The power method for tensor eigenproblems and limiting directions of Newton iterates

DOI10.1002/nla.1883zbMath1313.65078OpenAlexW1910332697MaRDI QIDQ2936743

L. Ridgway Scott, Todd F. Dupont

Publication date: 6 January 2015

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

Full work available at URL: https://doi.org/10.1002/nla.1883

zbMATH Keywords

Newton's methodfixed-point algorithmtensor eigendirectiontensor eigenproblem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Multilinear algebra, tensor calculus (15A69)

Related Items (1)

The spectral theory of tensors and its applications

Cites Work

• Unnamed Item
• Eigenvalues and invariants of tensors
• The number of eigenvalues of a tensor
• Numerical multilinear algebra and its applications
• Finding the Largest Eigenvalue of a Nonnegative Tensor
• Tensor Methods for Nonlinear Equations
• Convergence Rates for Newton’s Method at Singular Points
• Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
• The Continuous Newton--Raphson Method Can Look Ahead
• On the Relationship between the Convergence Rates of Iterative and Continuous Processes

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