Using Elimination Theory to Construct Rigid Matrices-Reference-Cited by-同舟云学术

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Using Elimination Theory to Construct Rigid Matrices

Published:2013-04-09 Issue:4 Volume:23 Page:531-563
ISSN:1016-3328
Container-title:computational complexity
language:en
Short-container-title:comput. complex.

Author:

Kumar Abhinav,Lokam Satyanarayana V.,Patankar Vijay M.,Sarma M. N. Jayalal

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Computational Theory and Mathematics,General Mathematics,Theoretical Computer Science

Link

http://link.springer.com/content/pdf/10.1007/s00037-013-0061-0.pdf

Reference29 articles.

1. Brownawell W.D. (1987) Bounds for the degrees in the Nullstellensatz. Annals of Mathematics 126(3): 577–591

2. W.Bruns & U.Vetter (1980). Determinantal Rings, volume 1327 of Lecture Notes in Mathematics. Springer-Verlag.

3. M.Cheraghchi (2005). On matrix rigidity and the complexity of linear forms. Electronic Colloquium on Computational Complexity (ECCC) (070).

4. Codenotti B. (2000) Matrix rigidity. Linear Algebra and its Applications 304(1–3): 181–192

5. D.Cox , J.Little & D.O’Shea (2007). Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra. Undergraduate Texts in Mathematics. Springer, New York, 3rd edition.

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1. A Polynomial Degree Bound on Equations for Non-rigid Matrices and Small Linear Circuits;ACM Transactions on Computation Theory;2022-06-30

2. Fourier and Circulant Matrices are Not Rigid;Theory of Computing;2020

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4. Matrix Rigidity and the Ill-Posedness of Robust PCA and Matrix Completion;SIAM Journal on Mathematics of Data Science;2019-01

5. Fourier and Circulant Matrices Are Not Rigid;LEIBNIZ INT PR INFOR;2019

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