Globally Optimized Spectral Conjugate Gradient Methods under Nonmonotone Conditions
Qingdao Huang
Abstract
Qingdao Huang
Abstract
A class of spectral conjugate gradient methods was proposed which consider a nonmonotone line search scheme.According to different formulae,we gave a convergence analysis of some numerical experiments.Numerical results show the new method is more efficient in the iterative number.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
A class of spectral conjugate gradient methods was proposed which consider a nonmonotone line search scheme.According to different formulae,we gave a convergence analysis of some numerical experiments.Numerical results show the new method is more efficient in the iterative number.
Key concepts: Conjugate gradient method, Derivation of the conjugate gradient method, Conjugate residual method, Nonlinear conjugate gradient method, Biconjugate gradient method, Convergence (economics), Mathematics, Applied mathematics