-
2
-
-
0003335813
-
Structural complexity I
-
Springer-Verlag, New York
-
BALCÁZAR, J., DÍAZ, J., AND GABARRÓ, J. 1988. Structural complexity I. In EATCS Monographs on Theoretical Computer Science, vol. 11. Springer-Verlag, New York.
-
(1988)
EATCS Monographs on Theoretical Computer Science
, vol.11
-
-
Balcázar, J.1
Díaz, J.2
Gabarró, J.3
-
3
-
-
0002453195
-
On the combinatorial and algebraic complexity of quantifier elimination
-
IEEE Computer Society Press, Los Alamitos, Calif.
-
BASU, S., POLLACK, R., AND ROY, M.-F. 1994. On the combinatorial and algebraic complexity of quantifier elimination. In Proceedings of the 35th Annual IEEE Symposium on Foundations of Computer Science. IEEE Computer Society Press, Los Alamitos, Calif., pp. 632-641.
-
(1994)
Proceedings of the 35th Annual IEEE Symposium on Foundations of Computer Science
, pp. 632-641
-
-
Basu, S.1
Pollack, R.2
Roy, M.-F.3
-
4
-
-
0003615227
-
-
Springer-Verlag, New York
-
BLUM, L., CUCKER, F., SHUB, M., AND SMALE, S. 1998. Complexity and Real Computation. Springer-Verlag, New York.
-
(1998)
Complexity and Real Computation
-
-
Blum, L.1
Cucker, F.2
Shub, M.3
Smale, S.4
-
5
-
-
84968516134
-
On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines
-
BLUM, L., SHUB, M., AND SMALE, S. 1989. On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines. Bull. AMS 21, 1-46.
-
(1989)
Bull. AMS
, vol.21
, pp. 1-46
-
-
Blum, L.1
Shub, M.2
Smale, S.3
-
7
-
-
85029837057
-
Quantifier elimination for real closed fields by cylindrical algebraic decomposition
-
Springer-Verlag, New York
-
COLLINS, G. 1975. Quantifier elimination for real closed fields by cylindrical algebraic decomposition. In Lecture Notes in Computer Science, vol. 33. Springer-Verlag, New York, pp. 134-183.
-
(1975)
Lecture Notes in Computer Science
, vol.33
, pp. 134-183
-
-
Collins, G.1
-
8
-
-
0039324480
-
Models for parallel computations with real numbers
-
I. Shpardinski, ed. World Scientific, River Edge, N.J.
-
CUCKER, F., MONTAÑA, J., AND PARDO, L. 1995. Models for parallel computations with real numbers. In Number Theoretic and Algebraic Methods in Computer Science, I. Shpardinski, ed. World Scientific, River Edge, N.J., pp. 53-63.
-
(1995)
Number Theoretic and Algebraic Methods in Computer Science
, pp. 53-63
-
-
Cucker, F.1
Montaña, J.2
Pardo, L.3
-
9
-
-
0001049080
-
Approximate solutions of numerical problems, condition number analysis and condition number theorem
-
J. Renegar, M. Shub, and S. Smale, eds. Lectures in Applied Mathematics, American Mathematical Society, Providence, R.I.
-
DEDIEU, J.-P. 1996. Approximate solutions of numerical problems, condition number analysis and condition number theorem. In The Mathematics of Numerical Analysis, J. Renegar, M. Shub, and S. Smale, eds. Lectures in Applied Mathematics, vol. 32. American Mathematical Society, Providence, R.I., pp. 263-283.
-
(1996)
The Mathematics of Numerical Analysis
, vol.32
, pp. 263-283
-
-
Dedieu, J.-P.1
-
11
-
-
0004155526
-
-
Addison-Wesley, Reading, Mass.
-
GRAHAM, R., KNUTH, D., AND PATASHNIK, O. 1989. Concrete Mathematics. Addison-Wesley, Reading, Mass.
-
(1989)
Concrete Mathematics
-
-
Graham, R.1
Knuth, D.2
Patashnik, O.3
-
12
-
-
85025493187
-
Solving systems of polynomial inequalities in subexponential time
-
GRIGORIEV, D., AND VOROBJOV, N. 1988. Solving systems of polynomial inequalities in subexponential time. J. Symb. Comput. 5, 37-64.
-
(1988)
J. Symb. Comput.
, vol.5
, pp. 37-64
-
-
Grigoriev, D.1
Vorobjov, N.2
-
13
-
-
0000993667
-
Sur la complexité du principe de Tarski-Seidenberg
-
HEINTZ, J., ROY, M.-F., AND SOLERNÓ, P. 1990. Sur la complexité du principe de Tarski-Seidenberg. Bull. Soc. Math. France 118, 101-126.
-
(1990)
Bull. Soc. Math. France
, vol.118
, pp. 101-126
-
-
Heintz, J.1
Roy, M.-F.2
Solernó, P.3
-
15
-
-
0002556597
-
A general NP-completeness theorem
-
M. Hirsch, J. Marsden, and M. Shub, eds. Springer-Verlag, New York
-
MEGIDDO, N. 1993. A general NP-completeness theorem. In From Topology to Computation: Proceedings of the Smalefest, M. Hirsch, J. Marsden, and M. Shub, eds. Springer-Verlag, New York, pp. 432-442.
-
(1993)
From Topology to Computation: Proceedings of the Smalefest
, pp. 432-442
-
-
Megiddo, N.1
-
17
-
-
85025505234
-
On the computational complexity and geometry of the first-order theory of the reals. Part I
-
RENEGAR, J. 1992. On the computational complexity and geometry of the first-order theory of the reals. Part I. J. Symb. Comput. 13, 255-299.
