I have managed to implement a function to calculate rref of a matrix. It's not using any particular reference, but it does seems to work. Please have a look[1]. I am now working on the final pieces of dense matrix, LU and QR decompositions, inverse and determinant(relatively easy because of rref) and a solve. I am also implement hessian and matrix derivatives.
A very rough outline of solve is this-- if we have some equations like-- a1x + b1y + c1z = d (1) a2x + b2y + c2z = d (2) a3x + b3y + c3z = d (3) if ncol > nrow + 1, return underdetermined and return infinite solutions checking with rowdiv, if (1), (2), (3) are complete multiples of each other (both left hand side and right hand side), return infinite solutions if (1), (2), (3) are partial multiples(only left hand side), return no solution. else -- calculate rref and return solution. The only concern is that rref is slower than older rref. The new profiles can be found in [2] I am not sure if I have missed something. I would request others to please point the functions I missed right now. [1] https://github.com/sympy/sympy/pull/2248 [2] http://sympymatrix.blogspot.in/2013/07/profile-of-new-rref-function-and-some.htm -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. For more options, visit https://groups.google.com/groups/opt_out.
