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2020-10-22 17:25:25 +0100 | asked a question | Determinant of large sparse symbolic matrices I am working on a symbolic circuit simulation program for electronic circuits (SLiCAP). I have a matlab (MuPAD) and a python version available. The key task of such a program is the calculation of the determinant of sparse matrices with symbolic entries. The MuPAD (MATLAB symbolic toolbox) version calculates the determinant of a sparse matrix (dim = 52x52) with one symbolic variable (the Laplace variable) in about one minute (minor expansion, algorithm unknown). The Python version uses maxima and the newdet method (Gentleman-Johnson algorithm). This method is limited to dim=50x50, but I had to reduce the size to (30x30) because of memory paging errors reported by Lisp. Now I would like to try SageMath with the "df" algorithm for this purpose, but its running more then 30 minutes ... I know the Gentleman-Johnson method is included in PyNAC but it doesn't seem to be included in the sage wrapper. My questions:
Thanks in advance for repying! |
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