Globally convergent modified Perry's conjugate gradient method
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Publication:440856
DOI10.1016/j.amc.2012.02.076zbMath1245.65068OpenAlexW2032165185MaRDI QIDQ440856
Panagiotis Pintelas, Ioannis E. Livieris
Publication date: 19 August 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.076
unconstrained optimizationglobal convergenceconjugate gradient methodline searchsufficient descent property
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Uses Software
Cites Work
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- The convergence of conjugate gradient method with nonmonotone line search
- A variant spectral-type FR conjugate gradient method and its global convergence
- Sufficient descent nonlinear conjugate gradient methods with conjugacy condition
- Further insight into the Shamanskii modification of Newton method
- New conjugacy condition and related new conjugate gradient methods for unconstrained optimization
- Global convergence of a modified spectral FR conjugate gradient method
- Convergence of PRP method with new nonmonotone line search
- Multi-step nonlinear conjugate gradient methods for unconstrained minimization
- Two modified Dai-Yuan nonlinear conjugate gradient methods
- Globally convergent Polak-Ribière-Polyak conjugate gradient methods under a modified Wolfe line search
- Multi-step quasi-Newton methods for optimization
- A globally convergent version of the Polak-Ribière conjugate gradient method
- The superlinear convergence of a modified BFGS-type method for unconstrained optimization
- Using function-values in multi-step quasi-Newton methods
- Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search
- Two descent hybrid conjugate gradient methods for optimization
- On the Global Convergence of the BFGS Method for Nonconvex Unconstrained Optimization Problems
- Convergence Properties of Algorithms for Nonlinear Optimization
- A nonlinear conjugate gradient method based on the MBFGS secant condition
- Spectral conjugate gradient methods with sufficient descent property for large-scale unconstrained optimization
- Descent Property and Global Convergence of the Fletcher—Reeves Method with Inexact Line Search
- Technical Note—A Modified Conjugate Gradient Algorithm
- Global Convergence Properties of Conjugate Gradient Methods for Optimization
- Restart procedures for the conjugate gradient method
- Numerical Optimization
- CUTE
- Line search algorithms with guaranteed sufficient decrease
- A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
- A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
- Function minimization by conjugate gradients
- Methods of conjugate gradients for solving linear systems
- New conjugacy conditions and related nonlinear conjugate gradient methods
- A modified BFGS method and its global convergence in nonconvex minimization
- A spectral conjugate gradient method for unconstrained optimization
- Benchmarking optimization software with performance profiles.
