-
1
-
-
0030291482
-
On the combinatorial and algebraic complexity of Quantifier Elimination
-
MR 98c:03077
-
S. BASU, R. POLLACK, M.-F. ROY On the combinatorial and algebraic complexity of Quantifier Elimination, J. Assoc. Comput. Machin., 43, 1002-1045, (1996). MR 98c:03077
-
(1996)
J. Assoc. Comput. Machin.
, vol.43
, pp. 1002-1045
-
-
Basu, S.1
Pollack, R.2
Roy, M.-F.3
-
3
-
-
0031094481
-
On Computing a Set of Points meeting every Semi-algebraically Connected Component of a Family of Polynomials on a Variety
-
MR 98d:14071
-
S. BASU, R. POLLACK, M.-F. ROY On Computing a Set of Points meeting every Semi-algebraically Connected Component of a Family of Polynomials on a Variety, J. Complexity, Vol 13, Number 1, 28-37 (1997). MR 98d:14071
-
(1997)
J. Complexity
, vol.13
, Issue.1
, pp. 28-37
-
-
Basu, S.1
Pollack, R.2
Roy, M.-F.3
-
4
-
-
0040172679
-
Computing Roadmaps of Semi-algebraic Sets on a Variety
-
F. Cucker and M. Shub, Eds., CMP 99:05
-
S. BASU, R. POLLACK, M.-F. ROY Computing Roadmaps of Semi-algebraic Sets on a Variety, Foundations of Computational Mathematics, F. Cucker and M. Shub, Eds., 1-15, (1997). CMP 99:05
-
(1997)
Foundations of Computational Mathematics
, pp. 1-15
-
-
Basu, S.1
Pollack, R.2
Roy, M.-F.3
-
7
-
-
0004987741
-
Computing road maps in general semi-algebraic sets
-
MR 94i:68108
-
J. CANNY, Computing road maps in general semi-algebraic sets, The Computer Journal, 36: 504-514, (1993). MR 94i:68108
-
(1993)
The Computer Journal
, vol.36
, pp. 504-514
-
-
Canny, J.1
-
8
-
-
0041006567
-
Finding connected components of a semi-algebraic set in subexponential time
-
MR 95m:03078
-
J. CANNY, D. GRIGOR'EV, N. VOROBJOV Finding connected components of a semi-algebraic set in subexponential time, Applic. Alg. Eng. Comput. 2: 217-238 (1992). MR 95m:03078
-
(1992)
Applic. Alg. Eng. Comput.
, vol.2
, pp. 217-238
-
-
Canny, J.1
Grigor'ev, D.2
Vorobjov, N.3
-
9
-
-
85029837057
-
Quantifier elimination for real closed fields by cylindrical algebraic decomposition
-
Autom. Theor. form. Lang., 2nd GI Conf., Kaiserslautern 1975, MR 53:7771
-
G. E. COLLINS, Quantifier elimination for real closed fields by cylindrical algebraic decomposition, Autom. Theor. form. Lang., 2nd GI Conf., Kaiserslautern 1975, Lect. Notes Comput. Sci. 33, 134-183 (1975). MR 53:7771
-
(1975)
Lect. Notes Comput. Sci.
, vol.33
, pp. 134-183
-
-
Collins, G.E.1
-
10
-
-
0001560099
-
Thom's lemma, the coding of real algebraic numbers and the topology of semi-algebraic sets
-
MR 89g:12002
-
M. COSTE, M.-F. ROY Thom's lemma, the coding of real algebraic numbers and the topology of semi-algebraic sets, J. Symb. Comput. 5, No.1/2, 121-129 (1988). MR 89g:12002
-
(1988)
J. Symb. Comput.
, vol.5
, Issue.1-2
, pp. 121-129
-
-
Coste, M.1
Roy, M.-F.2
-
11
-
-
0000514209
-
Nash triviality in families of Nash manifolds
-
MR 93e:14066
-
M. COSTE, M. SHIOTA Nash triviality in families of Nash manifolds, Invent. Math. 108, 349-368 (1992). MR 93e:14066
-
(1992)
Invent. Math.
, vol.108
, pp. 349-368
-
-
Coste, M.1
Shiota, M.2
-
12
-
-
0039324762
-
Counting connected components of a semi-algebraic set in subexponential time
-
MR 94a:68062
-
D. GRIGOR'EV, N. VOROBJOV Counting connected components of a semi-algebraic set in subexponential time, Comput. Complexity 2, No.2, 133-186 (1992). MR 94a:68062
-
(1992)
Comput. Complexity
, vol.2
, Issue.2
, pp. 133-186
-
-
Grigor'ev, D.1
Vorobjov, N.2
-
13
-
-
0005441159
-
Construction of roadmaps of semi-algebraic sets
-
MR 94j:14049
-
L. GOURNAY, J. J. RISLER Construction of roadmaps of semi-algebraic sets, Appl. Algebra Eng. Commun. Comput. 4, No.4, 239-252 (1993). MR 94j:14049
-
(1993)
Appl. Algebra Eng. Commun. Comput.
