Differentiable Functions

1. Ackley Function
   

   n-dimensional continuous multimodal non-convex differentiable

2. Ackley N. 2 Function
   

   2-dimensional non-separable unimodal convex differentiable

3. Ackley N. 3 Function
   

   2-dimensional non-separable multimodal non-convex differentiable

4. Ackley N. 4 Function
   

   n-dimensional non-separable multimodal non-convex differentiable

5. Adjiman Function
   

   2-dimensional non-separable multimodal non-convex differentiable

6. Alpine N. 1 Function
   

   n-dimensional non-separable multimodal non-convex differentiable

7. Alpine N. 2 Function
   

   n-dimensional non-separable multimodal non-convex differentiable

8. Beale Function
   

   2-dimensional continuous multimodal non-convex

9. Bird Function
   

   2-dimensional non-separable multimodal non-convex differentiable

10. Bohachevsky N. 1 Function
    

    2-dimensional continuous convex unimodal

11. Bohachevsky N. 2 Function
    

    2-dimensional non-separable multimodal non-convex differentiable

12. Booth Function
    

    2-dimensional continuous convex differentiable non-separable unimodal convex

13. Brent Function
    

    2-dimensional non-separable unimodal convex differentiable

14. Brown Function
    

    n-dimensional non-separable unimodal convex differentiable

15. Deckkers-Aarts Function
    

    2-dimensional continuous differentiable non-separable multimodal non-convex

16. Drop-Wave Function
    

    2-dimensional continuous unimodal non-convex

17. Easom Function
    

    2-dimensional continuous differentiable separable multimodal non-convex non-scalable

18. Egg Crate Function
    

    2-dimensional continuous differentiable separable multimodal non-convex

19. El-Attar-Vidyasagar-Dutta Function
    

    2-dimensional continuous multimodal non-convex differentiable

20. Exponential Function
    

    n-dimensional continuous differentiable non-separable unimodal convex

21. Forrester Function
    

    1-dimensional continuous multimodal non-convex

22. Goldstein-Price Function
    

    2-dimensional continuous differentiable non-separable multimodal non-convex non-scalable

23. Gramacy & Lee Function
    

    1-dimensional continuous multimodal non-convex

24. Griewank Function
    

    n-dimensional continuous unimodal non-convex non-separable

25. Happy Cat Function
    

    n-dimensional non-separable multimodal non-convex differentiable parametric

26. Himmelblau Function
    

    2-dimensional continuous multimodal non-convex

27. Keane Function
    

    2-dimensional continuous differentiable non-separable multimodal non-convex

28. Leon Function
    

    2-dimensional continuous differentiable non-separable unimodal non-convex

29. Levi N. 13 Function
    

    2-dimensional continuous differentiable non-separable multimodal non-convex

30. Matyas Function
    

    2-dimensional continuous differentiable non-separable unimodal convex

31. McCormick Function
    

    2-dimensional continuous differentiable multimodal non-scalable convex

32. Periodic Function
    

    n-dimensional continuous differentiable non-separable multimodal non-convex

33. Qing Function
    

    n-dimensional continuous differentiable non-separable multimodal non-convex

34. Quartic Function
    

    n-dimensional continuous differentiable separable multimodal random non-convex

35. Rastrigin Function
    

    n-dimensional continuous differentiable separable multimodal convex

36. Ridge Function
    

    n-dimensional non-separable unimodal non-convex differentiable

37. Rosenbrock Function
    

    n-dimensional continuous differentiable non-separable multimodal non-convex

38. Salomon Function
    

    n-dimensional continuous differentiable non-separable multimodal non-convex

39. Schaffer N. 1 Function
    

    2-dimensional continuous differentiable non-separable unimodal non-convex

40. Schaffer N. 2 Function
    

    2-dimensional continuous differentiable non-separable unimodal non-convex

41. Schaffer N. 3 Function
    

    2-dimensional continuous differentiable non-convex unimodal non-separable non-convex

42. Schaffer N. 4 Function
    

    2-dimensional continuous differentiable non-convex unimodal non-separable non-convex

43. Schwefel 2.23 Function
    

    n-dimensional continuous differentiable separable unimodal convex

44. Shubert 3 Function
    

    n-dimensional continuous differentiable separable multimodal non-convex

45. Shubert N. 4 Function
    

    n-dimensional continuous differentiable separable multimodal non-convex

46. Shubert Function
    

    n-dimensional continuous differentiable non-separable multimodal non-convex

47. Sphere Function
    

    n-dimensional continuous convex differentiable unimodal separable

48. Styblinski-Tank Function
    

    n-dimensional continuous multimodal non-convex

49. Sum Squares Function
    

    n-dimensional continuous differentiable separable unimodal convex

50. Three-Hump Camel Function
    

    2-dimensional continuous differentiable non-separable unimodal non-convex

51. Trid Function
    

    n-dimensional continuous differentiable separable unimodal convex

52. Wolfe Function
    

    3-dimensional continuous differentiable non-separable multimodal non-convex

53. Xin-She Yang N. 3 Function
    

    n-dimensional non-separable unimodal non-convex differentiable parametric

54. Zakharov Function
    

    continuous convex n-dimensional unimodal