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The interval Newton's method in conjunction with generalized bisection, as implemented in the public domain mftware program INTBIS by Kearfott and Novoa, is a method of miring single and simultaneous nonlinear equatiom. In this paper, this method is used m solve 15 test problems from different chemical engineering application areas, and an ill-scaled(More)
A new continuation method, which applies a new homotopy that is a combination of the fixed-point and Newton homotopies (FPN), is developed for seeking all real solutions to a nonlinear equation, written as f(x) = 0, without having to specify a bounded interval. First, the equation to be solved is multiplied by (x − x 0), where x 0 is the starting value,(More)
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