HessenbergDecomposition (Built-in Mathematica Symbol)

HessenbergDecomposition[m] gives the Hessenberg decomposition of a matrix m.

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 ...

Remote Definitions (Parallel Package Tutorial)

Parallel kernels do not have access to the values of variables defined in the master kernel, nor do they have access to locally defined functions. Mathematica contains a ...

JacobiP (Built-in Mathematica Symbol)

JacobiP[n, a, b, x] gives the Jacobi polynomial P_n^(a, b)(x).

EstimatorGains (Built-in Mathematica Symbol)

EstimatorGains[ss, {p_1, p_2, ..., p_n}] gives the estimator gain matrix for the StateSpaceModel object ss, such that the poles of the estimator are p_i.

Linear Systems of ODEs (Mathematica Tutorial)

Here is a system of two ODEs whose coefficient matrix has real and distinct eigenvalues. This solves the system. Note that the general solution depends on two arbitrary ...

LQRegulatorGains (Built-in Mathematica Symbol)

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 ...

Parallel Computing Tools User Guide (Parallel Package Overview)

Introduction Getting Started Configuring and Monitoring

Benchmark (Benchmarking Package Symbol)

Benchmark[] runs the MathematicaMark8 benchmark.

StateSpaceModel (Built-in Mathematica Symbol)

StateSpaceModel[{a, b, c, d}] represents the state-space model with state matrix a, input matrix b, output matrix c, and transmission matrix d. StateSpaceModel[tf] gives a ...