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2014-09-18 19:48:41 +0200 | commented question | Linear equations with errors Update: I created a matrix $M$ with rows representing the equations, used M.SVD(), and took the vectors corresponding to the very small singular values. It worked. |
2014-09-18 19:45:25 +0200 | commented question | Linear equations with errors @tmontiel: The numbers are real numeric. |
2014-09-16 18:04:30 +0200 | asked a question | Linear equations with errors I have a system of $n^2$ homogeneous linear equations in $n^2$ variables. Each equation is sparse and only involves $2n$ variables. I create a list of equations and use solve(). I only get the "all-zero" solution. This is because of inaccuracies in the equations. I know (from theory) that there is be a nonzero kernel. So, I'd like to find an approximate solution. That is - a solution of norm 1, which "almost fulfills" the equations. Behind the scenes I probably need the SVD decomposition of the matrix describing the equations (or at least, the input vectors corresponding to the small singular values).
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2010-12-12 11:11:21 +0200 | asked a question | intersection of subgroups I have a group and I'd like to compute the intersection of 2 certain subgroups. How can I compute the intersection in Sage? |