H. Y. Cheung, T. C. Kwok, and L. C. Lau, Fast Matrix Rank Algorithms and Applications, Journal of the ACM, vol.60, issue.5, pp.31-32, 2013.
DOI : 10.1145/2528404

URL : http://arxiv.org/abs/1203.6705

C. Costello, C. Fournet, J. Howell, M. Kohlweiss, B. Kreuter et al., Geppetto: Versatile Verifiable Computation, 2015 IEEE Symposium on Security and Privacy, pp.253-270, 2015.
DOI : 10.1109/SP.2015.23

C. L. Dodgson, Condensation of Determinants, Being a New and Brief Method for Computing their Arithmetical Values, Proceedings of the Royal Society of London, vol.15, issue.0, pp.150-155, 1866.
DOI : 10.1098/rspl.1866.0037

J. Dumas and E. Kaltofen, Essentially optimal interactive certificates in linear algebra, Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation, ISSAC '14, pp.146-153, 2014.
DOI : 10.1145/2608628.2608644

URL : https://hal.archives-ouvertes.fr/hal-00932846

J. Dumas, E. Kaltofen, E. Thomé, and G. Villard, Linear Time Interactive Certificates for the Minimal Polynomial and the Determinant of a Sparse Matrix, Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, ISSAC '16, pp.199-206, 2016.
DOI : 10.1145/2930889.2930908

URL : https://hal.archives-ouvertes.fr/hal-01266041

J. Dumas, C. Pernet, and Z. Sultan, Simultaneous computation of the row and column rank profiles, Proceedings of the 38th international symposium on International symposium on symbolic and algebraic computation, ISSAC '13, pp.181-188, 2013.
DOI : 10.1145/2465506.2465517

URL : https://hal.archives-ouvertes.fr/hal-00778136

J. Dumas, C. Pernet, and Z. Sultan, Computing the Rank Profile Matrix, Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation, ISSAC '15, pp.149-156
DOI : 10.1145/2755996.2756682

URL : https://hal.archives-ouvertes.fr/hal-01107722

J. Dumas, C. Pernet, and Z. Sultan, Fast computation of the rank profile matrix and the generalized Bruhat decomposition, Journal of Symbolic Computation, 2016.
DOI : 10.1016/j.jsc.2016.11.011

URL : https://hal.archives-ouvertes.fr/hal-01251223

W. Eberly, A new interactive certificate for matrix rank, 2015.

A. Fiat and A. Shamir, How To Prove Yourself: Practical Solutions to Identification and Signature Problems, Advances in Cryptology -CRYPTO'86, pp.186-194, 1986.
DOI : 10.1007/3-540-47721-7_12

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.13.8796

R. Freivalds, Fast probabilistic algorithms, Mathematical Foundations of Computer Science LNCS, vol.74, pp.57-69, 1979.
DOI : 10.1007/3-540-09526-8_5

S. Goldwasser, Y. T. Kalai, and G. N. Rothblum, Delegating computation: interactive proofs for muggles, pp.113-122, 2008.
DOI : 10.1145/2699436

C. Jeannerod, C. Pernet, and A. Storjohann, Rank-profile revealing Gaussian elimination and the CUP matrix decomposition, Journal of Symbolic Computation, vol.56, pp.46-68, 2013.
DOI : 10.1016/j.jsc.2013.04.004

URL : https://hal.archives-ouvertes.fr/hal-00655543

E. L. Kaltofen, M. Nehring, and B. D. Saunders, Quadratic-time certificates in linear algebra, Proceedings of the 36th international symposium on Symbolic and algebraic computation, ISSAC '11, pp.171-176, 2011.
DOI : 10.1145/1993886.1993915

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.220.7699

C. Pernet and A. Storjohann, Faster algorithms for the characteristic polynomial, Proceedings of the 2007 international symposium on Symbolic and algebraic computation , ISSAC '07, pp.307-314, 2007.
DOI : 10.1145/1277548.1277590

A. Storjohann and S. Yang, A Relaxed Algorithm for Online Matrix Inversion, Yokoyama [17], pp.339-346
DOI : 10.1145/2733693.2733713