, vol.4
, Issue.4
, pp. 239-252
-
-
Gournay, L.1
Risler, J.J.2
-
14
-
-
0001252807
-
Semi-algebraic Local Triviality in Semi-algebraic Mappings
-
MR 81d:32012
-
R. M. HARDT Semi-algebraic Local Triviality in Semi-algebraic Mappings, Am. J. Math. 102, 291-302 (1980). MR 81d:32012
-
(1980)
Am. J. Math.
, vol.102
, pp. 291-302
-
-
Hardt, R.M.1
-
15
-
-
84907347923
-
Single exponential path finding in semi-algebraic sets I: The case of a regular hypersurface
-
Proc.AAECC-8 Tokyo
-
J. HEINTZ, M.-F. ROY, P. SOLERNÒ Single exponential path finding in semi-algebraic sets I: The case of a regular hypersurface, Discrete and Applied Math., Proc.AAECC-8 Tokyo, 1990; Lectures Notes in Comp. Sci. 508, Springer-Verlag 180-186 (1991). MR 92j:14072
-
(1990)
Discrete and Applied Math.
-
-
Heintz, J.1
Roy, M.-F.2
Solernò, P.3
-
16
-
-
84907347923
-
-
Springer-Verlag MR 92j:14072
-
J. HEINTZ, M.-F. ROY, P. SOLERNÒ Single exponential path finding in semi-algebraic sets I: The case of a regular hypersurface, Discrete and Applied Math., Proc.AAECC-8 Tokyo, 1990; Lectures Notes in Comp. Sci. 508, Springer-Verlag 180-186 (1991). MR 92j:14072
-
(1991)
Lectures Notes in Comp. Sci.
, vol.508
, pp. 180-186
-
-
-
17
-
-
0005390453
-
Single exponential path finding in semi-algebraic sets II : The general case
-
Bajaj, Chandrajit L. (ed.), Collections of papers from Shreeram S. Abhyankar's 60th birthday conference held at Purdue University, West Lafayette, IN, USA, June 1-4, 1990. New York: Springer-Verlag, MR 951:14054
-
J. HEINTZ, M.-F. ROY, P. SOLERNÒ Single exponential path finding in semi-algebraic sets II : The general case, Bajaj, Chandrajit L. (ed.), Algebraic geometry and its applications. Collections of papers from Shreeram S. Abhyankar's 60th birthday conference held at Purdue University, West Lafayette, IN, USA, June 1-4, 1990. New York: Springer-Verlag, 449-465 (1994). MR 951:14054
-
(1994)
Algebraic Geometry and Its Applications
, pp. 449-465
-
-
Heintz, J.1
Roy, M.-F.2
Solernò, P.3
-
19
-
-
0004190360
-
-
Princeton: Princeton Univ. Press MR 29:634
-
J. MILNOR Morse Theory, Princeton: Princeton Univ. Press (1963). MR 29:634
-
(1963)
Morse Theory
-
-
Milnor, J.1
-
20
-
-
84931458044
-
On the computational complexity and geometry of the first order theory of the reals, parts I, II and III
-
MR 93h:03011a; MR 93h:03011b; MR 93h:03011c
-
J. RENEGAR On the computational complexity and geometry of the first order theory of the reals, parts I, II and III., J. Symb. Comput., 13 (3) 255-352, (1992). MR 93h:03011a; MR 93h:03011b; MR 93h:03011c
-
(1992)
J. Symb. Comput.
, vol.13
, Issue.3
, pp. 255-352
-
-
Renegar, J.1
-
21
-
-
0000076609
-
Finding at least a point in each connected component of a real algebraic set defined by a single equation
-
to appear
-
F. ROUILLIER, M.-F. ROY, M. SAFEY Finding at least a point in each connected component of a real algebraic set defined by a single equation, to appear in Journal of Complexity.
-
Journal of Complexity
-
-
Rouillier, F.1
Roy, M.-F.2
Safey, M.3
-
22
-
-
0013298871
-
Finding irreducible components of some real transcendental varieties
-
MR 95g:68056
-
M.-F. ROY, N.N. VOROBJOV Finding irreducible components of some real transcendental varieties, Journal of Computationnal Complexity 4 107-132 (1994). MR 95g:68056
-
(1994)
Journal of Computationnal Complexity
, vol.4
, pp. 107-132
-
-
Roy, M.-F.1
Vorobjov, N.N.2
-
24
-
-
0347647219
-
On the 'piano movers' problem II. General techniques for computing topological properties of real algebraic manifolds
-
MR 85h:52014
-
J. SCHWARTZ, M. SHARIR On the 'piano movers' problem II. General techniques for computing topological properties of real algebraic manifolds, Adv. Appl. Math. 4, 298-351 (1983). MR 85h:52014
-
(1983)
Adv. Appl. Math.
, vol.4
, pp. 298-351
-
-
Schwartz, J.1
Sharir, M.2
|