How MATLAB deal with infinity Many Solution System
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I want to Solve a System using MATLAB this System has infinity many solutions but it gave me number values as a solution with a warning : warning rank deficient rank 3
my Question is How does MATLAB deal with Systems of infinity many solutions ?
thank you..
回答（1 个）
Torsten
2015-4-23
0 个投票
Which type of system do you have ? A linear system of equations ? Then you may use the \-operator to get a single solution. Or you can use the \-operator together with the null-command to get all solutions.
Best wishes
Torsten.
5 个评论
Amro Meshref
2022-9-3
I have a linear system which has infinite solutions. How can I use matlab to solve it?
Torsten
2022-9-3
The question is: what do you want MATLAB to return ? If the system has an infinite number of solution, MATLAB can't list all of them. Maybe you want one particular solution and a basis of the null space ?
Amro Meshref
2022-9-8
编辑：Amro Meshref
2022-9-8
Ok. How do I get them? (Null space basis and and the particular solution)
Bruno Luong
2022-9-8
@Amro Meshref Torsen has already provided the function names you need to use: "... you can use the \-operator together with the null-command to get all solutions."
Actually I think "\" is not a reliable way to get solution in some circumtances but this is for another discussion.
Example:
A = [1 2; -0.5 -1];
b = [1; -0.5];
% Don't know why
% sol_inhom = A\b or sol_inhom = lsqlin(A,b)
% gives NaN in both components
sol_inhom = lsqnonlin(@(x)A*x-b,[1; 1]);
sol_hom = null(A);
sol = @(lambda)sol_inhom + lambda*sol_hom
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