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[tfm] gives a matrix of roots of the denominators in the TransferFunctionModel tfm. 9+TransferFunctionPoles[tfm, reg] only gives the roots inside the ...

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[ssm, {p_1, p_2, ..., p_n}] gives the state feedback gain matrix for the state-space model ssm, 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[ssm] yields the Jordan decomposition of the state-space model ssm.

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 ...

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 ...