Nonlinear Conjugate Gradient Methods for Unconstrained Optimization

For each method, the convergence analysis, the computational performances and the comparisons versus other conjugate gradient methods are given. The theory behind the conjugate gradient algorithms presented as a methodology is developed with a clear, rigorous, and friendly exposition; the reader wil...

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Bibliographic Details
Main Author: Andrei, Neculai
Format: eBook
Language:English
Published: Cham Springer International Publishing 2020, 2020
Edition:1st ed. 2020
Series:Springer Optimization and Its Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1. Introduction
  • 2. Linear Conjugate Gradient Algorithm
  • 3. General Convergence Results for Nonlinear Conjugate Gradient Methods
  • 4. Standard Conjugate Gradient Methods
  • 5. Acceleration of Conjugate Gradient Algorithms
  • 6. Hybrid and Parameterized Conjugate Gradient Methods
  • 7. Conjugate Gradient Methods as Modifications of the Standard Schemes
  • 8. Conjugate Gradient Methods Memoryless BFGS Preconditioned
  • 9. Three-Term Conjugate Gradient Methods
  • 10. Other Conjugate Gradient Methods
  • 11. Discussion and Conclusions
  • References
  • Author Index
  • Subject Index