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

DOI10.1007/s40314-022-02013-yOpenAlexW4295575186WikidataQ114219247 ScholiaQ114219247MaRDI QIDQ2084994

Yanyan Li

Publication date: 14 October 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-02013-y

zbMATH Keywords

CP decompositionblock Hessenberg processextended block Hessenberg processlow-rank Sylvester tensor equationrecursive blocked algorithms

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (1)

Unnamed Item

Uses Software

• CMRH
• TensorToolbox
• LYAPACK

Cites Work

• Tensor Decompositions and Applications
• A gradient based iterative solutions for Sylvester tensor equations
• Krylov subspace projection method for Sylvester tensor equation with low rank right-hand side
• An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation
• The block Hessenberg process for matrix equations
• The block CMRH method for solving nonsymmetric linear systems with multiple right-hand sides
• CMRH: A new method for solving nonsymmetric linear systems based on the Hessenberg reduction algorithm
• Extended and rational Hessenberg methods for the evaluation of matrix functions
• Recursive blocked algorithms for linear systems with Kronecker product structure
• Extending BiCG and BiCR methods to solve the Stein tensor equation
• Developing iterative algorithms to solve Sylvester tensor equations
• Preconditioned tensor splitting iterations method for solving multi-linear systems
• A projection method and Kronecker product preconditioner for solving Sylvester tensor equations
• Extended Krylov subspace methods for solving Sylvester and Stein tensor equations
• On the Krylov subspace methods based on tensor format for positive definite Sylvester tensor equations
• A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations
• Algorithm 862
• Augmented and deflated CMRH method for solving nonsymmetric linear systems
• An iterative algorithm to solve the generalized Sylvester tensor equations
• A projection method to solve linear systems in tensor format

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