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Notes: 1) LP has wide uses in planning, blending and scheduling. 2) Canned programs widely available. Special Cases of Nonlinear Programming Luenberger/ LINEAR AND NONLINEAR PROGRAMMING, 2nd Ed. We note that in a nondegenerate basic solution the basic variables, and hence the.Klamroth (2000) used in the parts about linear pro- gramming, “Linear and Nonlinear Programming” by S.G. Nash and A. Sofer. (1996) and “Numerical Optimization” Lecture Notes ; 2, Convex Unconstrained Optimization Optimality Conditions ; 3, Newton's Method (PDF) ; 4, Quadratic Forms (PDF) ; 5, Steepest Descent Method (PDF - Nonlinear optimisation. Dr.habil. Lecture Notes, University of Duisburg-Essen, [J] J. Jahn: Introduction to the Theory of Nonlinear Optimization. Part I. Nonlinear Programming. Lecture 1. Introduction. – About this course. – General formulation of the problem. – Important examples.