Newton's method is actually a special case of what is generally known as a fixed point method. These methods rely on the Fixed point Theorem: ...

SIAM Journal on Numerical Analysis, Vol. 29, No. 5 (Oct., 1992), pp. 1413-1434 (22 pages) This article studies iterative methods defined by xk + 1 = Φ (xk, Ek), where xk ∈ Rn and Ek lie on a space of ...