Globally convergent three-term conjugate gradient methods that use secant conditions and generate descent search directions for unconstrained optimization (Q438775)

Making use of the three-term conjugate gradient methods by \textit{Y. Narushima, H. Yabe} and \textit{J. A. Ford} [SIAM J. Optim. 21, No. 1, 212--230 (2011; Zbl 1250.90087)], the authors propose three-term conjugate gradient methods based on secant conditions for unconstrained optimization problems and prove the global convergence of the methods. Special-purpose three-term conjugate gradient methods based on structured secant conditions are also given together with applying them to nonlinear least squares problems and some numerical experiments.