Mathematica provides a range of methods for representing and constructing matrices. Especially powerful are symbolic representations, in terms of symbolic systems of ...

Mathematica has special sparse-array technology for efficiently handling arrays with literally astronomical numbers of elements when only a small fraction of the elements are ...

QuadraticFormDistribution[{a, b, c}, {\[Mu], \[CapitalSigma]}] represents the distribution of a quadratic form z.a.z + b.z + c for multivariate normal z.

PositiveDefiniteMatrixQ[m] tests whether m is a positive definite matrix.

LQEstimatorGains[ss, {w, v}] gives the optimal estimator gain matrix for the StateSpaceModel object ss with process and measurement noise covariance matrices w and ...

Since many functions in Mathematica give solutions in the form of rules, you need to be able to use these rules to explore and interpret your results. Although many of the ...

The NumericalDifferentialEquationAnalysis package combines functionality for analyzing differential equations using Butcher trees, Gaussian quadrature, and Newton-Cotes ...

Mathematica's handling of polynomial systems is a tour de force of algebraic computation. Building on mathematical results spanning more than a century, Mathematica for the ...

ToRules[eqns] takes logical combinations of equations, in the form generated by Roots and Reduce, and converts them to lists of rules, of the form produced by Solve.