Suchergebnisse - randomized algorithm for solving linear equations
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Stochastic Simulation Algorithms for Iterative Solution of the Lamé Equation
ISSN: 1995-4239, 1995-4247Veröffentlicht: Moscow Pleiades Publishing 01.12.2023Veröffentlicht in Numerical analysis and applications (01.12.2023)“… It does not use grids and does not require large amounts of RAM. The second method is based on a randomized algorithm for solving large systems of linear equations and requires the introduction of a grid …”
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Parallel implementations of randomized vector algorithm for solving large systems of linear equations
ISSN: 0920-8542, 1573-0484Veröffentlicht: New York Springer US 01.07.2023Veröffentlicht in The Journal of supercomputing (01.07.2023)“… The results of a parallel implementation of a randomized vector algorithm for solving systems of linear equations are presented in the paper …”
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On the convergence of randomized and greedy relaxation schemes for solving nonsingular linear systems of equations
ISSN: 1017-1398, 1572-9265Veröffentlicht: New York Springer US 01.01.2023Veröffentlicht in Numerical algorithms (01.01.2023)“… 1 -norms to measure the residuals. A major result is that the best convergence bounds that we obtain for the expected values in the randomized algorithm …”
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On the randomized block Kaczmarz algorithms for solving matrix equation AXB=C
ISSN: 0377-0427Veröffentlicht: Elsevier B.V 01.05.2025Veröffentlicht in Journal of computational and applied mathematics (01.05.2025)“… The randomized Kaczmarz algorithm is one of the most popular approaches for solving large-scale linear systems due to its simplicity and efficiency …”
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Restarted randomized surrounding methods for solving large linear equations
ISSN: 0893-9659, 1873-5452Veröffentlicht: Elsevier Ltd 01.11.2022Veröffentlicht in Applied mathematics letters (01.11.2022)“… A class of restarted randomized surrounding methods are presented to accelerate the surrounding algorithms by restarted techniques for solving the linear equations …”
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On the Randomized Kaczmarz Algorithm
ISSN: 1070-9908, 1558-2361, 1558-2361Veröffentlicht: New York IEEE 01.03.2014Veröffentlicht in IEEE signal processing letters (01.03.2014)“… The Randomized Kaczmarz Algorithm is a randomized method which aims at solving a consistent system of over determined linear equations …”
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A Randomized Distributed Kaczmarz Algorithm and Anomaly Detection
ISSN: 2075-1680, 2075-1680Veröffentlicht: Basel MDPI AG 01.03.2022Veröffentlicht in Axioms (01.03.2022)“… We introduce a randomized Kaczmarz algorithm for solving systems of linear equations in a distributed environment, i.e …”
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On the randomized multiple row-action methods for solving linear least-squares problems
ISSN: 1017-1398, 1572-9265Veröffentlicht: New York Springer US 01.11.2025Veröffentlicht in Numerical algorithms (01.11.2025)“… The randomized row-action method is a popular representative of the iterative algorithm because of its efficiency in solving the overdetermined and consistent systems of linear equations …”
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Solving the system of nonsingular tensor equations via randomized Kaczmarz-like method
ISSN: 0377-0427, 1879-1778Veröffentlicht: Elsevier B.V 15.03.2023Veröffentlicht in Journal of computational and applied mathematics (15.03.2023)“… In this paper, the Kaczmarz-like method, which is an effective approach for solving linear equations, is considered to deal with the system of tensor equations with nonsingular coefficient tensors …”
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A Note on the Behavior of the Randomized Kaczmarz Algorithm of Strohmer and Vershynin
ISSN: 1069-5869, 1531-5851Veröffentlicht: Boston SP Birkhäuser Verlag Boston 01.08.2009Veröffentlicht in The Journal of fourier analysis and applications (01.08.2009)“… ” is proposed for solving consistent systems of linear equations {〈 a i , x 〉= b i } i =1 m . In that algorithm the next equation to be used in an iterative Kaczmarz process is selected with a probability proportional to ‖ a i …”
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A subspace constrained randomized Kaczmarz method for structure or external knowledge exploitation
ISSN: 0024-3795, 1873-1856Veröffentlicht: Elsevier Inc 01.10.2024Veröffentlicht in Linear algebra and its applications (01.10.2024)“… We study a version of the randomized Kaczmarz algorithm for solving systems of linear equations where the iterates are confined to the solution space of a selected subsystem …”
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A doubly stochastic block Gauss–Seidel algorithm for solving linear equations
ISSN: 0096-3003, 1873-5649Veröffentlicht: Elsevier Inc 01.11.2021Veröffentlicht in Applied mathematics and computation (01.11.2021)“… •A simple doubly stochastic block Gauss-Seidel algorithm for solving linear systems of equations is proposed …”
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Randomized Kaczmarz algorithm with averaging and block projection
ISSN: 0006-3835, 1572-9125Veröffentlicht: Dordrecht Springer Netherlands 01.03.2024Veröffentlicht in BIT (01.03.2024)“… The randomized Kaczmarz algorithm is a simple iterative method for solving linear systems of equations …”
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Accelerated greedy randomized augmented Kaczmarz algorithm for inconsistent linear systems
ISSN: 0168-9274, 1873-5460Veröffentlicht: Elsevier B.V 01.01.2024Veröffentlicht in Applied numerical mathematics (01.01.2024)“… For solving inconsistent linear systems of equations iteratively, we further generalize the greedy randomized augmented Kaczmarz (GRAK …”
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Inertial randomized Kaczmarz algorithms for solving coherent linear systems
ISSN: 1017-1398, 1572-9265Veröffentlicht: New York Springer US 01.05.2025Veröffentlicht in Numerical algorithms (01.05.2025)“… In this paper, by regarding the two-subspace Kaczmarz method as an alternated inertial randomized Kaczmarz algorithm we present a better convergence rate estimate under a mild condition …”
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Randomized Kaczmarz solver for noisy linear systems
ISSN: 0006-3835, 1572-9125Veröffentlicht: Dordrecht Springer Netherlands 01.06.2010Veröffentlicht in BIT (Nordisk Tidskrift for Informationsbehandling) (01.06.2010)“… The Kaczmarz method is an iterative algorithm for solving systems of linear equations Ax = b …”
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A quantile-based block Kaczmarz algorithm for solving large consistent linear systems
ISSN: 2238-3603, 1807-0302Veröffentlicht: Cham Springer International Publishing 01.02.2025Veröffentlicht in Computational & applied mathematics (01.02.2025)“… We develop an efficient block Kaczmarz algorithm to improve the convergence rate of the randomized Kaczmarz method for solving consistent linear equations …”
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Derandomizing Directed Random Walks in Almost-Linear Time
ISSN: 2575-8454Veröffentlicht: IEEE 01.10.2022Veröffentlicht in Proceedings / annual Symposium on Foundations of Computer Science (01.10.2022)“… Previous reductions imply the first deterministic almost-linear time algorithms for computing various fundamental quantities on directed graphs including stationary distributions, personalized …”
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Randomized methods for dynamical low-rank approximation
ISSN: 0021-9991Veröffentlicht: Elsevier Inc 01.01.2026Veröffentlicht in Journal of computational physics (01.01.2026)“… [Display omitted] We introduce novel dynamical low-rank methods for solving large-scale matrix differential equations, motivated by algorithms from randomized numerical linear algebra …”
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Randomized Complete Pivoting for Solving Symmetric Indefinite Linear Systems
ISSN: 0895-4798, 1095-7162Veröffentlicht: 01.01.2018Veröffentlicht in SIAM journal on matrix analysis and applications (01.01.2018)Volltext
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