Preview
Unable to display preview. Download preview PDF.
Literature cited
Brent, R. P. and Kung, H. T., “Systolic VLSI arrays for linear-time GCD computation,” Proc. VLSI '83, pp. 145–154 (1983).
Cantor, D. G. and Kaltofen, E., “On fast multiplication of polynomials over arbitrary algebras,” Acta Inform. 28/7, pp. 693–701 (1991).
Coppersmith, D., “Solving linear equations over GF(2) via block Wiedemann algorithm,” Math. Comput., p. to appear (1992).
Dornstetter, J. L., “On the equivalence between Berlekamp's and Euclid's algorithms,” IEEE Trans. Inf. Theory IT-33/3, pp. 428–431 (1987).
Kailath, T., Kung, S.-Y., and Morf, M., “Displacement ranks of matrices and linear equations,” J. Math. Analysis Applications 68, pp. 395–407 (1979).
Kaltofen, E. and Saunders, B. D., “On Wiedemann's method of solving sparse linear systems,” in Proc. AAECC-9, Springer Lect. Notes Comput. Sci. 539; pp. 29–38, 1991.
Lenstra, A. K., Lenstra, H. W., Manasse, M. S., and Pollard, J. M., “The number field sieve,” Proc. 22nd Annual ACM Symp. Theory Comp., pp. 564–572 (1990).
Massey, J. L., “Shift-register synthesis and BCH decoding,” IEEE Trans. Inf. Theory IT-15, pp. 122–127 (1969).
McClellan, M. T., “The exact solution of systems of linear equations with polynomial coefficients,” J. ACM 20, pp. 563–588 (1973).
Moenck, R. T. and Carter, J. H., “Approximate algorithms to derive exact solutions to systems of linear equations,” Proc. EUROSAM '79, Springer Lec. Notes Comp. Sci. 72, pp. 65–73 (1979).
Schwartz, J. T., “Fast probabilistic algorithms for verification of polynomial identities,” J. ACM 27, pp. 701–717 (1980).
Wiedemann, D., “Solving sparse linear equations over finite fields,” IEEE Trans. Inf. Theory IT-32, pp. 54–62 (1986).
Zippel, R., “Probabilistic algorithms for sparse polynomials,” Proc. EUROSAM '79, Springer Lec. Notes Comp. Sci. 72, pp. 216–226 (1979).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kaltofen, E. (1993). Analysis of Coppersmith's block Wiedemann algorithm for the parallel solution of sparse linear systems. In: Cohen, G., Mora, T., Moreno, O. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 1993. Lecture Notes in Computer Science, vol 673. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56686-4_44
Download citation
DOI: https://doi.org/10.1007/3-540-56686-4_44
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-56686-1
Online ISBN: 978-3-540-47630-6
eBook Packages: Springer Book Archive