Multi-dimensional maximization method

AI Thread Summary
The discussion focuses on solving an expanded lifting-line problem to determine the maximum Oswald efficiency factor from a dataset of efficiency factors related to taper and twist combinations. The user is seeking a method to interpolate the data in two dimensions, as the maximum value and its location are unknown, and the curve fits are non-linear. A suggestion is made to utilize MATLAB functions that can interpolate the data onto a finer grid, allowing for easier identification of the maximum efficiency factor. This approach would generate an array of values from which the maximum can be extracted. The conversation emphasizes the need for a straightforward solution to this complex problem.
Ignea_unda
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I'm currently working on an expanded lifting-line problem. I've got plenty of data, but I need to find the maximum oswald efficiency factor. I've got a table of data of efficiency factors for taper and twist combinations and I need to interpolate to find the maximum in 2 directions. I don't know what the maximum is, nor do I know its location. The curve fits to the data I are not linear. Can anyone suggest a scheme? Bonus points for one that is simple (I'll give you extra special thank you or something like that on here!)
 
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There are functions in MATLAB that allow you to interpolate you data onto an arbitrarily small grid. If you did this with your data you would then have an array of values for the efficiency factor and then you could just pick off the max.
 

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