%0 Journal Article %T METHOD OF MULTIPLE STEEPEST DESCENT
多步最速下降法 %A 杨振海 %A 刘德辅 %J 计算数学 %D 1980 %I %X In this paper we propose the method of multiple steepest descent. It is quad-ratic convergence. If the object function is f(x) =1/2 x~TAx - x~Tb,where A is an n×n symmetric positive definite matric with k different eigenvalues then afterk-time line or search the minimum point of f will be found. In this case we also note thatthis method is equivalent to the method of partial conjugate gradients. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=444A8FD3A9C511D5&yid=E56875464B1C0EC1&vid=0B39A22176CE99FB&iid=0B39A22176CE99FB&sid=798FBE8DE1A255B1&eid=847B14427F4BF76A&journal_id=0254-7791&journal_name=计算数学&referenced_num=1&reference_num=0