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A bound for the War...
A bound for the Waring rank of the determinant via syzygies
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- Boij, Mats (author)
- KTH,Matematik (Inst.)
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- Teitler, Zach (author)
- Boise State Univ, Dept Math, 1910 Univ Dr, Boise, ID 83725 USA.
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KTH Matematik (Inst) (creator_code:org_t)
- ELSEVIER SCIENCE INC, 2020
- 2020
- English.
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In: Linear Algebra and its Applications. - : ELSEVIER SCIENCE INC. - 0024-3795 .- 1873-1856. ; 587, s. 195-214
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Abstract
Subject headings
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- We show that the Waring rank of the 3 x 3 determinant, previously known to be between 14 and 18, is at least 15. We use syzygies of the apolar ideal, which have not been used in this way before. Additionally, we show that the symmetric cactus rank of the 3 x 3 permanent is at least 14.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Waring rank
- Symmetric rank
- Symmetric cactus rank
- Determinants
- Permanents
- Syzygies
Publication and Content Type
- ref (subject category)
- art (subject category)
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