# Talk:Derivation of the conjugate gradient method

Like it or nor, if you bother to read their ground-breaking paper at all, you will see that this is the published way Hestenes and Stiefel developed CG. Hestenes and Stiefel introduced the function ${\displaystyle f({\boldsymbol {x}})}$ to show how the conjugate directions method can be viewed as a relaxation method. That function so happens to induce successive minima along the search directions that correspond to the iterates of CG. This could well be a coincidence, whose origin you simply cannot question. Some more common sense tells you that this section is unfinished. Hestenes and Stiefel devoted an entire section in their paper to deriving CG from CD, which just cannot be squeezed into this few words. Kxx (talk | contribs) 08:20, 1 February 2011 (UTC)