1. For a n-vector x, with n = 2m 1 odd, we define the median of...
Question:
1. For a n-vector x, with n = 2m – 1 odd, we define the median of x as the scalar value xa such that exactly n of the values in x are ≤ xa and n are ≥ xa (i.e., xa leaves half of the values in x to its left, and half to its right). Now consider the function f : Rn → R, with values Express f as a scalar product, that is, find a ∈ Rn such that f(x) = aTx for every x. Find a basis for the set of points x such that f (x) = 0.
2. For a ∈ R2, we consider the “power law” function f : R2 ++ → R, with values f (x) = x1α1 x2a2. Justify the statement: “the coefficients αi provide the ratio between the relative error in f to a relative error in xi”.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Optimization Models
ISBN: 9781107050877
1st Edition
Authors: Giuseppe C. Calafiore, Laurent El Ghaoui
Question Posted: