Solution of a Nonlinear Eigenvalue Problem Using Signed Singular Values

DOI10.4208/eajam.181016.300517czbMath1383.65054OpenAlexW2798496734MaRDI QIDQ4603422

Tomohiro Sogabe, Kouhei Ooi, Yusaku Yamamoto, Shao-Liang Zhang, Yoshinori Mizuno

Publication date: 20 February 2018

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.181016.300517c

zbMATH Keywords

numerical experimentsnonlinear eigenvalue problemturbulent flowcomputational efficiencyscaling exponentsigned singular value

Mathematics Subject Classification ID

Complexity and performance of numerical algorithms (65Y20) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Fundamentals of turbulence (76F02)

Cites Work

• Numerical computation of an analytic singular value decomposition of a matrix valued function
• Differential equations for the analytic singular value decomposition of a matrix
• An Arnoldi method for nonlinear eigenvalue problems
• Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems
• Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms
• Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms
• The Quadratic Eigenvalue Problem
• A numerical method for nonlinear eigenvalue problems using contour integrals
• Residual Inverse Iteration for the Nonlinear Eigenvalue Problem
• A Nonlinear QR Algorithm for Banded Nonlinear Eigenvalue Problems
• Algorithms for the Nonlinear Eigenvalue Problem
• Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I. Extreme eigenvalues
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