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Scilab manual >> Linear Algebra > kernel

kernel

kernel, nullspace

Calling Sequence

W=kernel(A [,tol,[,flag])

Arguments

A

full real or complex matrix or real sparse matrix

flag

character string 'svd' (default) or 'qr'

tol

real number

W

full column rank matrix

Description

W=kernel(A) returns the kernel (nullspace) of A. If A has full column rank then an empty matrix [] is returned.

flag and tol are optional parameters: flag = 'qr' or 'svd' (default is 'svd').

tol = tolerance parameter (of order %eps as default value).

Examples

A=rand(3,1)*rand(1,3);
A*kernel(A)
A=sparse(A);
clean(A*kernel(A))

Authors

F.D.;

<< inv Linear Algebra kroneck >>

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Last updated:
Wed Jan 26 16:23:41 CET 2011