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Tagged with gaussian-elimination linear-programming
5 questions
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Find rows of a matrix that are linearly dependent to some other rows
To avoid this being an XY problem, this is my background:
I was reading theorem 2.2.2 of section 2.2.2 of this paper, which is about finding a relative interior point of a system $Ax \leq b$ ...
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How does row operation work in the simplex algorithm?
Reading through the wikipedia page for the simplex algorithm and I can't figure out how the row operation they have as an example works...
$$
\text{Minimize} \\
Z = -2x - 3y - 4z \\
\text{Subject To} ...
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Simplex decision about row operation
My question is very general, but i would be putting a very especific problem just to clarify and avoid doubts.
Suppose i'm using the simplex method to solve the following problem:
Maximize: $20 x_{1}...
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How to check if any solution exists for a set of linear equations with non negative variables
Given a set of m equations with n variables x1, x2, … xn and there are more variables than equations (ie n > m and underdetemined)
I am looking for an algorithm (which I will be coding into C#), to ...
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Removing redundant linear constraints using Gaussian elimination
I have a set of linear constraints in the form of $c_i x \ge d_i$ and I need to identify if an additional constraint is redundant with respect of the previously mentioned set.
Here I found a similar ...