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New algorithms for solving nonlinear eigenvalue problems

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Publication:2038487
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DOI10.1134/S0965542521050092zbMath1469.65075OpenAlexW3195719478MaRDI QIDQ2038487

Walter Gander

Publication date: 7 July 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521050092


zbMATH Keywords

nonlinear eigenvalue problemalgorithmic differentiationthird order methods


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)


Related Items (2)

Computing eigenvalues of semi-infinite quasi-Toeplitz matrices ⋮ New applications of matrix methods


Uses Software

  • NLEVP


Cites Work

  • Solving nonlinear eigenvalue problems by algorithmic differentiation
  • A family of root finding methods
  • Zur iterativen Auflösung algebraischer Gleichungen
  • The Quadratic Eigenvalue Problem
  • NLEVP
  • Scaling, sensitivity and stability in the numerical solution of quadratic eigenvalue problems
  • On Halley's Iteration Method
  • Normwise Scaling of Second Order Polynomial Matrices
  • Scientific Computing - An Introduction using Maple and MATLAB


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