something strange with test 2, my implementation fails on this test (because two iterations take me considerably closer to the minimum), perhaps this is something to do with the different forms of linesearch we are using?
Test case 2 is changed to account for your subsequent comment and to also to be far enough away from the solution so that it cannot converge in 2 iterations.
Test case 2 still have problems, I have implemented the Fletcher-Reeves Conjugate Gradient Method from 1964, and it got rejected at the 2nd test. I believe the problem is that you are requesting precision from the approximation of an approximation. And this can only be done when we are very close to the solution. Test 1 seems to have the right precision for 1 iteration.
Clockwise or Counterclockwise
Four quadrant inverse tangent function.
Reindex a vector
Gauss Eliminate 2-by-2 example
Free Fall analytical solution (Chapra 2012 textbook Example 1.1)
Rosenbrock's Banana Function and its derivatives
False position (linear interpolation) method of finding a root.
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