Hello everyone. In Sage 9.2.beta11, Sage's functionality for eigenvalues and eigenvectors has been extended in two directions:
• In #30393 <https://trac.sagemath.org/ticket/30393>, Marc Mezzarobba has added wrappers for arb's new support for arbitrary precision computation of eigenvalues and eigenvectors. • In #29243 <https://trac.sagemath.org/ticket/29243>, support for computing generalized eigenvalues via SciPy was added (both reviewed by Sébastien Labbé – thanks). Adding to the second point, I would like to share an external package, guptri_py [1], that I created for NumPy and Sage. It is a small wrapper for the Fortran library GUPTRI [2] and can be used to compute generalized eigenvalues when a matrix pencil is singular. To give some details, for two matrices A and B, the roots of the polynomial det(A - λB) are called generalized eigenvalues. If the polynomial is constantly zero, the pencil is said to be singular, in which case eigenvalues are more difficult to define and to compute – this is what GUPTRI can be used for (in contrast to SciPy/LAPACK). I hope this package might be useful for someone. By the way, is there a place that lists external Sage packages to make them easier to find? All I could find is a collection of old SPKGs. Best regards, Markus [1] https://github.com/mwageringel/guptri_py [2] https://www8.cs.umu.se/research/nla/singular_pairs/guptri/ -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-devel/dbd13b61-227d-493d-bbbe-8d910ea90eben%40googlegroups.com.
