Linear homotopy method for computing generalized tensor eigenpairs

DOI10.1007/s11464-017-0662-zzbMath1393.15033OpenAlexW2759671001MaRDI QIDQ721455

Liangmin Zhou, Lixing Han, Li-Ping Chen

Publication date: 19 July 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-017-0662-z

zbMATH Keywords

tensorpolynomial systemlinear homotopy

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items (3)

A homotopy method for computing the largest eigenvalue of an irreducible nonnegative tensor ⋮ Noda iteration for computing generalized tensor eigenpairs ⋮ Solving tensor E-eigenvalue problem faster

Uses Software

• Bertini
• TenEig
• NACLab

Cites Work

• D-eigenvalues of diffusion kurtosis tensors
• The number of eigenvalues of a tensor
• Eigenvalues of a real supersymmetric tensor
• On eigenvalue problems of real symmetric tensors
• Computing Tensor Eigenvalues via Homotopy Methods
• Solving Polynomial Systems Using Continuation for Engineering and Scientific Problems
• Finding All Solutions to a System of Polynomial Equations
• A Polyhedral Method for Solving Sparse Polynomial Systems
• All Real Eigenvalues of Symmetric Tensors
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
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