In this paper, by linearly combining the numerator and denominator terms of Dai-Liao (DL) Bamigbola-Ali-Nwaeze (BAN) conjugate gradient methods (CGMs), a general form DL-BAN method has been proposed. From form, new hybrid CGM, which was found to possess sufficient descent property is generated. Numerical experiment carried out on CGM in comparison with four existing CGMs, using some set large s...

The conjugate gradient is a useful tool in solving large- and small-scale unconstrained optimization problems. In addition, the method can be applied many fields, such as engineering, medical research, computer science. this paper, convex combination of two different search directions proposed. new satisfies sufficient descent condition convergence analysis. Moreover, formula properties with pr...

The method of conjugate gradients provides a very effective way to optimize large, deterministic systems by gradient descent. In its standard form, however, it is not amenable to stochastic approximation of the gradient. Here we explore ideas from conjugate gradient in the stochastic (online) setting, using fast Hessian-gradient products to set up low-dimensional Krylov subspaces within individ...

We consider the problem of flux identification for 1-d scalar conservation laws formulating it as an optimal control problem. We introduce a new optimization strategy to compute numerical approximations of minimizing fluxes. We first prove the existence of minimizers. We also prove the convergence of discrete minima obtained by means of monotone numerical approximation schemes, by a Γ-convergen...

We consider the problem of flux identification for 1-d scalar conservation laws formulating it as an optimal control problem. We introduce a new optimization strategy to compute numerical approximations of minimizing fluxes. We first prove the existence of minimizers. We also prove the convergence of discrete minima obtained by means of monotone numerical approximation schemes, by a Γ-convergen...

There have been some conjugate gradient methods with strong convergence but numerical instability and conversely‎. Improving these is an interesting idea to produce new both and‎‏ ‎numerical stability‎. ‎In this paper‎, ‎a hybrid method introduced based on the Fletcher ‎formula (CD) Liu Storey formula (LS) good results‎. ‎New directions satisfy sufficient descent property‎, ‎independent of line...