Re: nonlinear systems

zagatov wrote:
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

It is so "roughly depicted " as to be meaningless


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.

There seems nothing "statistical" here. You seem to have one variable for each equation, so notionally you can just solve each equation separately (provided it has at least one root).

If you need help, I suggest you set out your problem far better than you have managed above.

David Jones
.

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