Lin Sui-hua
Abstract
A new conjugate method is proposed by the formula for βk based on HS-DY formulas.We prove that,under the strong Wolfe-Powell line search,and the parameter σ∈(0,13),the corresponding method have sufficient descent and global convergence properties.Preliminary numerical results show that the proposed method is very promising.
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A new conjugate method is proposed by the formula for βk based on HS-DY formulas.We prove that,under the strong Wolfe-Powell line search,and the parameter σ∈(0,13),the corresponding method have sufficient descent and global convergence properties.Preliminary numerical results show that the proposed method is very promising.
Key concepts: Conjugate gradient method, Conjugate, Convergence (economics), Line search, Descent (aeronautics), Nonlinear conjugate gradient method, Gradient descent, Mathematics