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Recall that the dual problem of this minimization problem is defined to be this linear programming problem here. There are a ...

And we let (P) denote this linear programming problem. Then the dual problem of (P) is the following linear programming problem.

Here are two examples of linear programming problems. This one here is a minimization problem and this one here is a ...

Multiobjective optimization is somewhat of a misnomer -- you actually have to have predefined weightings for each of the ...

The fundamental theorem of linear programming states the following: for any given linear programming problem, exactly one of ...

You might have observed that when you solve a linear programming problem, you often end up with an optimal solution there is ...

Week 5: Lecture 10A: Extreme points and optimal solution of an LP.

One of the most important steps in optimization is formulating well-posed and meaningful problems that you can interpret ...

In OpenMDAO terms, your nonlinear system is your model or governing system of equations. Your linear system is a ...

Recall the following result from linear algebra: a system of linear equations Ax = b is inconsistent (that is, has no solution) if and ...

Inferring inequalities using simple operations.

Notice that x* satisfies this system of linear equations. But since the rank of this matrix is n, that means x* is the only solution to the ...

Week 7: Lecture 13A: Farkas' lemma.

05b: Solving a Linear Algebra Problem In MATLAB 05a-05b comprise a two-part demo on Linear Algebra. 05a: Converts a set of ...

Some insights I have on P=?NP and the logic satisfiability problem, with an emphasis on AI.

Contemporary Algebra Collection Topic: Linear Regression Models, Video 2 of 7 Video Title: Building Linear Models, Part 1 ...

Under the hood is a big bad ol' Mixed-Integer Linear Program (MILP) and the awesome HiGHS linear solver, and this series is ...

Week 7: Lecture 14A: Complementary Slackness.