The Conjugate Residual Method in Linesearch and Trust-Region Methods
DOI10.1137/18M1204255zbMath1422.49031OpenAlexW2963188420MaRDI QIDQ5231696
Marie-Ange Dahito, Dominique Orban
Publication date: 27 August 2019
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1204255
unconstrained optimizationconjugate gradient methodinexact Newton methodtrust-region methodconjugate residual method
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Newton-type methods (49M15) Numerical methods based on nonlinear programming (49M37) Iterative numerical methods for linear systems (65F10)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Relaxationsmethoden bester Strategie zur Lösung linearer Gleichungssysteme
- On the truncated conjugate gradient method
- CUTEst: a constrained and unconstrained testing environment with safe threads for mathematical optimization
- Convexity and Concavity Detection in Computational Graphs: Tree Walks for Convexity Assessment
- Truncated-Newton algorithms for large-scale unconstrained optimization
- LSMR: An Iterative Algorithm for Sparse Least-Squares Problems
- The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
- An Algorithm for Least-Squares Estimation of Nonlinear Parameters
- LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
- Solution of Sparse Indefinite Systems of Linear Equations
- Quasi-Newton Methods, Motivation and Theory
- Stability of Conjugate Gradient and Lanczos Methods for Linear Least Squares Problems
- Trust Region Methods
- Newton's Method for Large Bound-Constrained Optimization Problems
- Calculating the Singular Values and Pseudo-Inverse of a Matrix
- The Conjugate Residual Method for Constrained Minimization Problems
- Methods of conjugate gradients for solving linear systems
- A method for the solution of certain non-linear problems in least squares
This page was built for publication: The Conjugate Residual Method in Linesearch and Trust-Region Methods