Optimum of 3D function

Hi guys, I'm new in Mtalab, I have an interpolated figure (below) that I construct from a few data, my question is how to find the minimum of (Z axis) that gives a maximu (X axis)

[Alan Weiss]

Sorry, I do not understand your question. Are you looking for a way to minimize the Z data while simultaneously maximizing the X data? Is your data given as [X,Y,Z] triples? Or do you have an underlying function?

Generally speaking, you cannot simultaneously optimize two different things. The field of multiobjective optimization relates to this sort of question, but usually for functions rather than a collection of data points.

Alan Weiss

MATLAB mathematical toolbox documentation

[Soufiane Atouani]

Thank you for your response sir, I have a data as [X,Y,Z]. About the second proposition we can use interpolated fucntion from our data and apply the some multiobjective optimization theorems or not.

Regards