Scilab Website | Contribute with GitLab | Mailing list archives | ATOMS toolboxes
Scilab Online Help
2024.1.0 - English


kernel

kernel, null space

Syntax

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 (null space) of A, and size(W,2) is the nullity 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))

See also

  • colcomp — column compression, kernel, nullspace
  • fullrf — full rank factorization
  • fullrfk — full rank factorization of A^k
  • linsolve — linear equation solver
Report an issue
<< im_inv Kernel range >>

Copyright (c) 2022-2024 (Dassault Systèmes)
Copyright (c) 2017-2022 (ESI Group)
Copyright (c) 2011-2017 (Scilab Enterprises)
Copyright (c) 1989-2012 (INRIA)
Copyright (c) 1989-2007 (ENPC)
with contributors
Last updated:
Mon Jun 17 17:49:15 CEST 2024