PRECONDITIONED AOR ITERATIVE METHODS FOR SOLVING MULTI-LINEAR SYSTEMS WITH 𝓜-TENSOR

DOI10.14317/jami.2021.587zbMath1499.65178OpenAlexW3211530975MaRDI QIDQ5020354

Xin-hui Shao, Meng Qi

Publication date: 5 January 2022

Full work available at URL: http://koreascience.or.kr/article/JAKO202116954714825.page

zbMATH Keywords

iteration methodpreconditionermulti-linear systems\( \mathcal{M} \)-tensorAOR-type method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of solutions to single equations (65H05)

Related Items (2)

A new preconditioned AOR-type method for \(\mathcal{M}\)-tensor equation ⋮ Further study on existence and uniqueness of positive solution for tensor equations

Cites Work

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• The sparsest solutions to \(Z\)-tensor complementarity problems
• Perron-Frobenius theorem for nonnegative tensors
• Some generalized projection methods for solving operator equations
• The survey of preconditioners used for accelerating the rate of convergence in the Gauss-Seidel method.
• Comparison results for splitting iterations for solving multi-linear systems
• The tensor splitting with application to solve multi-linear systems
• Tensor methods for solving symmetric \({\mathcal {M}}\)-tensor systems
• Alternating iterative methods for solving tensor equations with applications
• A globally and quadratically convergent algorithm for solving multilinear systems with \(\mathcal {M}\)-tensors
• Tensor absolute value equations
• Preconditioned Jacobi type method for solving multi-linear systems with \(\mathcal{M}\)-tensors
• A new preconditioned SOR method for solving multi-linear systems with an \(\mathcal{M} \)-tensor
• Preconditioned tensor splitting iterations method for solving multi-linear systems
• Solving sparse non-negative tensor equations: algorithms and applications
• Solving multi-linear systems with \(\mathcal {M}\)-tensors
• A homotopy method for solving multilinear systems with M-tensors
• \(M\)-tensors and nonsingular \(M\)-tensors
• Eigenvalues of a real supersymmetric tensor
• Accelerated iterative method for \(Z\)-matrices
• Accelerated Overrelaxation Method
• Tensor Analysis

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