Interactive Multi-Dimensional Optimization algebraic example using 3 Independent Variables, with Constraints




Select a Test Function and Choose the Bounds of the Domain and an Initial Guess Vector.

Input Data

Objective Function
Objective Function:
Expression:
(x0+z0)**2 + (x1+z1)**2 + (x2+z2)**2 + Zf

Search Domain of Objective Function
Lower Bound Upper Bound
x0:
x1:
x2:

Fixed Variables
z0: x0 shift
z1: x1 shift
z2: x2 shift
Zf: Vertical shift


Constriant(s) Definition
Constraint Function:
Expression:
A*(x0+z0) + B*(x1+z1) + 0*(x2) - Zc
Equality Condition: Parametric Form
A:
B:
Zc Constraint Reference
Use Second Constraint?
Second Constraint:
Expression:
A*(x0+z0) + B*(x1+z1) + 0*(x2) - Zc
Equality Condition: Parametric Form
A
B
Zc Constraint Reference



Select Plot Dimensions
(2D Slice @ ArgMin)
x0
x1
x2

Calculated ArgMin Values
x0:
x1:
x2:
f(X):



**** PLOT ****



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