On the Fundamental Role of Interior - PointMethodology
نویسنده
چکیده
Recently primal-dual interior-point methodology has proven to be an eeective tool in linear programming applications and is now being extended, with great enthusiasm to general nonlinear programming applications. The primary purpose of this current study is to develop and promote the belief that since Newton's method is a tool for square nonlinear systems of equations, the fundamental role of interior-point methodology in inequality constrained optimization is to produce, in a meaningful and eeective manner, a square system of nonlinear equations that represents the inequality constrained optimization problem suuciently well that the application of Newton's method methodology to this square system is eeective and successful.
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