SystemsModelDelete (Built-in Mathematica Symbol)

SystemsModelDelete[sys, {i_1, i_2, ...}] deletes the subsystem of the StateSpaceModel or TransferFunctionModel object sys associated with inputs at position ...

Compiling Mathematica Expressions (Mathematica Tutorial)

If you make a definition like f[x_]:=x Sin[x], Mathematica will store the expression x Sin[x] in a form that can be evaluated for any x. Then when you give a particular value ...

Benchmarking Package (Benchmarking Package Tutorial)

This package contains functions for measuring the performance of Mathematica on your computer and for producing a comparison report that includes benchmark results for other ...

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 ...

AdjacencyMatrix (Built-in Mathematica Symbol)

AdjacencyMatrix[g] gives the vertex\[Dash]vertex adjacency matrix of the graph g.

Advanced Numerical Differential ... (Mathematica Tutorial)

[AP91] Ascher, U. and L. Petzold. "Projected Implicit Runge–Kutta Methods for Differential Algebraic Equations." SIAM J. Numer. Anal. 28 (1991): 1097–1120. [AP98] Ascher, U. ...

OrthogonalProjection Method for NDSolve (Mathematica Tutorial)

Consider the matrix differential equation where the initial value y_0 y(0)∈^m×p is given. Assume that y_0^Ty_0I, that the solution has the property of preserving ...

SingularValueDecomposition (Built-in Mathematica Symbol)

SingularValueDecomposition[m] gives the singular value decomposition for a numerical matrix m as a list of matrices {u, w, v}, where w is a diagonal matrix and m can be ...

Some Notes on Internal Implementation (Mathematica Tutorial)

General issues about the internal implementation of Mathematica are discussed in "The Internals of Mathematica". Given here are brief notes on particular features. These ...