Create a quadratic function

In this example we are going to create a quadratic function of the form

from __future__ import print_function
import openturns as ot
import openturns.viewer as viewer
from matplotlib import pylab as plt
import math as m
ot.Log.Show(ot.Log.NONE)

create a quadratic function

inputDimension = 3
outputDimension = 2
center = [1.0] * inputDimension
constant = [-1.0, 2.0] # c
linear = ot.Matrix(inputDimension, outputDimension) # A
quadratic = ot.SymmetricTensor(inputDimension, outputDimension) # M
quadratic[0,0,1] = 3.0
function = ot.QuadraticFunction(center, constant, linear, quadratic)
x = [7.0, 8.0, 9.0]
print(function(x))

Out:

[-1,56]

draw y1 with x1=2.0, x2=1.0, x0 in [0, 2]

graph = ot.ParametricFunction(function, [1, 2], [2.0, 1.0]).getMarginal(1).draw(0.0, 2.0)
view = viewer.View(graph)
plt.show()