some systems of ODE for calculating holes states in polynomial quantum wells
Dahkki: A Polupanov, et al.
Almmustuhtton: (2016-09-01)

A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem
Dahkki: Meltem Evrenosoglu Adiyaman, et al.
Almmustuhtton: (2012-01-01)

Fast randomized numerical rank estimation for numerically low-rank matrices
Dahkki: Meier, M, et al.
Almmustuhtton: (2024)

Accurate Asymptotic Formulas for Eigenvalues and Eigenfunctions of a Boundary-Value Problem of Fourth Order
Dahkki: Menken Hamza
Almmustuhtton: (2010-01-01)

Accurate Asymptotic Formulas for Eigenvalues and Eigenfunctions of a Boundary-Value Problem of Fourth Order
Dahkki: Hamza Menken
Almmustuhtton: (2010-01-01)

EIGENVALUES AND LINEAR QUASIRANDOM HYPERGRAPHS
Dahkki: JOHN LENZ, et al.
Almmustuhtton: (2015-01-01)

Trimmed sampling algorithm for the noisy generalized eigenvalue problem
Dahkki: Caleb Hicks, et al.
Almmustuhtton: (2023-04-01)

A combinational efficient algorithm for elliptic eigenvalue problems
Dahkki: Huirong Zhang, et al.
Almmustuhtton: (2016-06-01)

Adaptive Morley element algorithms for the biharmonic eigenvalue problem
Dahkki: Hao Li, et al.
Almmustuhtton: (2018-03-01)

On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition
Dahkki: Dongming Yan
Almmustuhtton: (2013-01-01)

Rayleigh-Ritz Majorization Error Bounds for the Linear Response Eigenvalue Problem
Dahkki: Teng Zhongming, et al.
Almmustuhtton: (2019-07-01)

The principal eigenvalue of some nth order linear boundary value problems
Dahkki: Pedro Almenar, et al.
Almmustuhtton: (2021-10-01)

Accurate calculation of the eigenvalues of non-uniform strings and membranes
Dahkki: Amore Paolo, et al.
Almmustuhtton: (2012-08-01)

Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem
Dahkki: Xiao-Chuan Xu, et al.
Almmustuhtton: (2019-06-01)

On the first eigenvalue of the Steklov eigenvalue problem for the infinity Laplacian
Dahkki: An Le
Almmustuhtton: (2006-09-01)

Nonlinear eigenvalue problems
Dahkki: Lippert, Ross Adams
Almmustuhtton: (2009)