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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 ...

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

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

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

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

Week 7: Lecture 13A: Farkas' lemma.

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

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 ...

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

Week 7: Lecture 14A: Complementary Slackness.

Inferring inequalities using simple operations.

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

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

If you're fitting a curve or surface to data and want to ever use gradient-based optimizers or Newton solvers, make sure to do it in a ...

This is an audio version of the Wikipedia Article: https://en.wikipedia.org/wiki/Cutting-plane_method 00:03:16 1 Gomory's cut ...