Some iterative approaches for Sylvester tensor equations. II: A tensor format of simpler variant of GCRO-based methods

DOI10.1016/j.apnum.2021.10.022zbMath1484.65078OpenAlexW3212471039MaRDI QIDQ2058413

Azita Tajaddini, Lakhdar Elbouyahyaoui, Farid Saberi-Movahed, Mohammed Heyouni

Publication date: 9 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.10.022

zbMATH Keywords

truncationaccelerationsimpler GMRESGCROSylvester tensor equations

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Numerical methods for matrix equations (65F45)

Related Items (2)

Tensor product-type methods for solving Sylvester tensor equations ⋮ Deflated and restarted Krylov subspace methods for Sylvester tensor equations

Uses Software

• TensorToolbox
• SparseMatrix
• GCROT
• LYAPACK

Cites Work

• Tensor Decompositions and Applications
• Adaptive version of simpler GMRES
• Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case
• Nested Krylov methods based on GCR
• A tensor format for the generalized Hessenberg method for solving Sylvester tensor equations
• On the Krylov subspace methods based on tensor format for positive definite Sylvester tensor equations
• A Modified Block Flexible GMRES Method with Deflation at Each Iteration for the Solution of Non-Hermitian Linear Systems with Multiple Right-Hand Sides
• The university of Florida sparse matrix collection
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• A Simplified and Flexible Variant of GCROT for Solving Nonsymmetric Linear Systems
• Truncation Strategies for Optimal Krylov Subspace Methods
• GMRESR: a family of nested GMRES methods

This page was built for publication: Some iterative approaches for Sylvester tensor equations. II: A tensor format of simpler variant of GCRO-based methods