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单词 Sherman-Morrison Formula
释义

Sherman-Morrison Formula

A formula which allows the new Matrix to be computed for a small change to a Matrix . If thechange can be written in the form


for two vectors and , then the Sherman-Morrison formula is


where


See also Woodbury Formula


References

Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. ``Sherman-Morrison Formula.'' In Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 65-67, 1992.


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