muller's method can detect complex roots. It is a bracketing method.
horner's method is for evaluaton of files. poly.h and polydec.h are declartion files for polynomials in a single variable x. one ueses pointers and other ues arrays. u can use either in all programs using polynomials like horner.c.
Aitken's process uses Aitken's method to solve an equation using iteration for accelerating convergence.