(true or false)Indicate for each of the following three statements whether it is true or false. Motivateyour answers!a) Consider a primal-dual pair of linear programs.Claim: If the dual problem is infeasible then the primal problem is unbounded.b) Consider the problem to minxeR» ƒ(x) where f : R" → R is a twice differentiablefunction (i.e., ƒ e C²).Claim: If Vf(x*)= 0 and V²f(x*) ► 0 then æ* is a local minimum of f.%3Dc) Consider the Frank-Wolfe method used for minimizing a non-linear function overa polyhedron.Claim: In each iteration of the algorithm a linear program needs to be solved inorder to find the search direction.

(a) For each direct programming issue we have a "dual" straight programming issue. Though in the…

(true or false) Indicate for cach of the following three statements whether it is true or false. Motivate your answers! a) Consider a primal-dual pair of linear programs. Claim: If the dual problem is infeasible then the primal problem is unbounded. b) Consider the problem to mingER» f(x) where f : R" → R is a twice differentiable function (i.e., f e C²). Claim: If Vf(x') = 0 and V²ƒ(x') ► 0 then a is a local minimum of f. c) Consider the Frank-Wolfe method used for minimizing a non-linear function over a polyhedron. Claim: In each iteration of the algorithm a linear program needs to be solved in order to find the search direction.

(true or false) Indicate for cach of the following three statements whether it is true or false. Motivate your answers! a) Consider a primal-dual pair of linear programs. Claim: If the dual problem is infeasible then the primal problem is unbounded. b) Consider the problem to mingER» f(x) where f : R" → R is a twice differentiable function (i.e., f e C²). Claim: If Vf(x') = 0 and V²ƒ(x') ► 0 then a is a local minimum of f. c) Consider the Frank-Wolfe method used for minimizing a non-linear function over a polyhedron. Claim: In each iteration of the algorithm a linear program needs to be solved in order to find the search direction.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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