Fetching the paper…
Reading the bibliography…
In this paper, we present novel deterministic algorithms for multiplying two $n \times n$ matrices approximately.
V. Strassen, Gaussian elimination is not optimal, Numer. Math., 14, pp. 354–356 (1969)
1969
Earlier work this paper cites.
V. Pan, How Can We Speed Up Matrix Multiplication?, SIAM Review Volume 26, No. 3, pp. 393-415 (1984)
1984
Earlier work this paper cites.
V. Strassen, Relative bilinear complexity and matrix multiplication, J. ReineAngew. Math., 375/376:406–443 (1987)
1987
Earlier work this paper cites.
J. Takche, Complexities of Special Matrix Multiplication Problems, Comput. Math. Applic. Vol. 15, No. 12, pp. 977-989 (1988)
1988
Earlier work this paper cites.
G. H. Golub and C. F. Van Loan, Matrix Computations, Johns Hopkins University Press, Baltimore, MD (1989)
1989
Earlier work this paper cites.
D. Coppersmith and S. Winograd, Matrix multiplication via arithmetic progressions, J. Symbolic Comput., 9, pp. 251–280 (1990)
1990
Earlier work this paper cites.
G. W. Stewart and J. G. Sun, Matrix Perturbation Theory, Academic Press, New York (1990)
1990
Earlier work this paper cites.
U. Baum and Mc. Clausen, Fast Fourier Transforms, SpektrumAkademischerVerlag (1993)
1993
Earlier work this paper cites.
A. Frieze, R. Kannan, and S. Vempala, Fast Monte-Carlo algorithms for finding low-rank approximations, in Proceedings of the 39th Annual IEEE Symposium on Foundations of Computer Science, pp. 370–378 (1998)
1998
Earlier work this paper cites.
E. Cohen and D. D. Lewis, Approximating matrix Multiplication for Pattern recognition tasks, Journal of Algorithms, 30(2): 211-252 (1999)
1999
Earlier work this paper cites.
D. Achiloptas and F. McSherry, Fast Computation of Low Rank Approximations, Proceedings of the 33rd Annual Symposium on Theory of Computing(2001)
2001
Cited alongside, same era.
P. Drineas and R. Kannan, Fast Monte-Carlo algorithms for approximate matrix multiplication, in Proceedings of the 42nd Annual IEEE Symposium on Foundations of Computer Science, pp. 452–459 (2001)
2001
Cited alongside, same era.
H. Cohn and C. Umans, A group-theoretic approach to fast matrix multiplication, in Proceedings of the 44th Annual FOCS, pp. 438–449 (2003)
2003
Cited alongside, same era.
P. Drineas and R. Kannan, Pass efficient algorithms for approximating large matrices, in Proceedings of the 14th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 223–232 (2003)
2003
Cited alongside, same era.
H. Cohn, R. D. Kleinberg, B. Szegedy, and C. Umans, Group-theoretic algorithms for matrix multiplication, in Proceedings of the 46th Annual FOCS, pp. 379–388 (2005)
N. Alon, A. Shpilka and C. Umans, On sunflowers and matrix multiplication, ECCC TR11-067, 18 (2011)
2011
Later among the works it cites.
N. Halko, P.G. Martinsson and J.A. Tropp, Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions, SIAM Review 53, pp. 217-288 (2011)
2011
Later among the works it cites.
A. Magen and A. Zouzias, Low Rank Matrix-valued Chernoff Bounds and Approximate Matrix Multiplication, SODA: 1422-1436 (2011)
2011
Later among the works it cites.
K. Kutzkov, Deterministic algorithms for skewed matrix products, CoRR abs/1209.4508 (2012)
2012
Later among the works it cites.
V.V. Williams, Multiplying matrices faster than Coppersmith-Winograd, In Proceedings of the 44th Symposium on Theory of Computing, STOC ’12, ACM, 887–898 (2012)
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2005
Cited alongside, same era.
P. Drineas, R. Kannan, and M. W. Mahoney, Fast Monte Carlo Algorithms for Matrices I: Approximating Matrix Multiplication, SIAM J. Comput, 36, pp. 132-157 (2006)
2006
Cited alongside, same era.
P. Drineas, M. W. Mahoney and S. Muthukrishnan, Sub-space sampling and relative-error matrix approximation: Column-based methods, in proc. Of the 10th RANDOM (2006)
2006
Cited alongside, same era.
A. Zhou and J. Ding, Eigenvalues of rank-one updated matrices with some applications, Applied Mathematics Letters vol. 2 : issue 12, pp. 1223-1226 (2007)
2007
Cited alongside, same era.
M. A. Iwen and C. V. Spencer. A note on compressed sensing and the complexity of matrix multiplication. Inf. Process. Lett, 109(10):468–471, 2009
2009
Cited alongside, same era.
http://www.cs.berkeley.edu/satishr/cs270/sp11/rough-notes/Linear-Equations.pdf
Cited in the paper.
2012
Later among the works it cites.
A. Davie and A. J. Stothers, Improved bound for complexity of matrix multiplication, Proceedings of the Royal Society of Edinburgh, Section: A Mathematics, 143:pp. 351–369 (2013)
2013
Later among the works it cites.
R. Pagh, Compressed Matrix Multiplication, TOCT 5(3): 9 (2013)
2013
Later among the works it cites.
R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press (2013)
2013
Later among the works it cites.
Francois Le Gall, Powers of tensors and fast matrix multiplication, Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation (2014)
2014
Closest in time.