I've encountered a function like this:(adsbygoogle = window.adsbygoogle || []).push({});

S(x) = [M(x) - F(x)] ^2 + || G(x) || ^ 2

X 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?

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# Wierd sum of squares compilation to a single vector norm

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