Testing and Verification (Mathematica Tutorial)

Every version of Mathematica is subjected to a large amount of testing before it is released. The vast majority of this testing is done by an automated system that is written ...

Using a Text-Based Interface (Mathematica Tutorial)

The standard front end interface, as discussed in "Using a Notebook Interface", is appropriate for most users' purposes. In some cases, however, you may not need to use the ...

Statistics`MultiDescriptiveStatistics` (Mathematica Compatibility Information)

Univariate descriptive statistics have been added to the built-in Mathematica kernel. Multivariate functionality from this package is included in the newly created ...

CholeskyDecomposition (Built-in Mathematica Symbol)

CholeskyDecomposition[m] gives the Cholesky decomposition of a matrix m.

DiscreteLQRegulatorGains (Built-in Mathematica Symbol)

DiscreteLQRegulatorGains[ss, {q, r}, \[Tau]] gives the optimal discrete-time state feedback gain matrix with sampling period \[Tau] for the continuous-time StateSpaceModel ...

LinearSolveFunction (Built-in Mathematica Symbol)

LinearSolveFunction[dimensions, data] represents a function for providing solutions to a matrix equation.

LUDecomposition (Built-in Mathematica Symbol)

LUDecomposition[m] generates a representation of the LU decomposition of a square matrix m.

PseudoInverse (Built-in Mathematica Symbol)

PseudoInverse[m] finds the pseudoinverse of a rectangular matrix.

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.

EquationTrekker Package (Equation Trekker Package Tutorial)

This package provides an interactive tool for investigating the solutions of differential equations as well as other types of equations that have solutions that can be viewed ...