3. Conclusion

Today, the modifications of the line search techniques are very actual and all in the aim to create new, better optimization methods.

Further, following recent trends in unconstrained optimization, we can notice that almost all optimization methods, which are considered in this chapter, are still actual.

They are applied in the other areas of Mathematics, as well as in practice. Also, different modifications of these methods are made, in the aim to improve them.

Let us emphasize that BFGS update is very popular now.
