-
2
-
-
0001308767
-
On the theories of triangular sets
-
Aubry, P., Lazard, D., Moreno Maza, M. (1999). On the theories of triangular sets. J. Symb. Comput., 28, 105-124.
-
(1999)
J. Symb. Comput.
, vol.28
, pp. 105-124
-
-
Aubry, P.1
Lazard, D.2
Moreno Maza, M.3
-
3
-
-
0002820505
-
Some examples for solving systems of algebraic equations by calculating Gröbner bases
-
Boege, W., Gebauer, R., Kredel, H. (1986). Some examples for solving systems of algebraic equations by calculating Gröbner bases. J. Symb. Comput., 2, 83-98.
-
(1986)
J. Symb. Comput.
, vol.2
, pp. 83-98
-
-
Boege, W.1
Gebauer, R.2
Kredel, H.3
-
4
-
-
0004088176
-
-
Oxford, U.K., NAG, The Numerical Algorithms Group Limited. AXIOM is a registered trade mark of NAG
-
st edn. Oxford, U.K., NAG, The Numerical Algorithms Group Limited. AXIOM is a registered trade mark of NAG.
-
(1994)
st Edn.
-
-
Broadbery, P.A.1
Dooley, S.S.2
Iglio, P.3
Morisson, S.C.4
Steinbach, J.M.5
Sutor, R.S.6
Watt, S.M.7
-
5
-
-
0010082941
-
Gsolve: A faster algorithm for solving systems of algebraic equations
-
Char, B. W., ed., New York, ACM Press
-
Bronstein, M. (1986). Gsolve: a faster algorithm for solving systems of algebraic equations. In Char, B. W., ed., Proceedings SYMSAC86, pp. 247-249. New York, ACM Press.
-
(1986)
Proceedings SYMSAC86
, pp. 247-249
-
-
Bronstein, M.1
-
8
-
-
84962670416
-
Ritt-Wu's decomposition algorithm and geometry theorem proving
-
LNCS Springer Verlag
-
Chou, S., Gao, X. (1990). Ritt-Wu's decomposition algorithm and geometry theorem proving. In Proceedings CADE-10, Kaiserslautern, Germany, LNCS 449, pp. 207-220, Springer Verlag.
-
(1990)
Proceedings CADE-10, Kaiserslautern, Germany
, vol.449
, pp. 207-220
-
-
Chou, S.1
Gao, X.2
-
9
-
-
84962715458
-
Solving parametric algebraic systems
-
ACM Press, New York
-
Chou, S., Gao, X. (1992). Solving parametric algebraic systems. In Proceedings ISAAC'92 Berkeley, CA, pp. 335-341, ACM Press, New York.
-
(1992)
Proceedings ISAAC'92 Berkeley, CA
, pp. 335-341
-
-
Chou, S.1
Gao, X.2
-
10
-
-
0031232403
-
Converting bases with the Gröbner walk
-
Collart, S., Kalkbrener, M., Mall, D. (1997). Converting bases with the Gröbner walk. J. Symb. Comput., 24, 465-470.
-
(1997)
J. Symb. Comput.
, vol.24
, pp. 465-470
-
-
Collart, S.1
Kalkbrener, M.2
Mall, D.3
-
11
-
-
0003908675
-
-
New York, Springer-Verlag
-
Cox, D., Little, J., O'Shea, D. (1992). Ideals, Varieties, and Algorithms. New York, Springer-Verlag.
-
(1992)
Ideals, Varieties, and Algorithms
-
-
Cox, D.1
Little, J.2
O'Shea, D.3
-
12
-
-
0010071304
-
On implementing Buchberger's algorithm for Gröbner bases
-
Waterloo, B.W. Char
-
Czapor, S., Geddes, K. (1986). On implementing Buchberger's algorithm for Gröbner bases. In Proceedings SYMSAC'86, pp. 425-440. Waterloo, B.W. Char.
-
(1986)
Proceedings SYMSAC'86
, pp. 425-440
-
-
Czapor, S.1
Geddes, K.2
-
13
-
-
85025486043
-
About a new method method for computing in algebraic number fields
-
LNCS 204, Springer-Verlag
-
Della Dora, J., Discrescenzo, C., Duval, D. (1985). About a new method method for computing in algebraic number fields. In Proceedings EUROCAL 85, volume 2, LNCS 204, pp. 289-290. Springer-Verlag.
