JordanDecomposition (Built-in Mathematica Symbol)

JordanDecomposition[m] yields the Jordan decomposition of a square matrix m. The result is a list {s, j} where s is a similarity matrix and j is the Jordan canonical form of ...

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 ...

LQGRegulator (Built-in Mathematica Symbol)

LQGRegulator[{ss, sensors, finputs}, {w, v, h}, {q, r, p}] constructs the optimal feedback regulator for the StateSpaceModel ss using noisy measurements sensors and feedback ...

UnitVector (Built-in Mathematica Symbol)

UnitVector[k] gives the two-dimensional unit vector in the k\[Null]^th direction.UnitVector[n, k] gives the n-dimensional unit vector in the k\[Null]^th direction.

SymplecticPartitionedRungeKutta Method ... (Mathematica Tutorial)

When numerically solving Hamiltonian dynamical systems it is advantageous if the numerical method yields a symplectic map. If the Hamiltonian can be written in separable ...

Functions Used in Quantum Mechanics (Mathematica Guide)

New in 6.0: Mathematical Functions (Mathematica Guide)

StateSpaceTransform (Built-in Mathematica Symbol)

StateSpaceTransform[ss, s_1] transforms the StateSpaceModel object ss using the similarity matrix s_1.StateSpaceTransform[ss, {s_1, s_2}] computes the transformation using ...

Total (Built-in Mathematica Symbol)

Total[list] gives the total of the elements in list. Total[list, n] totals all elements down to level n. Total[list, {n}] totals elements at level n. Total[list, {n_1, n_2}] ...

MapThread (Built-in Mathematica Symbol)

MapThread[f, {{a_1, a_2, ...}, {b_1, b_2, ...}, ...}] gives {f[a_1, b_1, ...], f[a_2, b_2, ...], ...}. MapThread[f, {expr_1, expr_2, ...}, n] applies f to the parts of the ...