On HSS-Based Iteration Methods for Two Classes of Tensor Equations

DOI10.4208/eajam.140819.071019zbMath1468.65029OpenAlexW3014753591MaRDI QIDQ4986604

Mingyu Deng, Xue-Ping Guo

Publication date: 27 April 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.140819.071019

zbMATH Keywords

convergencelarge sparse systemHSS iterationtensor equation\(k\)-mode product

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Multilinear algebra, tensor calculus (15A69)

Related Items (3)

A Semi-Tensor Product of Tensors and Applications ⋮ King-NSS iteration method for solving a class of large sparse nonlinear systems ⋮ Tensor Bi-CR Methods for Solutions of High Order Tensor Equation Accompanied by Einstein Product

Uses Software

• Algorithm 862

Cites Work

• Unnamed Item
• On HSS-based iteration methods for weakly nonlinear systems
• A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations
• Tensor methods for large sparse systems of nonlinear equations
• Splitting iteration methods for non-Hermitian positive definite systems of linear equations
• On Newton-HSS Methods for Systems of Nonliear Equations with Positive-Definite Jacobian Matrices
• Algorithm 862
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Tensor-Krylov Methods for Solving Large-Scale Systems of Nonlinear Equations

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