-
(1985)
Proceedings EUROCAL 85
, vol.2
, pp. 289-290
-
-
Della Dora, J.1
Discrescenzo, C.2
Duval, D.3
-
14
-
-
85031678378
-
Experimenting the Gröbner basis algorithm with the ALPI system
-
New York, ACM Press
-
Donati, L., Traverso, C. (1989). Experimenting the Gröbner basis algorithm with the ALPI system. Proceedings ISSAC'89, pp. 192-198. New York, ACM Press.
-
(1989)
Proceedings ISSAC'89
, pp. 192-198
-
-
Donati, L.1
Traverso, C.2
-
15
-
-
9144225010
-
-
Esprit Scheme Project No. 6846. Has been extended to the FRISCO project
-
European Commission (1992). PoSSo - Polynomial System Solving Research Project. Esprit Scheme Project No. 6846. Has been extended to the FRISCO project.
-
(1992)
PoSSo - Polynomial System Solving Research Project
-
-
-
17
-
-
25944479355
-
Efficient computation of zero-dimensional Gröbner bases by change of ordering
-
Faugère, J.-C., Gianni, P., Lazard, D., Mora, T. (1993). Efficient computation of zero-dimensional Gröbner bases by change of ordering. J. Symb. Comput., 16, 329-344.
-
(1993)
J. Symb. Comput.
, vol.16
, pp. 329-344
-
-
Faugère, J.-C.1
Gianni, P.2
Lazard, D.3
Mora, T.4
-
18
-
-
9144273964
-
Design of nonseparable bidimensional wavelets and filter banks using Gröbner bases techniques
-
Theory and Applications of Filter Banks and Wavelets
-
Faugère, J.-C., Moreau de Saint-Martin, F., Rouillier, F. (1998). Design of nonseparable bidimensional wavelets and filter banks using Gröbner bases techniques. IEEE SP Trans. Signal Process., 46. Special Issue on Theory and Applications of Filter Banks and Wavelets.
-
(1998)
IEEE SP Trans. Signal Process.
, vol.46
, Issue.SPEC. ISSUE
-
-
Faugère, J.-C.1
Moreau De Saint-Martin, F.2
Rouillier, F.3
-
19
-
-
0010070016
-
Efficient algorithms and bounds for Wu-Ritt characteristic sets
-
Proceedings MEGA'90, Lavorno, Italy, Birkhaüser
-
Gallo, G., Mishra, B. (1990). Efficient algorithms and bounds for Wu-Ritt characteristic sets. Proceedings MEGA'90, Lavorno, Italy, Progress in Mathematics 94, pp. 119-142, Birkhaüser.
-
(1990)
Progress in Mathematics
, vol.94
, pp. 119-142
-
-
Gallo, G.1
Mishra, B.2
-
21
-
-
85033813724
-
"One sugar cube, please" or selection strategies in the Buchberger algorithm
-
New York, ACM Press
-
Giovinni, A., Mora, T., Niesi, G., Robbiano, L., Traverso, C. (1991). "One sugar cube, please" or selection strategies in the Buchberger algorithm. In Proceedings ISSAC'91, pp. 49-54. New York, ACM Press.
-
(1991)
Proceedings ISSAC'91
, pp. 49-54
-
-
Giovinni, A.1
Mora, T.2
Niesi, G.3
Robbiano, L.4
Traverso, C.5
-
23
-
-
9144225614
-
The ROMIN inverse geometric model and the dynamic evaluation method
-
Cohen, A. M., ed., New York, Wiley
-
González-López, M., Recio, T. (1993). The ROMIN inverse geometric model and the dynamic evaluation method. In Cohen, A. M., ed., Proceedings of the 1991 SCAFI Seminar, Computer Algebra in Industry. New York, Wiley.
-
(1993)
Proceedings of the 1991 SCAFI Seminar, Computer Algebra in Industry
-
-
González-López, M.1
Recio, T.2
-
24
-
-
3643088632
-
Triangular systems and factorized Gröbner bases
-
Cohen, G., Giusti, M. and Mora, T., eds, LNCS Springer Verlag
-
Gräbe, H.-G. (1995). Triangular systems and factorized Gröbner bases. In Proceedings AAECC 11, Paris, Cohen, G., Giusti, M. and Mora, T., eds, LNCS 948, pp. 248-261, Springer Verlag.
-
(1995)
Proceedings AAECC 11, Paris
, vol.948
, pp. 248-261
-
-
Gräbe, H.-G.1
-
25
-
-
0022476533
-
A superexponential lower bound for Gröbner bases and Church Rosser commutative thue systems
-
Huynh, D. (1986). A superexponential lower bound for Gröbner bases and Church Rosser commutative thue systems. Inf. Control, 68, 196-206.
