Previous year question paper for NLP (MSC-Math 4th)

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Non-Linear Programming

Previous year question paper with solutions for Non-Linear Programming from 2016 to 2019

Our website provides solved previous year question paper for Non-Linear Programming from 2016 to 2019. Doing preparation from the previous year question paper helps you to get good marks in exams. From our NLP question paper bank, students can download solved previous year question paper. The solutions to these previous year question paper are very easy to understand.

UNIT-I

 Nonlinear Programming: Convex functions, Concave functions, Definitions and basic properties, subgradients of convex functions, Differentiable convex functions, Minima and Maxima of convex function and concave functions. Generalizations of convex functions and their basic properties. Unconstrained problems, Necessary and sufficient optimality criteria of first and second order. First order necessary and sufficient Fritz John conditions and Kuhn-Tucker conditions for Constrained programming problems with inequality constraints, with inequality and equality constraints. Kuhn Tucker conditions and linear programming problems.

UNIT-II

Duality in Nonlinear Programming, Weak Duality Theorem, Wolfe’s Duality Theorem, Hanson-Huard strict converse duality theorem, Dorn’s duality theorem, strict converse duality theorem, Dorn’s Converse duality theorem, Unbounded dual theorem, a theorem on no primal minimum. Duality in Quadratic Programming.

Quadratic Programming: Wolfe’s method, Beale’s method for Quadratic programming.Linear fractional programming, a method due to Charles and Cooper. Nonlinear fractional programming, Dinkelbach’s approach.

Game theory - Two-person, Zero-sum Games with mixed strategies, graphical solution, solution by Linear Programming. 

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