Convex Functions

1. Ackley Function
   

   n-dimensional continuous multimodal non-convex differentiable

2. Ackley N. 3 Function
   

   2-dimensional non-separable multimodal non-convex differentiable

3. Ackley N. 4 Function
   

   n-dimensional non-separable multimodal non-convex differentiable

4. Adjiman Function
   

   2-dimensional non-separable multimodal non-convex differentiable

5. Alpine N. 1 Function
   

   n-dimensional non-separable multimodal non-convex differentiable

6. Alpine N. 2 Function
   

   n-dimensional non-separable multimodal non-convex differentiable

7. Bartels Conn Function
   

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

8. Beale Function
   

   2-dimensional continuous multimodal non-convex

9. Bird Function
   

   2-dimensional non-separable multimodal non-convex differentiable

10. Bohachevsky N. 2 Function
    

    2-dimensional non-separable multimodal non-convex differentiable

11. Carrom Table Function
    

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

12. Cross-in-Tray Function
    

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

13. Deckkers-Aarts Function
    

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

14. Drop-Wave Function
    

    2-dimensional continuous unimodal non-convex

15. Easom Function
    

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

16. Egg Crate Function
    

    2-dimensional continuous differentiable separable multimodal non-convex

17. El-Attar-Vidyasagar-Dutta Function
    

    2-dimensional continuous multimodal non-convex differentiable

18. Forrester Function
    

    1-dimensional continuous multimodal non-convex

19. Goldstein-Price Function
    

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

20. Gramacy & Lee Function
    

    1-dimensional continuous multimodal non-convex

21. Griewank Function
    

    n-dimensional continuous unimodal non-convex non-separable

22. Happy Cat Function
    

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

23. Himmelblau Function
    

    2-dimensional continuous multimodal non-convex

24. Holder-Table Function
    

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

25. Keane Function
    

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

26. Leon Function
    

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

27. Levi N. 13 Function
    

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

28. Periodic Function
    

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

29. Qing Function
    

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

30. Quartic Function
    

    n-dimensional continuous differentiable separable multimodal random non-convex

31. Ridge Function
    

    n-dimensional non-separable unimodal non-convex differentiable

32. Rosenbrock Function
    

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

33. Salomon Function
    

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

34. Schaffer N. 1 Function
    

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

35. Schaffer N. 2 Function
    

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

36. Schaffer N. 3 Function
    

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

37. Schaffer N. 4 Function
    

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

38. Schwefel Function
    

    continuous multimodal non-convex non-differentiable non-separable

39. Shubert 3 Function
    

    n-dimensional continuous differentiable separable multimodal non-convex

40. Shubert N. 4 Function
    

    n-dimensional continuous differentiable separable multimodal non-convex

41. Shubert Function
    

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

42. Styblinski-Tank Function
    

    n-dimensional continuous multimodal non-convex

43. Three-Hump Camel Function
    

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

44. Wolfe Function
    

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

45. Xin-She Yang Function
    

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

46. Xin-She Yang N. 2 Function
    

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

47. Xin-She Yang N. 3 Function
    

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

48. Xin-She Yang N. 4 Function
    

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