Norm (Built-in Mathematica Symbol)

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

SparseArray (Built-in Mathematica Symbol)

SparseArray[{pos_1 -> val_1, pos_2 -> val_2, ...}] yields a sparse array in which values val_i appear at positions pos_i. SparseArray[{pos_1, pos_2, ...} -> {val_1, val_2, ...

MinimumBandwidthOrdering (Graph Utilities Package Symbol)

MinimumBandwidthOrdering[g] attempts to find a vertex ordering that minimizes the bandwidth of the undirected graph g.MinimumBandwidthOrdering[m] attempts to find row and ...

ControllableDecomposition (Built-in Mathematica Symbol)

ControllableDecomposition[ss] yields the controllable decomposition of the StateSpaceModel object ss. The result is a list {s_c, ss_c} where s_c is the transformation matrix ...

ObservableDecomposition (Built-in Mathematica Symbol)

ObservableDecomposition[ss] yields the observable decomposition of the StateSpaceModel object ss. The result is a list {s_o, ss_o} where s_o is the transformation matrix and ...

Sparse Arrays: Manipulating Lists (Mathematica Tutorial)

Lists are normally specified in Mathematica just by giving explicit lists of their elements. But particularly in working with large arrays, it is often useful instead to be ...

LiftingFilterData (Built-in Mathematica Symbol)

LiftingFilterData[...] represents lifting-filter data used to compute forward and inverse lifting wavelet transforms.

List (Built-in Mathematica Symbol)

{e_1, e_2, ...} is a list of elements.

WaveletMatrixPlot (Built-in Mathematica Symbol)

WaveletMatrixPlot[dwd] plots the basis tree of wavelet matrix coefficients in the DiscreteWaveletData dwd.WaveletMatrixPlot[dwd, r] plots coefficients up to refinement level ...

Solving Linear Systems (Mathematica Tutorial)

Many calculations involve solving systems of linear equations. In many cases, you will find it convenient to write down the equations explicitly, and then solve them using ...