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Apolarity for determinants and permanent...

Shafiei, Sepideh...

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Apolarity for determinants and permanents of generic symmetric matrices by Shafiei, Sepideh ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-08-2023
Summary	We show that the apolar ideal to the determinant of a generic symmetric matrix is generated in degree two, and the apolar ideal to the permanent of a generic symmetric matrix is generated in degrees two and three. In each case we specify the generators of the apolar ideal. As a consequence, using a result of K. Ranestad and F. O. Schreyer we give lower bounds to the cactus rank and rank of each of these polynomials. We compare these bounds with those obtained by J. Landsberg and Z. Teitler.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Charge Per Copy	MYR 0.01
Available copies	1
Total read	-
URL	http://arxiv.org/abs/1303.1860

Citation

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AMA 11th EditionReferences

Shafiei, Sepideh. Apolarity for determinants and permanents of generic symmetric matrices. Australian National University. August 01, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/9851

APA 7th EditionReferences

Shafiei, Sepideh. (2023). Apolarity for determinants and permanents of generic symmetric matrices. Australian National University. https://online.provdatabase.com/cite/9851

Chicago 17th EditionReferences

Shafiei, Sepideh. Apolarity for determinants and permanents of generic symmetric matrices. Australian National University. 2023. https://online.provdatabase.com/cite/9851

HarvardReferences

Shafiei, Sepideh. (2023). Apolarity for determinants and permanents of generic symmetric matrices. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/9851. (Accessed 20 September 2024).

Harvard AustraliaReferences

Shafiei, Sepideh, 2023, Apolarity for determinants and permanents of generic symmetric matrices, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/9851>

MLA 9th EditionWorks Cited

Shafiei, Sepideh. Apolarity for determinants and permanents of generic symmetric matrices. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/9851.

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