MPS mathematical file format. De facto standard for specifying linear programming (LP) problems. Commonly used as input format by LP solvers. MPS is an acronym for ...

NormFunction is an option for functions such as FindFit and NDSolve which gives a function to be minimized in generating results.

FindMinimum[f, x] searches for a local minimum in f, starting from an automatically selected point.FindMinimum[f, {x, x_0}] searches for a local minimum in f, starting from ...

LinearProgramming[c, m, b] finds a vector x that minimizes the quantity c.x subject to the constraints m.x >= b and x >= 0. LinearProgramming[c, m, {{b_1, s_1}, {b_2, s_2}, ...

Introduction Linear Optimization Numerical Nonlinear Local Optimization

Minimize[f, x] minimizes f with respect to x.Minimize[f, {x, y, ...}] minimizes f with respect to x, y, .... Minimize[{f, cons}, {x, y, ...}] minimizes f subject to the ...

In doing numerical operations like NDSolve and NMinimize, Mathematica by default uses machine numbers. But by setting the option WorkingPrecision->n you can tell it to use ...

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient search methods use ...

LeastSquares[m, b] finds an x that solves the linear least-squares problem for the matrix equation m.x == b.

x >= y or x >= y yields True if x is determined to be greater than or equal to y. x_1 >= x_2 >= x_3 yields True if the x_i form a non-increasing sequence.