Man Scilab

linsolve - linear equation solver

Calling Sequence

[x0,kerA]=linsolve(A,b [,x0])

Parameters

• A : a na x ma real matrix (possibly sparse)
• b : a na x 1 vector (same row dimension as A )
• x0 : a real vector
• kerA : a ma x k real matrix

Description

linsolve computes all the solutions to A*x+b=0 .

x0 is a particular solution (if any) and kerA= nullspace of A . Any x=x0+kerA*w with arbitrary w satisfies A*x+b=0 .

If compatible x0 is given on entry, x0 is returned. If not a compatible x0 , if any, is returned.

Examples

A=rand(5,3)*rand(3,8);
b=A*ones(8,1);[x,kerA]=linsolve(A,b);A*x+b   //compatible b
b=ones(5,1);[x,kerA]=linsolve(A,b);A*x+b   //uncompatible b
A=rand(5,5);[x,kerA]=linsolve(A,b), -inv(A)*b  //x is unique
 
  

See Also

inv ,   pinv ,   colcomp ,   im_inv ,  

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