Registro:

Referencias:

• Arnold, V., Varchenko, A., Goussein-Zadé, S., (1986) Singularités Des Aplications Différentiables, , Moscow: Mir
• Beltrán, C., A continuation method to solve polynomial systems and its complexity (2011) Numer. Math., 117 (1), pp. 89-113
• Beltrán, C., Dedieu, J.P., Malajovich, G., Shub, M., Convexity properties of the condition number (2010) SIAM. J. Matrix Anal. & Appl., 31 (6), pp. 1491-1506
• Beltrán, C., Dedieu, J.P., Malajovich, G., Shub, M., Convexity properties of the condition number II, to appear SIAM J. Matrix Anal. Appl.
• Beltrán, C., Leykin, A., Certified numerical homotopy tracking (2012) Exp. Math., 21 (1), pp. 69-83
• Beltrán, C., Pardo, L.M., Fast linear homotopy to find approximate zeros of polynomial systems (2011) Found. Comput. Math., 11 (1), pp. 95-129
• Beltrán, C., Pardo, L.M., On Smale's 17th problem: a probabilistic positive solution (2008) Found. Comput. Math., 8 (1), pp. 1-43
• Beltrán, C., Pardo, L.M., Smale's 17th problem: average polynomial time to compute affine and projective solutions (2009) J. Am. Math. Soc., 22, pp. 363-385
• Beltrán, C., Shub, M., Complexity of Bezout's theorem VII: distance estimates in the condition metric (2009) Found. Comput. Math., 9 (2), pp. 179-195
• Blum, L., Cucker, F., Shub, M., Smale, S., (1998) Complexity and Real Computation, , New York: Springer
• Borges, C.E., Pardo, L.M., On the probability distribution of data at points in real complete intersection varieties (2008) J. Complex., 24 (4), pp. 492-523
• Bürgisser, P., Cucker, F., On a problem posed by Steve Smale (2011) Ann. Math., 174 (3), pp. 1785-1836. , arXiv:0909.2114
• Dedieu, J.-P., Malajovich, G., Shub, M., Adaptative step size selection for homotopy methods to solve polynomial equations IMA J. Numer. Anal., , doi: 10. 1093/imanum/drs007
• Demmel, J.W., The geometry of ill-conditioning (1987) J. Complex., 3 (2), pp. 201-229
• Eckart, C., Young, G., The approximation of one matrix by another of lower rank (1936) Psychometrika, 1, pp. 211-218
• Hartman, P., On local homeomorphisms of Euclidean spaces (1960) Bol. Soc. Mat. Mexicana, 2 (5), pp. 220-241
• Hatcher, A., (2002) Algebraic Topology, , Cambridge: Cambridge University Press
• Hirsch, M.W., Pugh, C.C., Shub, M., (1977) Invariant Manifolds, 583. , Lecture Notes in Mathematics, Berlin: Springer
• Husemoller, D., (1975) Fibre Bundles, 20. , 2nd edn., Graduate Texts in Mathematics, New York: Springer
• McSwiggen, P.D., A geometric characterization of smooth linearizability (1996) Mich. Math. J., 43 (2), pp. 321-335
• Mumford, D., (1976) Algebraic Geometry. I, 221. , Grundlehren der Mathematischen WissenschaftenComplex projective varieties, Berlin: Springer
• Pugh, C., Shub, M., Linearization of normally hyperbolic diffeomorphisms and flows (1970) Invent. Math., 10, pp. 187-198
• Udrişte, C., (1994) Convex Functions and Optimization Methods on Riemannian Manifolds, , Dordrecht: Kluwer Academic
• Shub, M., Smale, S., Complexity of Bézout's theorem. I. Geometric aspects (1993) J. Am. Math. Soc., 6 (2), pp. 459-501
• Shub, M., Smale, S., Complexity of Bezout's theorem. IV. Probability of success; extensions (1996) SIAM J. Numer. Anal., 33 (1), pp. 128-148
• Shub, M., Smale, S., Complexity of Bezout's theorem. V. Polynomial time (1994) Theor. Comput. Sci., 133 (1), pp. 141-164. , Selected papers of the Workshop on Continuous Algorithms and Complexity (Barcelona, 1993)
• Shub, M., Complexity of Bézout's theorem. VI: Geodesics in the condition (number) metric (2009) Found. Comput. Math., 9 (2), pp. 171-178
• Shub, M., (1987) Global Stability of Dynamical Systems, , With the collaboration of Albert Fathi and Rémi Langevin, Translated from the French by Joseph Christy, New York: Springer
• Wasserman, A.G., Equivariant differential topology (1969) Topology, 8, pp. 127-150

Citas:

---------- APA ----------

---------- CHICAGO ----------

---------- MLA ----------

---------- VANCOUVER ----------