Search Results - Accelerated Jacobi gradient based iterative algorithm
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Iterative algorithms for discrete-time periodic Sylvester matrix equations and its application in antilinear periodic system
ISSN: 0168-9274, 1873-5460Published: Elsevier B.V 01.10.2021Published in Applied numerical mathematics (01.10.2021)“…) algorithm and the accelerated Jacobi gradient based iterative (AJGI) algorithm are proposed…”
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Iterative algorithm to the generalized coupled Sylvester‐transpose matrix equations with application in robust and minimum norm observer design of linear systems
ISSN: 0143-2087, 1099-1514Published: Glasgow Wiley Subscription Services, Inc 01.09.2024Published 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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An Accelerated Jacobi-Gradient Iterative Algorithm to Solve the Matrix Equation AZ-Z¯B=C
ISSN: 2731-8095, 2731-8109Published: Cham Springer International Publishing 01.06.2024Published 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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Linear Jacobi-Legendre expansion of the charge density for machine learning-accelerated electronic structure calculations
ISSN: 2057-3960, 2057-3960Published: London Nature Publishing Group UK 29.05.2023Published 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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The parameterized accelerated iteration method for solving the matrix equation AXB=C
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.10.2024Published 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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hcaPCG: A Heterogeneous and communication-avoid PCG with Jacobi preconditioner on SW26010-Pro architecture
ISSN: 2690-5965Published: IEEE 17.12.2023Published in Proceedings - International Conference on Parallel and Distributed Systems (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 -
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GPU Accelerated Matrix Solution Using Novel Preconditioner for Three Dimensional Laguerre-FDTD Method
ISSN: 2379-8815, 2379-8815Published: Piscataway IEEE 2025Published in IEEE journal on multiscale and multiphysics computational techniques (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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Several accelerated gradient-based iteration methods for solving $$AXB=C$$ with application to tensor surface fitting
ISSN: 1017-1398, 1572-9265Published: 07.10.2025Published in Numerical algorithms (07.10.2025)Get full text
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Fast alternating linearization methods for minimizing the sum of two convex functions
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2013Published 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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Efficient Approximation of Jacobian Matrices Involving a Non-Uniform Fast Fourier Transform (NUFFT)
ISSN: 2573-0436, 2333-9403Published: United States IEEE 2023Published in IEEE transactions on computational imaging (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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Modulus-based synchronous multisplitting iteration methods for linear complementarity problems
ISSN: 1070-5325, 1099-1506Published: Blackwell Publishing Ltd 01.05.2013Published 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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Parallel preconditioned conjugate gradient optimization of the Rayleigh quotient for the solution of sparse eigenproblems
ISSN: 0096-3003, 1873-5649Published: New York, NY Elsevier Inc 15.04.2006Published 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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Fast Alternating Linearization Methods for Minimizing the Sum of Two Convex Functions
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 13.10.2010Published 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 -
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Mapping sparse matrix scientific applications onto FPGA-augmented reconfigurable supercomputers
ISBN: 9781109957747, 1109957742Published: 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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