A function which has more than one variable is called a Multivariate function. In mathematical modelling, it is required many times to find the minimum or maximum of such functions.
In literature, there are two main methods namely:
1. Root finding methods
2. Search methods
Search methods are widely used in determining the extremum point of a multivariate function.
They are basically of three types:
a. Univariate search
b. Gradient search
c. Conjugate search
To understand the above search methods through examples, do watch this video which solves a multivariate function and compare the the quality of solutions in all the three cases.
https://www.youtube.com/watch?v=Y7LRxhkIekY&t=520s
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