quad- module for representing quadratic functions

The quad module provides methods for representing and evaluating functions of the form

\[f(x)=x^{T}Ax+b^{T}x\]

where \(A \in \mathbb{R}^{n \times n}\) and \(b,x \in \mathbb{R}^{n}\).

class quad.Function

Bases: pybind11_object

“Class for representing a function of the form

\[f(x)=x^{T}Ax+b^{T}x\]

Parameters:

• matrix (NDArray) – Matrix \(A\) (dtype: float64)

• vector (NDArray) – Vector \(b\) (dtype: float64)

eval()

Evaluates the quadratic function at the given point.

Parameters:

x (NDArray) – Point at which to evaluate the function (dtype: float64)

grad()

Evaluates the gradient of the quadratic function at the given point.

Parameters:

x (NDArray) – Point at which to evaluate the gradient of the function (dtype: float64)

property matrix

Matrix \(A\)

property vector

Vector \(b\)