“Singular Value Decomposition”的概念、定义、习题解题方法及翻译-数学辞典

单词

Singular Value Decomposition

释义

Singular Value Decomposition

An expansion of a Real Matrix by Orthogonal Outer Products according to

(1)

where

(2)

and

(3)

Here

is the Kronecker Delta and

is theMatrix Transpose.

See also Cholesky Decomposition, LU Decomposition, QR Decomposition

References

Nash, J. C. ``The Singular-Value Decomposition and Its Use to Solve Least-Squares Problems.'' Ch. 3 in Compact Numerical Methods for Computers: Linear Algebra and Function Minimisation, 2nd ed. Bristol, England: Adam Hilger, pp. 30-48, 1990.

Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. ``Singular Value Decomposition.'' §2.6 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 51-63, 1992.

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