FindArgMin

FindArgMin[f,x] gives the position xmin of a local minimum of f.

• FindArgMin[f,{x,x0}] gives the position xmin of a local minimum of f, found by a search starting from the point x=x0.
• FindArgMin[f,{{x,x0},{y,y0},…}] gives the position {xmin,ymin,…} of a local minimum of a function of several variables.
• FindArgMin[{f,cons},{{x,x0},{y,y0},…}] gives the position of a local minimum subject to the constraints cons.
• FindArgMin[{f,cons},{x,y,…}] starts from a point within the region defined by the constraints.

Examples

(* Find the position of minimum *)
FindArgMin[x^2 + 2x + 1, x]

(* Start from a specific point *)
FindArgMin[x^4 - 3x^2 + x, {x, 0}]

(* Multivariate function *)
FindArgMin[(x - 1)^2 + (y - 2)^2, {{x, 0}, {y, 0}}]

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