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X-WR-CALNAME:Discrete Mathematics Group
X-ORIGINAL-URL:https://dimag.ibs.re.kr
X-WR-CALDESC:Events for Discrete Mathematics Group
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20200101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210629T163000
DTEND;TZID=Asia/Seoul:20210629T173000
DTSTAMP:20260424T225120
CREATED:20210614T232723Z
LAST-MODIFIED:20240707T081306Z
UID:4251-1624984200-1624987800@dimag.ibs.re.kr
SUMMARY:Jeong Ok Choi (최정옥)\, Invertibility of circulant matrices of arbitrary size
DESCRIPTION:In this talk\, we present sufficient conditions to guarantee the invertibility of rational circulant matrices with any given size. These sufficient conditions consist of linear combinations in terms of the entries in the first row with integer coefficients. Using these conditions we show the invertibility of some family of circulant matrices with particular forms of integers generated by a primitive element in $\mathbb{Z}_p$. Also\, the invertibility of circulant 0\, 1-matrices can be argued combinatorially by applying sufficient conditions. This is joint work with Youngmi Hur.
URL:https://dimag.ibs.re.kr/event/2021-06-29/
LOCATION:Room B232\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
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