Introduction I faced a mathematical problem for solving a root from a unimodal function like quadratic function. Of course we can solve the root if the function is mono decreasing or mono increasing in the target range. However if the function is in potentially there are 2 solutions or no solutions in the target range. I know this article is not perfect yet. I will keep improving this article :) Main Requirements There are mainly 2 requirements when solving the root. Minimize the function call as much as possible: because the function needs heavy calculation Robustness against oscillating: Maybe the below figure helps your understanding. If we solve the root strictly, there can be a lot of solutions in the range because of the small oscillating. However we should choose reasonable accrual solution from candidate points. Solution I have tried Newton method, but it didn’t work well because of the above bullet point 2. I have also tried fitting 3 dimensional function ...
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