1.Lagrange‘s method of multipliers
2 quadratic programming
3.equality constraints
Syllabus
Fourier series and linear programming (MA3301)
Unit 1 (Fourier series)
Dirichelet's condition -General Fourier series -odd and even function -Half range sine series and cosine series -Root mean square value - parserval's identity - Harmonic analysis
Unit 2 ( Fourier transforms)
Statement of Fourier integral theorem - Fourier Transforms pair - Fourier sine and cosine transforms - properties - Transforms of simple function - convolution theorem - Parserval's identity
Unit 3 ( Linear programming problems)
Mathematical formulation - graphical method - simplex method - artificial variables techniques - Big M method - Two phase simple method - duality -dual simplex method
Unit-4 (Transportation and Assignment Problems)
Matrix from loops in T.P - Initial basic feasible solutions - Transportation Algorithm - Degeneracy in Transportation - Assignment and Rooting Problems.
Unit-5(Non- linear programming problems)
Lagrange multipliers - Equality constraints - Inequality constraints - Khun Tucker conditions - Quadratic programming.