Eigenvalues[m] gives a list of the eigenvalues of the square matrix m. Eigenvalues[{m, a}] gives the generalized eigenvalues of m with respect to a. Eigenvalues[m, k] gives ...

Eigenvalues and eigenvectors. The eigenvalues of a matrix m are the values λ_i for which one can find nonzero vectors v_i such that m.v_i λ_iv_i. The eigenvectors are the ...

TransferFunctionPoles[tf] gives a matrix of roots of the denominators in the TransferFunctionModel object tf.

SpheroidalEigenvalue[n, m, \[Gamma]] gives the spheroidal eigenvalue with degree n and order m.

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

StateFeedbackGains[ss, {p_1, p_2, ..., p_n}] gives the state feedback gain matrix for the StateSpaceModel object ss such that the poles of the closed-loop system are p_i.

Mathematica's matrix operations handle both numeric and symbolic matrices, automatically accessing large numbers of highly efficient algorithms. Mathematica uses ...

JordanModelDecomposition[ss] yields the Jordan decomposition of a StateSpaceModel object ss. The result is a list {s, jc} where s is a similarity matrix and jc is the Jordan ...

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 ...

Vectors and matrices in Mathematica are simply represented by lists and by lists of lists, respectively. The representation of vectors and matrices by lists. This is a 2×2 ...