Built-in Mathematica Symbol

SingularValueList

SingularValueList[m]
gives a list of the nonzero singular values of a matrix m.

SingularValueList[{m, a}]
gives the generalized singular values of m with respect to a.

SingularValueList[m, k]
gives the k largest singular values of m.

SingularValueList[{m, a}, k]
gives the k largest generalized singular values of m.

By default, singular values are kept only when they are larger than 100 times 10^-p, where p is Precision[m].

SingularValueList[m, Tolerance->t] keeps only singular values that are at least t times the largest singular value.

The matrix m can be rectangular; the total number of singular values is always Min[Dimensions[m]].

Exact and symbolic matrices can be used, with zero tolerance assumed by default.

The singular values can be obtained from Sqrt[Eigenvalues[Conjugate[Transpose[m]].m]].

There are only two nonzero singular values since the matrix is singular: