Hand written plz 3. Consider the optimization problemz* = min f(x) = x1 + x² + x²x₁ + x2 >1Formulate the Lagrange function and compute the dual function h(v) numeri-cally to locate its maximum v* with good accuracy so that x = r(v*) is primalfeasible. How big is the dual gap? Show h(v) in a figure.

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Answered: 3. Consider the optimization problem z*…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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3. Consider the optimization problem z* = min f(x) = x₁ + x² + x² x1 + x₂ 21 Formulate the Lagrange function and compute the dual function h(v) numeri- cally to locate its maximum v* with good accuracy so that x = x(v) is primal feasible. How big is the dual gap? Show h(v) in a figure.