# Questions tagged [mathematical-optimization]

Questions on the optimization functions of Mathematica such as FindMinimum/FindMaximum, Minimize/Maximize, NMinimize/NMaximize, etc.

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### Express polynomials as sum of squares

Well, while SOStools of Matlab can express a polynomials as SOS (Sum Of Squares) by the following theorem: A multivariate polynomial p in n variables and of degree 2d is a sum of squares if and only ...
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### Optimization problem with parameter dependent interval of functions

I am working on an optimization problem but ran into a problem. Here is a simplified version of the problem: ...
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### Choice of initial values for FindMinimum

I have been using the FindMinimum function in Mathematica to implement nonlinear regression (for function $f(x,y)$, say). I am curious to find how the starting ...
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### Solution to a linear equation with minimum rank

Suppose I have a linear equation, $X.M=A$, for given matrices $M$ and $A$. I can use FindInstance to produce a solution $X$. How can I add the constraint that $X$ has the least rank? Indeed, I could ...