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Svd

compute the singular values/vectors of a numeric matrix

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Svd(X)

Svd(X, U,`left`)

Svd(X, V,`right`)

Svd(X, U, V)

Parameters

X

-

n x p matrix

U

-

(optional) the left singular vectors are to be returned in U

V

-

(optional) the right singular vectors are to be returned in V

Description

• 

Important:  The command Svd has been deprecated.  Use the  superseding command LinearAlgebra[SingularValues] instead.

• 

Svd(X) returns a 1 by minn,p array of the singular values of X.

• 

The entries of X must be all numerical.

• 

Svd(X,U,`left`) returns the singular values and the left singular vectors in U.

• 

Svd(X,V,`right`) returns the singular values and the right singular vectors in V.

• 

Svd(X,U,V) returns the singular values and the left and right singular vectors in U and V respectively. The singular vectors together with the singular values satisfy U'XV=D where U' is the transpose of U and U is n by n, V is p by p, X is n by p, and D is n by p where Di,i is/are the singular value/values of X.

• 

This procedure Svd is compatible with the Fortran library linpack.

• 

Note that nothing happens when the user invokes Svd(X) (same for other calling sequences); the user must use evalf(Svd(X)) to actually compute the singular values and singular vectors.

Examples

Important:  The command Svd has been deprecated.  Use the  superseding command LinearAlgebra[SingularValues] instead.

Alinalg[matrix]2,2,1,2,3,4

A:=1234

(1)

evalfSvdA

5.464985704219040.365966190626257

(2)

See Also

LinearAlgebra[SingularValues]

 


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