- #1

- 5

- 0

You should upgrade or use an alternative browser.

- A
- Thread starter elere
- Start date

- #1

- 5

- 0

- #2

mfb

Mentor

- 35,918

- 12,744

- #3

- 5

- 0

my fault, the 6 variables along with two others that i've managed to simplify in the expressions verifies a orthonormalization conditition :The functions are clearly maximized if all variables become 1..

a^2+b^2+c^2+d^2=1 and aA+bB+cC+dD=0 . and here are the ramaining constraints : Ac+Bd=Ab+Cd=0 and ac+AC+bd+BD=ab+AB+cd+CD=0. the set that i want to proof it's optimality and which verify the above conditions is {a=1,b=c=d=0, A=D=0}.

- #4

mfb

Mentor

- 35,918

- 12,744

From looking at it: a=

There are 6 constraints on 8 variables, unless you need a mathematical proof most algorithms should quickly find all local maxima.

- #5

- 5

- 0

- #6

mfb

Mentor

- 35,918

- 12,744

Where does that come from now?A^2+B^2=1 (first constraint)

- #7

- #8

mfb

Mentor

- 35,918

- 12,744

- #9

- 5

- 0

Share: