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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.
  • Singular values are sorted from largest to smallest.
  • Repeated singular values appear with their appropriate multiplicity.
  • By default, singular values are kept only when they are larger than 100 times 10-p, where p is Precision[m].
  • 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.
New in 5 | Last modified in 6