EquivalenceClasses[r] identifies the equivalence classes among the elements of matrix r.

ReflexiveQ[g] yields True if the adjacency matrix of g represents a reflexive binary relation.

Inner[f, list_1, list_2, g] is a generalization of Dot in which f plays the role of multiplication and g of addition.

Projection[u, v] finds the projection of the vector u onto the vector v.Projection[u, v, f] finds projections with respect to the inner product function f.

Mathematica's built-in SparseArray function should be used to create tridiagonal matrices. Mathematica kernel's built-in sparse solver LinearSolve has replaced ...

Tensors are mathematical objects that give generalizations of vectors and matrices. In Mathematica, a tensor is represented as a set of lists, nested to a certain number of ...

$RelaxedTypeChecking is a flag that can be set to True to speed up the validation performed in Mathematica (via pattern tests) on arrays of data being sent as arguments to ...

LQRegulatorGains[ss, {q, r}] gives the optimal state feedback gain matrix for the StateSpaceModel object ss and the quadratic cost function with state and control weighting ...

JordanModelDecomposition[ss] yields the Jordan decomposition of a StateSpaceModel object ss. The result is a list {s, jc} where s is a similarity matrix and jc is the Jordan ...

AntiSymmetricQ[g] yields True if the adjacency matrix of g represents an anti-symmetric binary relation.