Abstract: Conjugate gradient (CG) methods are a class of important methods for solving linear equations and nonlinear optimization problems. In this paper, we propose a new stochastic CG algorithm ...

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Abstract: Based on the Riemannian modified Fletcher-Reeves conjugate gradient scheme, we propose a new model order reduction algorithm to reduce port-Hamiltonian (PH) systems by the two-sided ...

In this paper, we provide and analyze a new scaled conjugate gradient method and its performance, based on the modified secant equation of the Broyden-Fletcher-Goldfarb-Shanno (BFGS) method and on a ...

In this paper, three new hybrid nonlinear conjugate gradient methods are presented, which produce suf?cient descent search direction at every iteration. This property is independent of any line search ...