Sensitivity analysis of the Lyapunov tensor equation

DOI10.1080/03081087.2018.1426714zbMath1407.15002OpenAlexW2793807623MaRDI QIDQ4622870

Li Liang, Baodong Zheng

Publication date: 18 February 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2018.1426714

zbMATH Keywords

sensitivityFrobenius normtensor equation\(l^{m,m,\dots,m}\) spectral norm

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Multilinear algebra, tensor calculus (15A69) Linear equations (linear algebraic aspects) (15A06)

Related Items (12)

On the solutions of a class of tensor equations ⋮ Solving coupled tensor equations via higher order LSQR methods ⋮ Fourth-order tensor Riccati equations with the Einstein product ⋮ Eigenvalues of the solution of the Lyapunov tensor equation ⋮ Conjugate gradient-like methods for solving general tensor equation with Einstein product ⋮ On global iterative schemes based on Hessenberg process for (ill-posed) Sylvester tensor equations ⋮ Reducible solution to a quaternion tensor equation ⋮ Numerical algorithms for solving discrete Lyapunov tensor equation ⋮ Iterative Tikhonov regularization of tensor equations based on the Arnoldi process and some of its generalizations ⋮ Some iterative approaches for Sylvester tensor equations. I: A tensor format of truncated loose simpler GMRES ⋮ Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications ⋮ Tensor Bi-CR Methods for Solutions of High Order Tensor Equation Accompanied by Einstein Product

Cites Work

• Unnamed Item
• Unnamed Item
• Tensor Decompositions and Applications
• New bound on the sensitivity of the solution of the Lyapunov equation
• Schur-decomposition for 3D matrix equations and its application in solving radiative discrete ordinates equations discretized by Chebyshev collocation spectral method
• Inertia characteristics of self-adjoint matrix polynomials
• A projection method and Kronecker product preconditioner for solving Sylvester tensor equations
• Eigenvalues of a real supersymmetric tensor
• On the Krylov subspace methods based on tensor format for positive definite Sylvester tensor equations
• Backward error and perturbation bounds for high order Sylvester tensor equation
• Tensor logarithmic norm and its applications
• The Sensitivity of the Stable Lyapunov Equation
• A Hessenberg-Schur method for the problem AX + XB= C
• Algebraic Lyapunov and Stein stability results for tensors
• Symmetric Tensors and Symmetric Tensor Rank
• Sensitivity of the stable discrete-time Lyapunov equation

This page was built for publication: Sensitivity analysis of the Lyapunov tensor equation