GIGAZINE

The algorithm 'Newton's method', which was invented by physicist Newton 300 years ago and is still in use today, is updated

Newton method, invented by physicist Isaac Newton about 300 years ago, is an algorithm that still plays an important role in a wide range of fields, including logistics, financial engineering, ...
JSTOR Daily

Conditioning of Quasi-Newton Methods for Function Minimization

Mathematics of Computation, Vol. 24, No. 111 (Jul., 1970), pp. 647-656 (10 pages) Quasi-Newton methods accelerate the steepest-descent technique for function minimization by using computational ...
Simon Fraser University

Newton's Method:

Newton's Method is a technique for approximating a root to an equation of the form \(f(x)=0\). What is required is an initial estimate for the root, called \(x_1 ...
JSTOR Daily

Fixed-Point Quasi-Newton Methods

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 ...