XploRe Help : eigsm

Keywords - Function groups - @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Group:	Linear Algebra
See also:	svd eiggn eigensm

Function:		eigsm
Description:		eigsm computes the eigenvalues and eigenvectors of symmetric ; matrices and arrays in unsorted order.

Usage:	`y = eigsm (x)`
Input:
	`x`	p x p x d1 x d2 x ... x dn array of user-defined data ; for which the eigenvalues and eigenvectors should be ; computed. Note that x must be a symmetric matrix or an ; array of symmetric matrices.
Output:
	`y.values`	p x 1 x d1 x d2 x ... x dn array containing the eigenvalues ; of the supplied matrices in unsorted order.
	`y.vectors`	p x p x d1 x d2 x ... x dn array containing the normalized ; eigenvectors of the supplied matrices.

Note:

!! Eigsm does not check whether a matrix or an array is ; symmetric. !!

Example:

x=#(1,3)~#(3,1) eigsm(x)

Result:

Contents of eigsm.values



[1,]       -2

[2,]        4

Contents of eigsm.vectors



[1,]  0.70711  0.70711

[2,] -0.70711  0.70711