Numerical solution to a linear equation with tensor product structure

DOI10.1002/nla.2106zbMath1438.65092OpenAlexW2622167656MaRDI QIDQ4599021

Hung-Yuan Fan, Eric King-Wah Chu, Li-Ping Zhang, Yi-Min Wei

Publication date: 15 December 2017

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.2106

zbMATH Keywords

linear equationKronecker productStein equationCayley transformSylvester equationlarge-scale problemelliptic partial differential equation

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Multilinear algebra, tensor calculus (15A69) Linear equations (linear algebraic aspects) (15A06) Numerical linear algebra (65F99) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

Fourth-order tensor Riccati equations with the Einstein product ⋮ Deep Neural Networks for Solving Large Linear Systems Arising from High-Dimensional Problems ⋮ Newton's method for M-tensor equations ⋮ Iterative Tikhonov regularization of tensor equations based on the Arnoldi process and some of its generalizations

Uses Software

• Matlab
• TensorToolbox
• Algorithm 862
• htucker

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