It is well known that a damped or underrelaxed Newton's method will sometimes solve a system of nonlinear equations when the full Newton's method cannot. This happens, for example, when only a poor ...

SIAM Journal on Numerical Analysis, Vol. 12, No. 4 (Sep., 1975), pp. 617-629 (13 pages) The method of conjugate gradients for solving systems of linear equations with a symmetric positive definite ...