The discussion revolves around numerically solving for the null vector of a singular 1000 by 1000 matrix A, specifically focusing on methods to find a nonzero vector x such that Ax = 0. The context includes the use of MATLAB for this purpose.
Participants generally agree on the goal of finding a nonzero vector in the null space of the matrix, but there is no consensus on the effectiveness of MATLAB for this task, as the original poster indicates that MATLAB does not work for them.
There may be limitations related to the specific implementation or conditions under which MATLAB is being used, as well as assumptions about the properties of the matrix A.
wdlang said:i have a 1000 by 1000 matrix A
A is definitely singular
I want to solve the null vector numerically
How to do this?
matlab does not work!
jbunniii said:Can you clarify what you mean by "solve the null vector"? Do you mean that you want to find a vector [tex]x \neq 0[/tex] such that [tex]Ax = 0[/tex]? i.e., to find a nonzero element of the null space?
wdlang said:yes!