-
(1986)
Inf. Control
, vol.68
, pp. 196-206
-
-
Huynh, D.1
-
26
-
-
0003874272
-
-
New York, Springer-Verlag. AXIOM is a trade mark of NAG Ltd, Oxford UK
-
Jenks, R. D., Sutor, R. S. (1992). AXIOM, The Scientific Computation System. New York, Springer-Verlag. AXIOM is a trade mark of NAG Ltd, Oxford UK.
-
(1992)
AXIOM, the Scientific Computation System
-
-
Jenks, R.D.1
Sutor, R.S.2
-
29
-
-
38249006658
-
A generalized Euclidean algorithm for computing triangular representations of algebraic varieties
-
Kalkbrener, M. (1993). A generalized Euclidean algorithm for computing triangular representations of algebraic varieties. J. Symb. Comput., 15, 143-167.
-
(1993)
J. Symb. Comput.
, vol.15
, pp. 143-167
-
-
Kalkbrener, M.1
-
30
-
-
0032210403
-
Algorithmic properties of polynomial rings
-
Kalkbrener, M. (1998). Algorithmic properties of polynomial rings. J. Symb. Comput., 26, 525-581.
-
(1998)
J. Symb. Comput.
, vol.26
, pp. 525-581
-
-
Kalkbrener, M.1
-
32
-
-
0000069912
-
A new method for solving algebraic systems of positive dimension
-
Lazard, D. (1991). A new method for solving algebraic systems of positive dimension. Discrete Appl. Math., 33, 147-160.
-
(1991)
Discrete Appl. Math.
, vol.33
, pp. 147-160
-
-
Lazard, D.1
-
33
-
-
0000167385
-
Solving zero-dimensional algebraic systems
-
Lazard, D. (1992). Solving zero-dimensional algebraic systems. J. Symb. Comput., 15, 117-132.
-
(1992)
J. Symb. Comput.
, vol.15
, pp. 117-132
-
-
Lazard, D.1
-
34
-
-
9144234304
-
An implementation of the characteristic set method for solving algebraic equations
-
Université Paris 6
-
Li, Z. (1995). An implementation of the characteristic set method for solving algebraic equations. In Proceedings POSSO Workshop on Software, Paris, France, Université Paris 6, pp. 107-122.
-
(1995)
Proceedings POSSO Workshop on Software, Paris, France
, pp. 107-122
-
-
Li, Z.1
-
35
-
-
9144225994
-
An algorithm on finding all isolated zeros of polynomial equations
-
Liu, Z. (1989). An algorithm on finding all isolated zeros of polynomial equations. MM Research Preprints, 4, 63-76.
-
(1989)
MM Research Preprints
, vol.4
, pp. 63-76
-
-
Liu, Z.1
-
36
-
-
0001751788
-
The complexity of the word problems for commutative semigroups and ideals
-
Mayr, E., Meyer, A. (1982). The complexity of the word problems for commutative semigroups and ideals. Adv. Math., 46, 305-329.
-
(1982)
Adv. Math.
, vol.46
, pp. 305-329
-
-
Mayr, E.1
Meyer, A.2
-
37
-
-
0001332043
-
On decomposing systems of polynomial equations with finitely many solutions
-
Möller, H. M. (1993). On decomposing systems of polynomial equations with finitely many solutions. Appl. Algebra Eng. Commun. Comput., 4 217-230.
-
(1993)
Appl. Algebra Eng. Commun. Comput.
, vol.4
, pp. 217-230
-
-
Möller, H.M.1
-
39
-
-
0005430478
-
A new algorithm for computing triangular decompositions of algebraic varieties
-
NAG Ltd, Oxford, U.K.
-
Moreno Maza, M. (1998). A new algorithm for computing triangular decompositions of algebraic varieties. Technical Report TR 4/98, NAG Ltd, Oxford, U.K.
-
(1998)
Technical Report TR 4/98
-
-
Moreno Maza, M.1
-
40
-
-
84955583152
-
Polynomial gcd computations over towers of algebraic extensions
-
Springer
-
Moreno Maza, M., Rioboo, R. (1995). Polynomial gcd computations over towers of algebraic extensions. Proceedings AAECC-11, pp. 365-382. Springer.
-
(1995)
Proceedings AAECC-11
, pp. 365-382
-
-
Moreno Maza, M.1
Rioboo, R.2
-
44
-
-
0030268743
-
Hilbert functions and the Buchberger algorithm
-
Traverso, C. (1996). Hilbert functions and the Buchberger algorithm. J. Symb. Comput., 22, 355-376.
