Quadratic programming
Quadratic programming is an optimization problem where the objective function is quadratic and the constraint functions are linear. We can solve quadratic programs in R using the solve.QP() function part of the quadprog package. Quadratic programs are often expressed in the form of the following equation:
The preceding equation is subject to the following constraints:
However, the solve.QP() function requires that your quadratic program be written in the standard form:
The preceding equation is subject to the following constraint:
In the preceding constraint, T is the mathematical symbol for transpose (matrix A, but with its rows swapped for columns), 
is a vector of p unknowns, G is a positive definite symmetric 
matrix, d is a vector of length p, A is a 
matrix, and b is a vector with the length of the number of constraints c. For example, let's solve the following quadratic program:
The preceding equation is subject to the following constraints:
First, we install the...
