A Newton's method characterization for real eigenvalue problems

DOI10.1007/s00211-019-01037-7zbMath1418.49030OpenAlexW2932944821MaRDI QIDQ2311878

Yanyan Li

Publication date: 4 July 2019

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-019-01037-7

zbMATH Keywords

Newton's methodreal eigenvalue problems

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Newton-type methods (49M15)

Cites Work

• A local mesh method for solving PDEs on point clouds
• An unconstrained global optimization framework for real symmetric eigenvalue problems
• Solving the Trust-Region Subproblem By a Generalized Eigenvalue Problem
• Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Method
• Inverse Iteration, Ill-Conditioned Equations and Newton’s Method
• Computing an Eigenvector with Inverse Iteration
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