2.2.5 Polynomials
A polynomial from 
to is linear if it has form
[2.8]
with a and b scalars. It is quadratic if it has form:
[2.9]
with a, b and c scalars. These notions generalize to higher dimensions. A polynomial from n to is linear if it has form
[2.10]
with b an n-dimensional row vector and a a scalar. It is quadratic if it has form
[2.11]
with c an n×n matrix, b an n-dimensional row vector and a a scalar. Without loss of generality, we always assume c is symmetric. For example, the quadratic polynomial
[2.12]
can be expressed in form [2.11] with
[2.13]
[2.14]
[2.15]
