Extended Krylov subspace methods for solving Sylvester and Stein tensor equations

DOI10.3934/dcdss.2021026zbMath1500.15019OpenAlexW3149086699MaRDI QIDQ2673644

Smahane El-Halouy, Abdeslem Hafid Bentbib, El M. Sadek

Publication date: 10 June 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2021026

zbMATH Keywords

Arnoldi processextended Krylov subspaceSylvester tensor equationhigh dimensional PDEsStein tensor equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Equations involving linear operators, with operator unknowns (47A62) Multilinear algebra, tensor calculus (15A69) Numerical linear algebra (65F99)

Related Items (2)

Unnamed Item ⋮ Projection schemes based on Hessenberg process for Sylvester tensor equation with low-rank right-hand side

Uses Software

• LYAPACK

Cites Work

• Tensor Decompositions and Applications
• A gradient based iterative solutions for Sylvester tensor equations
• Extended Arnoldi methods for large low-rank Sylvester matrix equations
• Krylov subspace methods for projected Lyapunov equations
• Krylov subspace projection method for Sylvester tensor equation with low rank right-hand side
• Fundamental tensor operations for large-scale data analysis using tensor network formats
• An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation
• Extending BiCG and BiCR methods to solve the Stein tensor equation
• Numerical algorithms for solving discrete Lyapunov tensor equation
• On some extended block Krylov based methods for large scale nonsymmetric Stein matrix equations
• A projection method and Kronecker product preconditioner for solving Sylvester tensor equations
• On the Krylov subspace methods based on tensor format for positive definite Sylvester tensor equations
• Krylov Subspace Methods for Linear Systems with Tensor Product Structure
• A Kronecker product approximate preconditioner for SANs
• Application of ADI Iterative Methods to the Restoration of Noisy Images
• Gradient based iterative algorithms for solving a class of matrix equations
• A projection method to solve linear systems in tensor format

This page was built for publication: Extended Krylov subspace methods for solving Sylvester and Stein tensor equations