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SingularValuesQRDecomposition

PseudoInverse

FilledSmallSquarePseudoInverse[m] finds the pseudoinverse of a rectangular matrix.

FilledSmallSquarePseudoInverse works on both symbolic and numerical matrices.

FilledSmallSquare For numerical matrices, PseudoInverse[m, Tolerance -> t] specifies that singular values smaller than t times the maximum singular value are to be removed.

FilledSmallSquare The default setting Tolerance -> Automatic typically takes t to be where is the numerical precision of the input.

FilledSmallSquare For non-singular square matrices , the pseudoinverse is equivalent to the standard inverse.

FilledSmallSquare See The Mathematica Book: Section 3.7.10.

FilledSmallSquare See also: Inverse, SingularValues, Fit.

FilledSmallSquare Related package: LinearAlgebra`Cholesky`.

Further Examples

SingularValuesQRDecomposition