A preconditioning technique in conjunction with Krylov subspace methods for solving multilinear systems

DOI10.1016/j.aml.2021.107051zbMath1469.65070OpenAlexW3125661291MaRDI QIDQ2021496

Fatemeh Panjeh Ali Beik, Mehdi Najafi-Kalyani

Publication date: 27 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107051

zbMATH Keywords

preconditioningKrylov subspace methodArnoldi processHessenberg processmultilinear system

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Conditioning of matrices (15A12) Preconditioners for iterative methods (65F08)

Related Items (3)

A fast and efficient Newton-Shultz-type iterative method for computing inverse and Moore-Penrose inverse of tensors ⋮ Unnamed Item ⋮ A preconditioned tensor splitting iteration method and associated global correction technique for solving multilinear systems

Uses Software

• CMRH
• TensorToolbox

Cites Work

• Tensor Decompositions and Applications
• CMRH: A new method for solving nonsymmetric linear systems based on the Hessenberg reduction algorithm
• On global iterative schemes based on Hessenberg process for (ill-posed) Sylvester tensor equations
• Solving Multilinear Systems via Tensor Inversion
• Krylov subspace methods to solve a class of tensor equations via the Einstein product
• The global Hessenberg and CMRH methods for linear systems with multiple right-hand sides

This page was built for publication: A preconditioning technique in conjunction with Krylov subspace methods for solving multilinear systems