Suchergebnisse - randomized algorithm for solving linear equations

  1. 1

    Stochastic Simulation Algorithms for Iterative Solution of the Lamé Equation von Aksyuk, I. A., Kireeva, A. E., Sabelfeld, K. K., Smirnov, D. D.

    ISSN: 1995-4239, 1995-4247
    Veröffentlicht: Moscow Pleiades Publishing 01.12.2023
    Veröffentlicht 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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    Journal Article
  2. 2

    Parallel implementations of randomized vector algorithm for solving large systems of linear equations von Sabelfeld, Karl K., Kireev, Sergey, Kireeva, Anastasiya

    ISSN: 0920-8542, 1573-0484
    Veröffentlicht: New York Springer US 01.07.2023
    Veröffentlicht 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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  3. 3

    On the convergence of randomized and greedy relaxation schemes for solving nonsingular linear systems of equations von Frommer, Andreas, Szyld, Daniel B.

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer US 01.01.2023
    Veröffentlicht 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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  4. 4

    On the randomized block Kaczmarz algorithms for solving matrix equation AXB=C von Niu, Yu-Qi, Zheng, Bing

    ISSN: 0377-0427
    Veröffentlicht: Elsevier B.V 01.05.2025
    Veröffentlicht 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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  5. 5

    Restarted randomized surrounding methods for solving large linear equations von Yin, Jun-Feng, Li, Nan, Zheng, Ning

    ISSN: 0893-9659, 1873-5452
    Veröffentlicht: Elsevier Ltd 01.11.2022
    Veröffentlicht 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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  6. 6

    On the Randomized Kaczmarz Algorithm von Liang Dai, Soltanalian, Mojtaba, Pelckmans, Kristiaan

    ISSN: 1070-9908, 1558-2361, 1558-2361
    Veröffentlicht: New York IEEE 01.03.2014
    Veröffentlicht 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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  7. 7

    A Randomized Distributed Kaczmarz Algorithm and Anomaly Detection von Keinert, Fritz, Weber, Eric S.

    ISSN: 2075-1680, 2075-1680
    Veröffentlicht: Basel MDPI AG 01.03.2022
    Veröffentlicht 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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  8. 8

    On the randomized multiple row-action methods for solving linear least-squares problems von Zuo, Qian, Wu, Nian-Ci, Liu, Chengzhi, Wang, Yatian

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer US 01.11.2025
    Veröffentlicht 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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  9. 9

    Solving the system of nonsingular tensor equations via randomized Kaczmarz-like method von Wang, Xuezhong, Che, Maolin, Mo, Changxin, Wei, Yimin

    ISSN: 0377-0427, 1879-1778
    Veröffentlicht: Elsevier B.V 15.03.2023
    Veröffentlicht 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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  10. 10

    A Note on the Behavior of the Randomized Kaczmarz Algorithm of Strohmer and Vershynin von Censor, Yair, Herman, Gabor T., Jiang, Ming

    ISSN: 1069-5869, 1531-5851
    Veröffentlicht: Boston SP Birkhäuser Verlag Boston 01.08.2009
    Veröffentlicht 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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  11. 11

    A subspace constrained randomized Kaczmarz method for structure or external knowledge exploitation von Lok, Jackie, Rebrova, Elizaveta

    ISSN: 0024-3795, 1873-1856
    Veröffentlicht: Elsevier Inc 01.10.2024
    Veröffentlicht 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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  12. 12

    A doubly stochastic block Gauss–Seidel algorithm for solving linear equations von Du, Kui, Sun, Xiao-Hui

    ISSN: 0096-3003, 1873-5649
    Veröffentlicht: Elsevier Inc 01.11.2021
    Veröffentlicht 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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  13. 13

    Randomized Kaczmarz algorithm with averaging and block projection von Zhang, Zeyi, Shen, Dong

    ISSN: 0006-3835, 1572-9125
    Veröffentlicht: Dordrecht Springer Netherlands 01.03.2024
    Veröffentlicht in BIT (01.03.2024)
    “… The randomized Kaczmarz algorithm is a simple iterative method for solving linear systems of equations …”
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  14. 14

    Accelerated greedy randomized augmented Kaczmarz algorithm for inconsistent linear systems von Liu, Yong

    ISSN: 0168-9274, 1873-5460
    Veröffentlicht: Elsevier B.V 01.01.2024
    Veröffentlicht 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 von He, Songnian, Wang, Ziting, Dong, Qiao-Li

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer US 01.05.2025
    Veröffentlicht 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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  16. 16

    Randomized Kaczmarz solver for noisy linear systems von Needell, Deanna

    ISSN: 0006-3835, 1572-9125
    Veröffentlicht: Dordrecht Springer Netherlands 01.06.2010
    Veröffentlicht 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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  17. 17

    A quantile-based block Kaczmarz algorithm for solving large consistent linear systems von Zhang, Ke, Deng, Jin-Yu, Jiang, Xiang-Long

    ISSN: 2238-3603, 1807-0302
    Veröffentlicht: Cham Springer International Publishing 01.02.2025
    Veröffentlicht 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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  18. 18

    Derandomizing Directed Random Walks in Almost-Linear Time von Kyng, Rasmus, Meierhans, Simon, Probst, Maximilian

    ISSN: 2575-8454
    Veröffentlicht: IEEE 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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    Tagungsbericht
  19. 19

    Randomized methods for dynamical low-rank approximation von Carrel, Benjamin

    ISSN: 0021-9991
    Veröffentlicht: Elsevier Inc 01.01.2026
    Veröffentlicht 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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