You Are Right.Well,i decided to read the article and I could understand it.But I Have A question for newtons method.In the Wikipedia article it is written:-
Newton's method can often converge remarkably quickly, especially if the iteration begins "sufficiently near" the desired root. Just how near "sufficiently near" needs to be, and just how quickly "remarkably quickly" can be, depends on the problem. Unfortunately, when iteration begins far from the desired root, Newton's method can easily lead an unwary user astray with little warning. Thus, good implementations of the method embed it in a routine that also detects and perhaps overcomes possible convergence failures.
Are There Any Guidelines or something for "good implementation"?