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Справка Scilab >> Linear Algebra > Kernel > kernel

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
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Last updated:
Tue Feb 14 15:13:21 CET 2017