PermutationGroup[{perm_1, ..., perm_n}] represents the group generated by multiplication of the permutations perm_1, ..., perm_n.

The Graph Utilities Package contains a number of functions useful for graph theory applications. Functions in the Graph Utilities Package. This loads the package.

When derivatives cannot be computed symbolically, "Newton's" method will be used, but with a finite difference approximation to the Jacobian. This can have costs in terms of ...

The functions FindMinimum, FindMaximum, and FindRoot have the HoldAll attribute and so have special semantics for evaluation of their arguments. First, the variables are ...

ClusteringComponents[array] gives an array in which each element of array is replaced by an integer index representing the cluster in which the element ...

PolynomialRemainder[p, q, x] gives the remainder from dividing p by q, treated as polynomials in x.

The Mathematica functions Reduce, Resolve, and FindInstance allow you to solve a wide variety of problems that can be expressed in terms of equations and inequalities. The ...

The basis for a nonlinear conjugate gradient method is to effectively apply the linear conjugate gradient method, where the residual is replaced by the gradient. A model ...

FindShortestTour[{e_1, e_2, ...}] attempts to find an ordering of the e_i that minimizes the total distance on a tour that visits all the e_i once.

There are many variants of quasi-Newton methods. In all of them, the idea is to base the matrix B_k in the quadratic model on an approximation of the Hessian matrix built up ...