-
(1996)
J. Symb. Comput.
, vol.22
, pp. 355-376
-
-
Traverso, C.1
-
45
-
-
0041776563
-
On Wu's method for solving systems of algebraic equations
-
Johannes Kepler University, Linz, Austria
-
Wang, D. M. (1991). On Wu's method for solving systems of algebraic equations. Technical Report RISC-LINZ Series no 91-52.0, Johannes Kepler University, Linz, Austria.
-
(1991)
Technical Report RISC-LINZ Series No 91-52.0
-
-
Wang, D.M.1
-
46
-
-
9144263181
-
Some improvements on Wu's method for solving systems of algebraic equations
-
Wu, W.-T. and Cheng, M.-D., eds, Institute of Systems Science, Academia Sinica
-
Wang, D. M. (1992). Some improvements on Wu's method for solving systems of algebraic equations. In Wu, W.-T. and Cheng, M.-D., eds, Proceedings of the Int. Workshop on Math. Mechanisation, Beijing, China. Institute of Systems Science, Academia Sinica.
-
(1992)
Proceedings of the Int. Workshop on Math. Mechanisation, Beijing, China
-
-
Wang, D.M.1
-
47
-
-
0346297660
-
An elimination method based on Siedenberg's theory and its applications
-
Eysette, F. and Galligo, A., eds, Boston, Birkhaüser
-
Wang, D. M. (1993a). An elimination method based on Siedenberg's theory and its applications. In Eysette, F. and Galligo, A., eds, Comptutational Algebraic Geometry, pp. 301-328. Boston, Birkhaüser.
-
(1993)
Comptutational Algebraic Geometry
, pp. 301-328
-
-
Wang, D.M.1
-
48
-
-
0003161187
-
An elimination method for polynomial systems
-
Wang, D. M. (1993b). An elimination method for polynomial systems. J. Symb. Comput., 16, 83-114.
-
(1993)
J. Symb. Comput.
, vol.16
, pp. 83-114
-
-
Wang, D.M.1
-
49
-
-
0000370913
-
An implementation of the characteristic set method in Maple
-
Pfalzgraf, J. and Wang, D. M., eds, Wien, Springer
-
Wang, D. M. (1995). An implementation of the characteristic set method in Maple. In Pfalzgraf, J. and Wang, D. M., eds, Automated Practical Reasoning: Algebraic Approaches, pp. 187-201. Wien, Springer.
-
(1995)
Automated Practical Reasoning: Algebraic Approaches
, pp. 187-201
-
-
Wang, D.M.1
-
50
-
-
0030285766
-
Solving polynomial equations: Characteristic sets and triangular systems
-
Wang, D. M. (1996). Solving polynomial equations: characteristic sets and triangular systems. Math. Comput. Simul., 42, 339-345.
-
(1996)
Math. Comput. Simul.
, vol.42
, pp. 339-345
-
-
Wang, D.M.1
-
51
-
-
0032016328
-
Decomposing polynomial systems into simple systems
-
Wang, D. M. (1998). Decomposing polynomial systems into simple systems. J. Symb. Comput., 25, 295-314.
-
(1998)
J. Symb. Comput.
, vol.25
, pp. 295-314
-
-
Wang, D.M.1
-
52
-
-
0002557822
-
On zeros of algebraic equations - An application of Ritt principle
-
Wu, W. T. (1986). On zeros of algebraic equations - an application of Ritt principle. Kexue Tongbao, 31, 1-5.
-
(1986)
Kexue Tongbao
, vol.31
, pp. 1-5
-
-
Wu, W.T.1
-
53
-
-
0002971341
-
A zero structure theorem for polynomial equations solving
-
Wu, W. T. (1987). A zero structure theorem for polynomial equations solving. MM Research Preprints, 1, 2-12.
-
(1987)
MM Research Preprints
, vol.1
, pp. 2-12
-
-
Wu, W.T.1
-
54
-
-
0342478350
-
Searching dependency between algebraic equations: An algorithm applied to automated reasoning
-
Johnson, J., McKee, S. and Vella, A., eds, Oxford, Oxford University Press
-
Yang, L., Zhang, J. (1994). Searching dependency between algebraic equations: an algorithm applied to automated reasoning. In Johnson, J., McKee, S. and Vella, A., eds, Artificial Intelligence in Mathematics, pp. 147-156. Oxford, Oxford University Press.
-
(1994)
Artificial Intelligence in Mathematics
, pp. 147-156
-
-
Yang, L.1
Zhang, J.2
|