A power method for nonlinear operators

DOI10.1080/00036810701667305zbMath1141.65037OpenAlexW2052756384WikidataQ58306540 ScholiaQ58306540MaRDI QIDQ5443502

Sean Eastman, Donald J. Estep

Publication date: 21 February 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701667305

zbMATH Keywords

stabilityconvergenceeigenvaluesHilbert spaceeigenvectorsnonlinear operatornonlinear power method

Mathematics Subject Classification ID

Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Numerical solutions to equations with nonlinear operators (65J15)

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Cites Work

• On the powers of a matrix with perturbations
• Matrix Algorithms
• A dynamical systems proof of the Krein–Rutman Theorem and an extension of the Perron Theorem
• On the slowness of phase boundary motion in one space dimension
• An analysis of numerical approximations of metastable solutions of the bistable equation
• Accounting for stability: a posteriori error estimates based on residuals and variational analysis
• Metastable patterns in solutions of u_t = ϵ²u_xx − f(u)
• Functional Analysis
• Matrix Powers in Finite Precision Arithmetic

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