# NumericRealEigenPackage Par¶

characteristicPolynomial(m, x) returns the characteristic polynomial of the matrix m expressed as polynomial over RN with variable x. Fraction P RN.
characteristicPolynomial(m) returns the characteristic polynomial of the matrix m expressed as polynomial over RN with a new symbol as variable.
realEigenvalues(m, eps) computes the eigenvalues of the matrix m to precision eps. The eigenvalues are expressed as floats or rational numbers depending on the type of eps (float or rational).
realEigenvectors(m, eps) returns a list of records each one containing a real eigenvalue, its algebraic multiplicity, and a list of associated eigenvectors. All these results are computed to precision eps as floats or rational numbers depending on the type of eps .