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Introduction to Linear Optimization and Extensions with MATLAB®
book

Introduction to Linear Optimization and Extensions with MATLAB®

by Roy H. Kwon
September 2013
Intermediate to advanced content levelIntermediate to advanced
362 pages
8h 44m
English
CRC Press
Content preview from Introduction to Linear Optimization and Extensions with MATLAB®
48 Introduction to Linear Optimization and Extensions with MATLAB
R
FIGURE 2.5
a and a are perpendicular to H.
FIGURE 2.6
Convexity of x
2
0.
© 2014 by Taylor & Francis Group, LLC
Geometry of Linear Programming 49
FIGURE 2.7
Convexity and non-convexity.
2.2.1 Geometry of Optimal Solutions
In this section we develop a geometric characterization of optimal solutions for
linear programs based on insights from low dimensional problems. Consider
the linear program (2.1). The objective function is x
1
2x
2
= c
T
x. Consider
contours of the objective function H =
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Publisher Resources

ISBN: 9781439862636