Dennis, J.E. Jr.Turner, Kathryn2018-06-182018-06-181985-12Dennis, J.E. Jr. and Turner, Kathryn. "Generalized Conjugate Directions." (1985) <a href="https://hdl.handle.net/1911/101588">https://hdl.handle.net/1911/101588</a>.https://hdl.handle.net/1911/101588This paper presents a simple unifying framework for a wide class of conjugate directions algorithms whose iterates minimize some quadratic functional over a subspace. Our approach is motivated by its advantages for nonlinear minimization, but the purpose of this paper is to present the greatly simplified convergence analysis that results for the linear case.26 ppengTechnical reportTR85-11