ghd australia Banach space, improved Newton method

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Banach space, improved Newton method and its convergence

-: ((X) = a '(xX4 (x) 4' (x)) I). . _(。): Y:: Lu (); while] Y-xll-> ~, doX: = y: rgi (); return (Y). When {j ~. then modified Newton Newton method is similar to conventional methods of force equation contains a Fangcheng Ping Ⅱ, unknown. 3, correctness of the algorithm and a gradual convergence of the given initial point 'a',, ..., ∞]. we establish the following iterative sequence:-g (') (3.1) where g by the g ()-()(,(()) a F () is given. Here we consider the gradual convergence of the algorithm . Theorem 1 If g () has a fixed point a,[link widoczny dla zalogowanych],. () has continuous first order partial derivatives to meet the ≤, IX 0 set up. If there is - 0,[link widoczny dla zalogowanych], (i, j = a * successful neighborhood overlooking the existence of the solution. from the Taylor Theorem: & ∽ A Lu) = a x a wife Gui-hi) in the iterative process, there is' a aIL anal Where M meet: n1t. 1l,[link widoczny dla zalogowanych], / 2M 'so the improved Newton iteration method is quadratic convergence. Banach space,[link widoczny dla zalogowanych], facilitate the processing of the improved Newton method for multiple variables with the (non) linear algebraic equations, as opposed to the conventional Newton law is concerned, have a broader application. Solving process and its machinery for us to achieve. Due to space limitations, this paper does not repeat them here.

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