-
1
-
-
84968518238
-
Factoring polynomials over large finite fields
-
E. R. BERLEKAMP (1970). Factoring polynomials over large finite fields. Math. Comp. 24, 713-735.
-
(1970)
Math. Comp.
, vol.24
, pp. 713-735
-
-
Berlekamp, E.R.1
-
2
-
-
0011491022
-
A subexponential algorithm for the determination of class groups and regulators of algebraic number fields
-
Birkhäuser
-
J. BUCHMANN (1988). A subexponential algorithm for the determination of class groups and regulators of algebraic number fields. In Séminaire de théorie des nombres (Paris), Birkhäuser, 27-41.
-
(1988)
Séminaire de Théorie des Nombres (Paris)
, pp. 27-41
-
-
Buchmann, J.1
-
3
-
-
0000205195
-
Algorithms for the solution of systems of linear diophantine equations
-
T. J. CHOU & G. E. COLLINS (1982). Algorithms for the solution of systems of linear Diophantine equations. SIAM J. Comput. 11, 687-708.
-
(1982)
SIAM J. Comput.
, vol.11
, pp. 687-708
-
-
Chou, T.J.1
Collins, G.E.2
-
4
-
-
0023294681
-
Hermite normal form computation using modulo determinant arithmetic
-
P. DOMICH, R. KANNAN & L. TROTTER (1987). Hermite normal form computation using modulo determinant arithmetic. Math. Oper. Res. 12, 50-59.
-
(1987)
Math. Oper. Res.
, vol.12
, pp. 50-59
-
-
Domich, P.1
Kannan, R.2
Trotter, L.3
-
8
-
-
0029205278
-
Fast computation of the Smith form of an integer matrix
-
ACM Press, Montreal
-
M. GIESBRECHT (1995). Fast computation of the Smith form of an integer matrix. In Proceedings of ISSAC'95, ACM Press, Montreal, 110-118.
-
(1995)
Proceedings of ISSAC'95
, pp. 110-118
-
-
Giesbrecht, M.1
-
9
-
-
0039626204
-
Probabilistic computation of the Smith normal form of a sparse integer matrix
-
H. Cohen (ed.)
-
M. GIESBRECHT (1996). Probabilistic computation of the Smith normal form of a sparse integer matrix. In Algorithmic Number Theory: Second International Symposium, H. Cohen (ed.), 175-188.
-
(1996)
Algorithmic Number Theory: Second International Symposium
, pp. 175-188
-
-
Giesbrecht, M.1
-
10
-
-
84968519059
-
A rigorous subexponential algorithm for computation of class groups
-
J. L. HAFNER & K. S. MCCURLEY (1989). A rigorous subexponential algorithm for computation of class groups. J. Amer. Math. Soc. 2, 837-850.
-
(1989)
J. Amer. Math. Soc.
, vol.2
, pp. 837-850
-
-
Hafner, J.L.1
McCurley, K.S.2
-
11
-
-
0026403469
-
Asymptotically fast triangularization of matrices over rings
-
J. L. HAFNER & K. S. MCCURLEY (1991). Asymptotically fast triangularization of matrices over rings. SIAM J. Comput. 20, 1068-1083.
-
(1991)
SIAM J. Comput.
, vol.20
, pp. 1068-1083
-
-
Hafner, J.L.1
McCurley, K.S.2
-
12
-
-
21144483149
-
Recognizing badly presented Z-modules
-
G. HAVAS, D. HOLT & S. REES (1993). Recognizing badly presented Z-modules. Linear Algebra Appl. 192, 137-163.
-
(1993)
Linear Algebra Appl.
, vol.192
, pp. 137-163
-
-
Havas, G.1
Holt, D.2
Rees, S.3
-
14
-
-
0001796902
-
A generalization of the fast LUP matrix decomposition algorithm and application
-
O. IBARRA, S. MORAN & R. HUI (1982). A generalization of the fast LUP matrix decomposition algorithm and application. J. Algorithms 3, 45-56.
-
(1982)
J. Algorithms
, vol.3
, pp. 45-56
-
-
Ibarra, O.1
Moran, S.2
Hui, R.3
-
15
-
-
0024716132
-
Worst-case complexity bounds on algorithms for computing the canonical structure of finite abelian groups and the Hermite and Smith normal forms of an integer matrix
-
C. ILIOPOLOUS (1989). Worst-case complexity bounds on algorithms for computing the canonical structure of finite abelian groups and the Hermite and Smith normal forms of an integer matrix. SIAM J. Comput. 18, 658-669.