-
(1992)
J. Symb. Comput.
, vol.13
, pp. 255-299
-
-
Renegar, J.1
-
18
-
-
0012945836
-
Mysteries of mathematics and computation
-
SHUB, M. 1994. Mysteries of mathematics and computation. Math. Int. 16, 10-15.
-
(1994)
Math. Int.
, vol.16
, pp. 10-15
-
-
Shub, M.1
-
19
-
-
84968505377
-
Complexity of Bezout's theorem I: Geometric aspects
-
SHUB, M., AND SMALE, S. 1993a. Complexity of Bezout's theorem I: Geometric aspects. J. AMS. 6, 459-501.
-
(1993)
J. AMS.
, vol.6
, pp. 459-501
-
-
Shub, M.1
Smale, S.2
-
20
-
-
0000537756
-
Complexity of Bezout's theorem II: Volumes and probabilities
-
Computational Algebraic Geometry, F. Eyssette and A. Galligo, eds. Birkhäuser, Boston, Mass.
-
SHUB, M., AND SMALE, S. 1993b. Complexity of Bezout's theorem II: Volumes and probabilities. In Computational Algebraic Geometry, F. Eyssette and A. Galligo, eds. Progress in Mathematics, vol. 109. Birkhäuser, Boston, Mass., pp. 267-285.
-
(1993)
Progress in Mathematics
, vol.109
, pp. 267-285
-
-
Shub, M.1
Smale, S.2
-
21
-
-
0002102930
-
Complexity of Bezout's theorem III: Condition number and packing
-
SHUB, M., AND SMALE, S. 1993c. Complexity of Bezout's theorem III: Condition number and packing. J. Complex. 9, 4-14.
-
(1993)
J. Complex.
, vol.9
, pp. 4-14
-
-
Shub, M.1
Smale, S.2
-
22
-
-
0028516294
-
Complexity of Bezout's theorem V: Polynomial time
-
SHUB, M., AND SMALE, S. 1994. Complexity of Bezout's theorem V: Polynomial time. Theoret. Comput. Sci. 133, 141-164.
-
(1994)
Theoret. Comput. Sci.
, vol.133
, pp. 141-164
-
-
Shub, M.1
Smale, S.2
-
23
-
-
0000675799
-
Complexity of Bezout's theorem IV: Probability of success; extensions
-
SHUB, M., AND SMALE, S. 1996. Complexity of Bezout's theorem IV: Probability of success; extensions. SIAM J. Numer. Anal. 33, 128-148.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 128-148
-
-
Shub, M.1
Smale, S.2
-
24
-
-
0002383975
-
Newton's method estimates from data at one point
-
R. Ewing, K. Gross, and C. Martin, eds. Springer-Verlag, New York
-
SMALE, S. 1986. Newton's method estimates from data at one point. In The Merging of Disciplines: New Directions in Pure, Applied, and Computational Mathematics, R. Ewing, K. Gross, and C. Martin, eds. Springer-Verlag, New York.
-
(1986)
The Merging of Disciplines: New Directions in Pure, Applied, and Computational Mathematics
-
-
Smale, S.1
-
25
-
-
85011523909
-
Complexity theory and numerical analysis
-
Cambridge University Press, Cambridge, England
-
SMALE, S. 1997. Complexity theory and numerical analysis. In Acta Numerica. Cambridge University Press, Cambridge, England, pp. 523-551.
-
(1997)
Acta Numerica
, pp. 523-551
-
-
Smale, S.1
-
28
-
-
0000612851
-
Rounding-off errors in matrix processes
-
TURING, A. 1948. Rounding-off errors in matrix processes. Quart. J. Mech. Appl. Math. 1, 287-308.
-
(1948)
Quart. J. Mech. Appl. Math.
, vol.1
, pp. 287-308
-
-
Turing, A.1
-
29
-
-
0001252659
-
Numerical inverting matrices of high order
-
VON NEUMANN, J., AND GOLDSTINE, H. 1947. Numerical inverting matrices of high order. Bull. AMS. 53, 1021-1099.
-
(1947)
Bull. AMS.
, vol.53
, pp. 1021-1099
-
-
Von Neumann, J.1
Goldstine, H.2
-
30
-
-
84968515320
-
Numerical inverting matrices of high order, II
-
VON NEUMANN, J., AND GOLDSTINE, H. 1951. Numerical inverting matrices of high order, II. Proc. AMS. 2, 188-202.
-
(1951)
Proc. AMS.
, vol.2
, pp. 188-202
-
-
Von Neumann, J.1
Goldstine, H.2
-
32
-
-
0001167652
-
Modern error analysis
-
WILKINSON, J. 1971. Modern error analysis. SIAM Rev. 13, 548-568.
-
(1971)
SIAM Rev.
, vol.13
, pp. 548-568
-
-
Wilkinson, J.1
-
33
-
-
0002998844
-
Ein Entscheidungsverfahren für die Theorie der reell-abgeschlossenen Körper
-
Komplexität von Entscheidungsproblemen, E. Specker and V. Strassen, eds. Springer-Verlag, New York
-
WÜTHRICH, H. 1976. Ein Entscheidungsverfahren für die Theorie der reell-abgeschlossenen Körper. In Komplexität von Entscheidungsproblemen, E. Specker and V. Strassen, eds. Lecture Notes in Computer Science, vol. 43. Springer-Verlag, New York, pp. 138-162.
-
(1976)
Lecture Notes in Computer Science
, vol.43
, pp. 138-162
-
-
Wüthrich, H.1
|