Search Results - Accelerated Jacobi gradient based iterative algorithm

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  1. 1

    Iterative algorithms for discrete-time periodic Sylvester matrix equations and its application in antilinear periodic system by Wang, Wenli, Song, Caiqin

    ISSN: 0168-9274, 1873-5460
    Published: Elsevier B.V 01.10.2021
    Published in Applied numerical mathematics (01.10.2021)
    “…) algorithm and the accelerated Jacobi gradient based iterative (AJGI) algorithm are proposed…”
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    Journal Article
  2. 2

    Iterative algorithm to the generalized coupled Sylvester‐transpose matrix equations with application in robust and minimum norm observer design of linear systems by Qi, Rui, Song, Caiqin

    ISSN: 0143-2087, 1099-1514
    Published: Glasgow Wiley Subscription Services, Inc 01.09.2024
    Published in Optimal control applications & methods (01.09.2024)
    “… Based on the Jacobi iterative algorithm, the full‐row rank accelerated Jacobi gradient based iterative (RRAJGI…”
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    Journal Article
  3. 3

    An Accelerated Jacobi-Gradient Iterative Algorithm to Solve the Matrix Equation AZ-Z¯B=C by Bayoumi, Ahmed M. E.

    ISSN: 2731-8095, 2731-8109
    Published: Cham Springer International Publishing 01.06.2024
    Published in Iranian journal of science (Online) (01.06.2024)
    “…In this paper, we present an accelerated Jacobi-gradient-based iterative AJGI algorithm to solve the matrix equation A Z - Z ¯ B…”
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    Journal Article
  4. 4

    Linear Jacobi-Legendre expansion of the charge density for machine learning-accelerated electronic structure calculations by Focassio, Bruno, Domina, Michelangelo, Patil, Urvesh, Fazzio, Adalberto, Sanvito, Stefano

    ISSN: 2057-3960, 2057-3960
    Published: London Nature Publishing Group UK 29.05.2023
    Published in npj computational materials (29.05.2023)
    “… We develop a grid-centred structural representation, based on Jacobi and Legendre polynomials combined with a linear regression, to accurately learn the converged DFT charge density…”
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    Journal Article
  5. 5

    The parameterized accelerated iteration method for solving the matrix equation AXB=C by Tian, Zhaolu, Duan, Xuefeng, Wu, Nian-Ci, Liu, Zhongyun

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.10.2024
    Published in Numerical algorithms (01.10.2024)
    “… Furthermore, for some certain cases, the optimal parameters can be determined, and it is demonstrated that the PAI method is more efficient than the gradient-based iteration (GBI) method (Ding et al. Appl. Math. Comput. 197 , 41–50 2008…”
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    Journal Article
  6. 6

    hcaPCG: A Heterogeneous and communication-avoid PCG with Jacobi preconditioner on SW26010-Pro architecture by Tian, Min, Liu, Yue, Wang, Li, Chen, Yanyan, Liu, Qi, Pan, Jingshan

    ISSN: 2690-5965
    Published: IEEE 17.12.2023
    “…Due to its efficiency and versatility, the preconditioned conjugate gradient algorithm has long been a staple in the realm of iterative linear system solvers…”
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    Conference Proceeding
  7. 7

    GPU Accelerated Matrix Solution Using Novel Preconditioner for Three Dimensional Laguerre-FDTD Method by Wang, Yifan, Guo, Yiliang, Corsello, Joshua, Swaminathan, Madhavan

    ISSN: 2379-8815, 2379-8815
    Published: Piscataway IEEE 2025
    “… In this work, we demonstrate an innovative approach to replace direct matrix solver with an iterative algorithm for the Laguerre-FDTD method…”
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    Journal Article
  8. 8
  9. 9

    Fast alternating linearization methods for minimizing the sum of two convex functions by Goldfarb, Donald, Ma, Shiqian, Scheinberg, Katya

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2013
    Published in Mathematical programming (01.10.2013)
    “…We present in this paper alternating linearization algorithms based on an alternating direction augmented Lagrangian approach for minimizing the sum of two convex functions…”
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    Journal Article
  10. 10

    Efficient Approximation of Jacobian Matrices Involving a Non-Uniform Fast Fourier Transform (NUFFT) by Wang, Guanhua, Fessler, Jeffrey A.

    ISSN: 2573-0436, 2333-9403
    Published: United States IEEE 2023
    “… Commonly used NUFFT algorithms contain frequency domain interpolation, which is not differentiable with respect to the sampling pattern, complicating the use of gradient methods…”
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    Journal Article
  11. 11

    Modulus-based synchronous multisplitting iteration methods for linear complementarity problems by Bai, Zhong-Zhi, Zhang, Li-Li

    ISSN: 1070-5325, 1099-1506
    Published: Blackwell Publishing Ltd 01.05.2013
    Published in Numerical linear algebra with applications (01.05.2013)
    “…‐point equations, we construct modulus‐based synchronous multisplitting iteration methods based on multiple splittings of the system matrix…”
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    Journal Article
  12. 12

    Parallel preconditioned conjugate gradient optimization of the Rayleigh quotient for the solution of sparse eigenproblems by Bergamaschi, Luca, Martínez, Ángeles, Pini, Giorgio

    ISSN: 0096-3003, 1873-5649
    Published: New York, NY Elsevier Inc 15.04.2006
    Published in Applied mathematics and computation (15.04.2006)
    “…A parallel algorithm based on the multidimensional minimization of the Rayleigh quotient is proposed to evaluate the leftmost eigenpairs of the generalized symmetric positive definite eigenproblem…”
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    Journal Article
  13. 13

    Fast Alternating Linearization Methods for Minimizing the Sum of Two Convex Functions by Goldfarb, Donald, Ma, Shiqian, Scheinberg, Katya

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 13.10.2010
    Published in arXiv.org (13.10.2010)
    “…We present in this paper first-order alternating linearization algorithms based on an alternating direction augmented Lagrangian approach for minimizing the sum of two convex functions…”
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    Paper
  14. 14

    Mapping sparse matrix scientific applications onto FPGA-augmented reconfigurable supercomputers by Morris, Gerald R

    ISBN: 9781109957747, 1109957742
    Published: ProQuest Dissertations & Theses 01.01.2006
    “…) compilers that facilitate development of FPGA-based kernels using HLL-based programming rather than HDL-based hardware design…”
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    Dissertation