1. (a) Find an expression for the orthogonal projection of a point x = R onto the convex set B = {z € R¹ : 0 ≤ i ≤ 1 for each i = 1, ...,n}. You need to show your work, and justify your answer. Hint: It might be helpful to sketch B, when n = 2 (i.e., in 2 dimensions), and use the sketch to help you figure out what the projection should be.
1. (a) Find an expression for the orthogonal projection of a point x = R onto the convex set B = {z € R¹ : 0 ≤ i ≤ 1 for each i = 1, ...,n}. You need to show your work, and justify your answer. Hint: It might be helpful to sketch B, when n = 2 (i.e., in 2 dimensions), and use the sketch to help you figure out what the projection should be.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 41RE
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