SingularValueList
Usage
• SingularValueList[m] gives a list of the non-zero singular values of a numerical 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.
Notes
• 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  , where  is Precision[m]. • SingularValueList[m, Tolerance->t] keeps only singular values that are at least t times the largest singular value. • SingularValueList[m, Tolerance->0] returns all singular values. • The matrix m can be rectangular; the total number of singular values is always Min[Dimensions[m]]. • The singular values can be obtained from Sqrt[Eigenvalues[Conjugate[Transpose[m]] . m]]. • New in Version 5. • Advanced Documentation.
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