# Homework Help: Weird Sum of Squares as a Vector Norm and Gauss-Newton optimization

1. Apr 18, 2012

### Sorento7

1. The problem statement, all variables and given/known data

A($\vec{x}$) = (F + T * x )2

F is a constant,
x is a 2×1 vector
T is a (constant) 1×2 matrix

B($\vec{x}$) = || K.Z.x ||2 k:3$\times$3 matrix and Z:3$\times$2, x the same as above

B(x) is also R2→R

C(x) = A(x) + B(x)

2. Relevant equations

1- I am confused how can (A + B) be represented as a (vector) norm like this:

C(x) = || (F , 0) + (T , K).Z.x ||2

, i.e., what would be the dimensionality and meaning of the matrix (T , K) ? (discrepancy between the first 1 $\times$ 2 entry and second 3 $\times$ 3?)

3. The attempt at a solution

Last edited: Apr 18, 2012
2. Apr 20, 2012

No solution?