Quadratic eigenvalue problem

A quadratic eigenvalue problem is a type of problem that involves equations with a particular type of variable. This type of variable is called an eigenvalue and it represents the amount of change in a particular equation. To solve a quadratic eigenvalue problem, we need to figure out what number makes the equation true. We can do this by using an equation that looks like a big "U" and it is called a quadratic equation. Using this equation, we can figure out what number (the eigenvalue) makes the equation true. Knowing the eigenvalue lets us figure out how much something will change from one equation to the other.