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Local and superlinear convergence of a class of variable metric methods

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Publication:1146504
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DOI10.1007/BF02252133zbMath0447.65034MaRDI QIDQ1146504

S. H. Smith

Publication date: 1979

Published in: Computing (Search for Journal in Brave)


zbMATH Keywords

optimizationsuperlinear convergencevariable metric methodunconstrained minimization problemsBroyden class of quasi-Newton methods


Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)


Related Items

Limited-memory BFGS with displacement aggregation, Superlinear convergence of symmetric Huang's class of methods, Superlinear convergence of Broyden's boundedθ-class of methods, Local convergence analysis for partitioned quasi-Newton updates



Cites Work

  • On the Local and Superlinear Convergence of Quasi-Newton Methods
  • A Rapidly Convergent Descent Method for Minimization
  • Quasi-Newton Methods and their Application to Function Minimisation
  • A Family of Variable-Metric Methods Derived by Variational Means
  • A new approach to variable metric algorithms
  • The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations
  • Conditioning of Quasi-Newton Methods for Function Minimization
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