i have an equation system which is
f (x1,x2)=(x1-c)^2 + (x2-c)^2 - c
f (x1,x3)=(x1-c)^2 + (x2-c)^2 - c
f (x1,x4)=(x2-c)^2 + (x2-c)^2 - c
f (x1,x5)=(x2-c)^2 + (x2-c)^2 - c
,
,
can go on
it is roughly depicted but i can say that generally
c's are different constants and i have 2 variable and more than 2
or
3 equations.
Aim is to find minimal amount of residual for all f functions.
i tried to use some gradient methods but numbers of variables must be
equal to
numbers of equations. than i stucked. i want to use steepest descent
or newtonian methods.
How can i prove this?
help me it is so crucial
please at least tell me what to read about or point me where the
solution is.
