- #1
Office_Shredder
Staff Emeritus
Science Advisor
Gold Member
- 4,174
- 333
I'm having a bit of a brain fart here. Given a positive definite quadratic form
[tex] \sum \alpha_{i,j} x_i x_j [/tex]
is it possible to re-write this as
[tex] \sum k_i x_i^2 + \left( \sum \beta_i x_i \right)^2[/tex]
with all the ki positive? I feel like the answer should be obvious
[tex] \sum \alpha_{i,j} x_i x_j [/tex]
is it possible to re-write this as
[tex] \sum k_i x_i^2 + \left( \sum \beta_i x_i \right)^2[/tex]
with all the ki positive? I feel like the answer should be obvious