- #1
Sorento7
- 16
- 0
I've encountered a function like this:
S(x) = [M(x) - F(x)] ^2 + || G(x) || ^ 2X being a 3*1 vector
M and F: vector----->scalar
G: vector------->vector and || G || meaning its norm
To change S(x) into a single square, authors have described it like this:
S(x) = || A + B || ^ 2 where A=(M(x) - F(x) , 0) and B=(0 , G(x))
I don't understand how two vectors could be added actually resulting a vector with the first eigenvalue being scalar and the second eigenvalue a 3*1 vector itself?
i.e. what is the "nature" of A + B? a vector?
S(x) = [M(x) - F(x)] ^2 + || G(x) || ^ 2X being a 3*1 vector
M and F: vector----->scalar
G: vector------->vector and || G || meaning its norm
To change S(x) into a single square, authors have described it like this:
S(x) = || A + B || ^ 2 where A=(M(x) - F(x) , 0) and B=(0 , G(x))
I don't understand how two vectors could be added actually resulting a vector with the first eigenvalue being scalar and the second eigenvalue a 3*1 vector itself?
i.e. what is the "nature" of A + B? a vector?