-
(1989)
SIAM J. Comput.
, vol.18
, pp. 658-669
-
-
Iliopolous, C.1
-
18
-
-
84968495217
-
On Wiedemann's method of solving sparse linear systems
-
Lecture Notes in Comput. Sci. Springer
-
E. KALTOFEN & B. D. SAUNDERS (1991). On Wiedemann's method of solving sparse linear systems. In Proc. AAECC-9, Lecture Notes in Comput. Sci. 539, Springer, 29-38.
-
(1991)
Proc. AAECC-9
, vol.539
, pp. 29-38
-
-
Kaltofen, E.1
Saunders, B.D.2
-
19
-
-
0001047308
-
Polynomial algorithms for computing the Smith and Hermite normal forms of an integer matrix
-
R. KANNAN & A. BACHEM (1979). Polynomial algorithms for computing the Smith and Hermite normal forms of an integer matrix. SIAM J. Comput. 8, 499-507.
-
(1979)
SIAM J. Comput.
, vol.8
, pp. 499-507
-
-
Kannan, R.1
Bachem, A.2
-
20
-
-
0022052639
-
Fast algorithms for the characteristic polynomial
-
W. KELLER-GEHRIG (1985). Fast algorithms for the characteristic polynomial. Theoret. Comput. Sci. 36, 309-317.
-
(1985)
Theoret. Comput. Sci.
, vol.36
, pp. 309-317
-
-
Keller-Gehrig, W.1
-
23
-
-
84972540003
-
Approximate formulas for some functions of prime numbers
-
J. B. ROSSER & L. SCHOENFELD (1962). Approximate formulas for some functions of prime numbers. Illinois J. Math. 6, 64-94.
-
(1962)
Illinois J. Math.
, vol.6
, pp. 64-94
-
-
Rosser, J.B.1
Schoenfeld, L.2
-
24
-
-
84976779342
-
Fast probabilistic algorithms for verification of polynomial identities
-
J. T. SCHWARTZ (1980). Fast probabilistic algorithms for verification of polynomial identities. J. Assoc. Comput. Mach. 27, 701-717.
-
(1980)
J. Assoc. Comput. Mach.
, vol.27
, pp. 701-717
-
-
Schwartz, J.T.1
-
25
-
-
0000951411
-
On systems of linear indeterminate equations and congruences
-
H. J. S. SMITH (1861). On systems of linear indeterminate equations and congruences. Philos. Trans. Roy. Soc. London 151, 293-326.
-
(1861)
Philos. Trans. Roy. Soc. London
, vol.151
, pp. 293-326
-
-
Smith, H.J.S.1
-
26
-
-
0030401841
-
Near optimal algorithms for computing Smith normal forms of integer matrices
-
A. STORJOHANN (1996). Near optimal algorithms for computing Smith normal forms of integer matrices. In Proceedings of ISSAC'96 (Zürich), 267-274.
-
(1996)
Proceedings of ISSAC'96 (Zürich)
, pp. 267-274
-
-
Storjohann, A.1
-
27
-
-
0003225548
-
Combinatorics: Room squares, sum-free sets, hadamard matrices
-
Springer, Berlin
-
W. D. WALLIS, A. P. STREET & J. SEBERRY WALLIS (eds.) (1972). Combinatorics: Room Squares, Sum-Free Sets, Hadamard Matrices, Lecture Notes in Math. 292, Springer, Berlin.
-
(1972)
Lecture Notes in Math.
, pp. 292
-
-
Wallis, W.D.1
Street, A.P.2
Wallis, J.S.3
-
28
-
-
0022583143
-
Solving sparse linear equations over finite fields
-
D. WIEDEMANN (1986). Solving sparse linear equations over finite fields. IEEE Trans. Informa. Theory IT-32, 54-62.
-
(1986)
IEEE Trans. Informa. Theory
, vol.IT-32
, pp. 54-62
-
-
Wiedemann, D.1
-
29
-
-
84925463455
-
Probabilistic algorithms for sparse polynomials
-
R. ZIPPEL (1979). Probabilistic algorithms for sparse polynomials. In Proceedings EUROSAM 79 (Marseille), 216-226.
-
(1979)
Proceedings EUROSAM 79 (Marseille)
, pp. 216-226
-
-
Zippel, R.1
|