Search Results - Jacobi‐gradient iterative algorithm
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A shift‐splitting Jacobi‐gradient iterative algorithm for solving the matrix equation A𝒱−𝒱‾B=C
ISSN: 0143-2087, 1099-1514Published: Hoboken, USA John Wiley & Sons, Inc 01.07.2024Published in Optimal control applications & methods (01.07.2024)“…To improve the convergence of the gradient iterative (GI) algorithm and the Jacobi…”
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A shift‐splitting Jacobi‐gradient iterative algorithm for solving the matrix equation Að'±−ð'±‾B=C
ISSN: 0143-2087, 1099-1514Published: Glasgow Wiley Subscription Services, Inc 01.07.2024Published in Optimal control applications & methods (01.07.2024)“…To improve the convergence of the gradient iterative (GI) algorithm and the Jacobi…”
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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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An Accelerated Jacobi-Gradient Iterative Algorithm to Solve the Matrix Equation $${\varvec{A}}\boldsymbol{ Z}-\overline{\boldsymbol{ Z}}{\varvec{B}}={\varvec{C}}
ISSN: 2731-8095, 2731-8109Published: 01.06.2024Published in Iranian journal of science (Online) (01.06.2024)Get full text
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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)“… Inspired by Jacobi iterative algorithm and hierarchical identification principle, the Jacobi gradient based iterative (JGI…”
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Constrained solutions of generalized coupled discrete-time periodic matrix equations with application in state observer design for linear periodic systems
ISSN: 0264-4401, 1758-7077Published: Bradford Emerald Publishing Limited 27.11.2024Published in Engineering computations (27.11.2024)“…) matrix equations from the perspective of optimization.Design/methodology/approachThe paper considers generalized reflexive solutions of the GCDTP matrix equations by applying the Jacobi gradient-based iterative (JGI…”
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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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The full-rank JGI algorithm for the generalized coupled Sylvester-transpose matrix equations
ISSN: 2642-3901Published: ICROS 17.10.2023Published in International Conference on Control, Automation and Systems (Online) (17.10.2023)“… Based on the Jacobi iterative algorithm and the principle of hierarchical identification, the full-row rank Jacobi gradient based iterative (RRJGI…”
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Conference Proceeding -
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A shift-splitting hierarchical identification iterative algorithm for solving the matrix equation AX−X‾B=C
ISSN: 1687-1839, 2731-4235, 1687-1847Published: Cham Springer International Publishing 01.12.2025Published in Advances in continuous and discrete models (01.12.2025)“…) iterative method and to compare it to the Jacobi-gradient iterative algorithm (JGI) (Bayoumi in Appl. Math. Inf. Sci. ( 2021 )) and the gradient iterative algorithm…”
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Modified Jacobi-Gradient Iterative Method for Generalized Sylvester Matrix Equation
ISSN: 2073-8994, 2073-8994Published: 01.11.2020Published in Symmetry (Basel) (01.11.2020)“…We propose a new iterative method for solving a generalized Sylvester matrix equation A1XA2+A3XA4…”
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Massively Parallel Implementation of Divide-and-Conquer Jacobi Iterations Using Particle-Mesh Ewald for Force Field Polarization
ISSN: 1549-9626, 1549-9626Published: United States 10.07.2018Published in Journal of chemical theory and computation (10.07.2018)“… Iterative convergence is accelerated with direct inversion of the iterative subspace (DIIS) extrapolation. Compared to widely used preconditioned conjugate gradient…”
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Gradient based iterative solutions for general linear matrix equations
ISSN: 0898-1221, 1873-7668Published: Elsevier Ltd 01.10.2009Published in Computers & mathematics with applications (1987) (01.10.2009)“…In this paper, we present a gradient based iterative algorithm for solving general linear matrix equations by extending the Jacobi iteration and by applying the hierarchical identification principle…”
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Solving large mixed linear models using preconditioned conjugate gradient iteration
ISSN: 0022-0302Published: United States 01.12.1999Published in Journal of dairy science (01.12.1999)“… A new computing technique feasible in Jacobi and conjugate gradient based iterative methods using iteration on data is presented…”
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Scalable Evaluation of Polarization Energy and Associated Forces in Polarizable Molecular Dynamics: I. Toward Massively Parallel Direct Space Computations
ISSN: 1549-9626Published: United States 08.04.2014Published in Journal of chemical theory and computation (08.04.2014)“…) simulations with periodic boundary conditions (PBC). The Smooth Particle-Mesh Ewald technique is combined with two optimal iterative strategies, namely, a preconditioned…”
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A Weighted Gauss-Seidel Iterative Algorithm with Fast Convergence
Published: IEEE 07.07.2023Published in 2023 3rd International Symposium on Computer Technology and Information Science (ISCTIS) (07.07.2023)“… The proposed algorithm uses a mixture of Conjugate Gradient and Jacobi iterations to select the optimal search direction…”
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Conference Proceeding -
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Coordinated Interference Management Based on Potential Game in MultiCell OFDMA Networks with Diverse QoS Guarantee
ISSN: 1550-2252Published: IEEE 01.05.2014Published in IEEE VTS Vehicular Technology Conference (1999) (01.05.2014)“… Furthermore, an improved gradient projection rule with variable step size and Jacobi iterative algorithm are utilized to solve the optimization problem…”
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Conference Proceeding -
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Improving the performance of classical linear algebra iterative methods via hybrid parallelism
ISSN: 0743-7315, 1096-0848Published: Elsevier Inc 01.09.2023Published in Journal of parallel and distributed computing (01.09.2023)“…We propose fork-join and task-based hybrid implementations of four classical linear algebra iterative methods (Jacobi, Gauss…”
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Privacy-preserving Linear Regression Scheme and Its Application
ISSN: 1002-137XPublished: Chongqing Guojia Kexue Jishu Bu 01.09.2022Published in Ji suan ji ke xue (01.09.2022)“… users.The scheme is divided into two stages.The first stage implements the statistic gradient descent algorithm in the ciphertext…”
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Efficient iterative solvers for structural dynamics problems
ISSN: 0045-7949, 1879-2243Published: Elsevier Ltd 01.11.2004Published in Computers & structures (01.11.2004)“… This study explores an alternative approach to solving the resulting linear systems by using preconditioned iterative schemes such as the preconditioned conjugate gradient algorithm and its variants…”
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Sparse Matrix Computations on Reconfigurable Hardware
ISSN: 0018-9162, 1558-0814Published: New York IEEE 01.03.2007Published in Computer (Long Beach, Calif.) (01.03.2007)“…Using a high-level-language to hardware-description-language compiler and some novel architectures and algorithms to map two well-known double-precision floating-point sparse matrix iterative-linear…”
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