Numerical Solution of Partial ... (Mathematica Tutorial)

The numerical method of lines is a technique for solving partial differential equations by discretizing in all but one dimension, and then integrating the semi-discrete ...

Algebraic Number Fields (Mathematica Tutorial)

Mathematica provides representation of algebraic numbers as Root objects. A Root object contains the minimal polynomial of the algebraic number and the root number—an integer ...

Test Problems (Mathematica Tutorial)

All the test problems presented in [MGH81] have been coded into Mathematica in the Optimization`UnconstrainedProblems` package. A data structure is used so that the problems ...

MinCut (Graph Utilities Package Symbol)

MinCut[g, k] partitions the undirected graph g into k parts where the number of edge cuts is approximately minimized.

Norm (Built-in Mathematica Symbol)

Norm[expr] gives the norm of a number, vector or matrix. Norm[expr, p] gives the p-norm.

QRDecomposition (Built-in Mathematica Symbol)

QRDecomposition[m] yields the QR decomposition for a numerical matrix m. The result is a list {q, r}, where q is an orthogonal matrix and r is an upper-triangular matrix.

Cycles and Connectivity (Combinatorica Package Guide)

SimplexMedian (Multivariate Statistics Package Symbol)

SimplexMedian[matrix] gives a simplex median of the elements in matrix.

SpatialMedian (Multivariate Statistics Package Symbol)

SpatialMedian[matrix] gives the spatial median of the elements in matrix.

ArgMax (Built-in Mathematica Symbol)

ArgMax[f, x] gives a position x_max at which f is maximized.ArgMax[f, {x, y, ...}] gives a position {x_max, y_max, ...} at which f is maximized.ArgMax[{f, cons}, {x, y, ...}] ...