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DTSTART:20200308T070000
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DTSTART:20191103T060000
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DTSTART;TZID=America/Toronto:20200708T150000
SEQUENCE:0
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URL:https://uwaterloo.ca/computer-science/events/phd-seminar-symbolic-compu
 tation-fast-computation-smith-form-of-a-nonsingular-integer-matrix
LOCATION:200 University Avenue West Online PhD seminar Waterloo ON N2L 3G1 
 Canada
SUMMARY:PhD Seminar • Symbolic Computation — Fast Computation of the Sm
 ith\nForm of a Nonsingular Integer Matrix
CLASS:PUBLIC
DESCRIPTION:PLEASE NOTE: THIS PHD SEMINAR WILL BE GIVEN ONLINE.\n\nSTAVROS 
 BIRMPILIS\, PHD CANDIDATE\n_David R. Cheriton School of Computer Science_
 \n\nAny nonsingular matrix $A \\in \\mathbb{Z}^{n\\times n}$ is unimodular
 ly\nequivalent to a unique diagonal matrix $S = diag(s_1\, s_2\, \\ldots\,
 \ns_n)$ in Smith form. The diagonal entries\, the invariant factors of\n$A
 $\, are positive with $s_1 \\mid s_2 \\mid \\cdots \\mid s_n$\, and\nunimo
 dularly equivalent means that there exist unimodular (with\ndeterminant ±
 1) matrices $U\, V \\in \\mathbb{Z}^{n\\times n}$ such that\n$UAV = S$.
DTSTAMP:20260405T092359Z
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