Browsing Theses by Subject "rank"
Now showing items 1-2 of 2
-
Algorithms for fast linear system solving and rank profile computation
(University of Waterloo, 2014-07-16)We give randomized algorithms for linear algebra problems concerning an n*m input matrix A over a field K. We give an algorithm that simultaneously computes the row and column rank profiles of A in 2r^3 + (r^2+n+m+|A|)^{1+o(1)} ... -
Fast Order Basis and Kernel Basis Computation and Related Problems
(University of Waterloo, 2013-01-28)In this thesis, we present efficient deterministic algorithms for polynomial matrix computation problems, including the computation of order basis, minimal kernel basis, matrix inverse, column basis, unimodular completion, ...