Mathematica MathWorld Wolfram Science More »

Singular Value Decomposition


	The singular value decomposition is a factorization of a matrix into . A vector is first rotated by an angle β via , then is scaled by a diagonal matrix to form . Finally the vector is rotated by an angle ω to form .


	Contributed by: Chris Maes
	Show Initialization Code

Note that U and V are orthogonal matrices and thus do not alter the length of the vectors. In 2D the diagonal matrix Σ has the form

here

are the singular values of the matrix.

Contributed by: Chris Maes

Report an issue »

	Source page:
	Email	Name (optional)
	Occupation (optional)	Organization (optional)
	I use Mathematica often occasionally never
	Country (optional) Remember me
	Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed. Privacy Policy »

RSS

Atom