Could f be convex concave, quasiconvex, quasiconcave? EEa Homework 1 solutions Documents. Homework 2 Solutions – 2 Solutions Author: We show that the function is quasiconcave. Repeatfor the level curves shown below. It is not quasiconcave or concave.

EEa Homework 6 additional problems. Solutions for Homework Assignment 2 Documents. When is the epigraph of a function a polyhedron? There-fore 1 0f sx ds is a convex function of x. EEa, Winter Prof. It is quasiconvex and quasiconcave i.

EE364: Convex Optimization with Engineering Applications

Concavity of u means that the marginal utility i. Show that the following problem is quasiconvex: EEa Homework 1 solutions Documents. Aug 28, Homework solutions Sep 4, Homework solutions 1. Show that its running average Fdefined as.

Since the function takes values on a finite set, it is not continuous and thereforeneither convex nor concave. We plot the function values along thedashed line labeled I. EEa Homework 3 solutions. We first verify the domain of f. Page 6 EEa, Winter Boyd EEa Homework 8 solutions 8. In addition it is not quasiconvex in general.

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Boyd EEa Homework 1 solutions 2. See also figure 3. The first function could be quasiconvex because the sublevel sets appear tobe convex. The minimum fuel optimal control problem is equivalent to the LP.

Convex optimization solutions manual boyd. It cannot be convex or quasiconvex, becausethe sublevel sets are not convex. Homework 2 Solutions – UMD? This iseasily verified by working out the Hessian: Homework 2 Solutions – 2 Solutions Author: Published on Apr View Download 4. Clearly along this line segment, the function is not convex.

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Homework 2 solutions 2. Therefore, f is not convex orconcave. This iseasily verified by working out the Hessian:.

ee364a homework 2 solutions

Therefore, f isneither convex nor concave. EEa, Winter Prof. The feasible set is shown in the figure.

ee364a homework 2 solutions

A convex ora concave function is always continuous on the relative interior of its domain. Show that the following problem is quasiconvex:. It is not quasiconvex. EEa Homework 5 Read more about boolean, optimal, minimize, relaxation, dual and asset. Therefore, f is convex and quasiconvex. When is the epigraph of a function a halfspace?

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When is the epigraph of a function a polyhedron?