Orthogonalize (Built-in Mathematica Symbol)

Orthogonalize[{v_1, v_2, ...}] gives an orthonormal basis found by orthogonalizing the vectors v_i.Orthogonalize[{e_1, e_2, ...}, f] gives a basis for the e_i orthonormal ...

Array (Built-in Mathematica Symbol)

Array[f, n] generates a list of length n, with elements f[i]. Array[f, {n_1, n_2, ...}] generates an n_1*n_2*... array of nested lists, with elements f[i_1, i_2, ...]. ...

DiskMatrix (Built-in Mathematica Symbol)

DiskMatrix[r] gives a matrix whose elements are 1 in a disk-shaped region of radius r, and are otherwise 0.DiskMatrix[r, w] gives a w*w matrix containing a disk of 1s with ...

ArrayPlot (Built-in Mathematica Symbol)

ArrayPlot[array] generates a plot in which the values in an array are shown in a discrete array of squares.

ArrayRules (Built-in Mathematica Symbol)

ArrayRules[SparseArray[...]] gives the rules {pos_1 -> val_1, pos_2 -> val_2, ...} specifying elements in a sparse array. ArrayRules[list] gives rules for SparseArray[list].

ControllableModelQ (Built-in Mathematica Symbol)

ControllableModelQ[ss] yields True if the StateSpaceModel object ss is controllable, and False otherwise.

ObservableModelQ (Built-in Mathematica Symbol)

ObservableModelQ[ss] gives True if the StateSpaceModel object ss is observable, and False otherwise.

StateSpaceTransform (Built-in Mathematica Symbol)

StateSpaceTransform[ss, s_1] transforms the StateSpaceModel object ss using the similarity matrix s_1.StateSpaceTransform[ss, {s_1, s_2}] computes the transformation using ...

GraphDistanceMatrix (Built-in Mathematica Symbol)

GraphDistanceMatrix[g] gives the matrix of distances between vertices for the graph g.GraphDistanceMatrix[g, d] gives the matrix of distances between vertices of maximal ...

Sparse Arrays: Linear Algebra (Mathematica Tutorial)

Many large-scale applications of linear algebra involve matrices that have many elements, but comparatively few that are nonzero. You can represent such sparse matrices ...