New answers tagged mathematical-optimization
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Approximate strictly positive solution to a linear set of equations?
THIS IS AN EXTENDED COMMENT RATHER THAN AN ANSWER.
It is inefficient to use Table to generate random numbers.
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Nonnegative Least Squares Algorithm (NNLS)
We can compare 6 algorithms based on FindMinimum,NMinimize, ConvexOptimization, ...
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Solution to a linear equation with minimum rank
Your transposed equation looks like Transpose[M].Transpose[X]==Transpose[A]
LeastSquares finds the minimal solution
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Optimize cost when ordering wood boards (cutting stock problem)
(Solution to original problem further below)
MarcoB indicated useful keywords in his comment, in particular this problem is a subclass of the cutting stock problem.
For the reference, two links that I ...
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Find the maximum of a given function
First numerical analysis give a strong hint, that maximum does not depend on m. Test it with different k and m. Leave it to you to proof it exactly.
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How to take the derivative with respect to a function with more than one variable?
I understand that you want to calculate dp/dq. That is the ratio of the change of p to the change of q if x is changed an infinite small amount.
To make it simpler I insert the constants and define:
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How to get a rational solution of the linear system efficiently?
Get the same result about four times faster with NMinimize and rationalization. (Using the format for variables, @BobHanlon proposed.)
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