The problem of finding a solution to the equation P(x)=0 where P is a nonlinear function, P. Rn —1 → Rn, is a problem that is difficult to surmount and at the very least involves a complicated process. Attack upon the prob¬lem has a long history and a good amount of the work that has been done is connected with the process associated with Newton. Another type of approach is categorized as minimi¬zation methods. This study takes a fairly comprehensive look at the historical development of solution techniques in order to gain some valuable insight.nThe projection method is a minimization method which has been available to the linear problem for some time. It, how¬ever, has only recently been adapted to nonlinear problems.
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