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New zero-finders for trust-region computations

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Publication:1678583
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DOI10.1007/s11075-016-0260-2zbMath1394.65040OpenAlexW2567302026MaRDI QIDQ1678583

Jin Yun Yuan, Maged Alkilayh, Lothar Reichel

Publication date: 17 November 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-016-0260-2


zbMATH Keywords

optimizationNewton's methodnonlinear equationscubic convergencetrust region subproblemzero-finder


Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Numerical methods based on nonlinear programming (49M37)



Uses Software

  • GQTPAR


Cites Work

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  • Smoothing by spline functions. II
  • Least squares with a quadratic constraint
  • Quadratically constrained least squares and quadratic problems
  • Gauss quadrature applied to trust region computations
  • Smoothing by spline functions.
  • A Trust-Region Approach to the Regularization of Large-Scale Discrete Forms of Ill-Posed Problems
  • Computing a Trust Region Step
  • Newton’s Method with a Model Trust Region Modification
  • Numerical Optimization
  • Trust Region Methods
  • Tikhonov Regularization with a Solution Constraint
  • A global Lanczos method for image restoration
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