ITERATIVE ALGORITHMS FOR THE SYMMETRIC AND LEAST-SQUARES SYMMETRIC SOLUTION OF A TENSOR EQUATION

DOI10.17654/NT050020179OpenAlexW3159285423MaRDI QIDQ5074001

Qun Meng, Yu-Zhu Xie

Publication date: 6 May 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/nt050020179

zbMATH Keywords

iterative algorithmsymmetric solutionSylvester tensor equationEinstein productleast-squares symmetric solution

Mathematics Subject Classification ID

Numerical methods for matrix equations (65F45)

Cites Work

• Unnamed Item
• Tensor Decompositions and Applications
• A gradient based iterative solutions for Sylvester tensor equations
• An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation \(AXB\)=\(C\)
• A projection method and Kronecker product preconditioner for solving Sylvester tensor equations
• A general product of tensors with applications
• Iterative least-squares solutions of coupled sylvester matrix equations
• An iterative method for the least squares symmetric solution of the linear matrix equation \(AXB = C\)
• Orthogonal Tensor Decompositions
• Moore–Penrose inverse of tensors via Einstein product
• On the Krylov subspace methods based on tensor format for positive definite Sylvester tensor equations
• Solving Multilinear Systems via Tensor Inversion
• Backward error and perturbation bounds for high order Sylvester tensor equation
• Block Tensor Unfoldings
• An iterative algorithm to solve the generalized Sylvester tensor equations
• Gradient based iterative algorithms for solving a class of matrix equations
• Further results on generalized inverses of tensors via the Einstein product
• Iterative algorithms for solving some tensor equations

This page was built for publication: ITERATIVE ALGORITHMS FOR THE SYMMETRIC AND LEAST-SQUARES SYMMETRIC SOLUTION OF A TENSOR EQUATION