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1.
Jean-Pierre Dedieu Gregorio Malajovich Mike Shub 《Foundations of Computational Mathematics》2005,5(2):145-171
We prove a linear bound on the average total curvature of the
central path of linear programming theory in terms of the number
of independent variables of the primal problem, and independent of
the number of constraints. 相似文献
2.
Newton's method on Riemannian manifolds: covariant alpha theory 总被引:5,自引:0,他引:5
Dedieu Jean-Pierre; Priouret Pierre; Malajovich Gregorio 《IMA Journal of Numerical Analysis》2003,23(3):395-419
In this paper, Smale's theory is generalized to the contextof intrinsic Newton iteration on geodesically complete analyticRiemannian and Hermitian manifolds. Results are valid for analyticmappings from a manifold to a linear space of the same dimension,or for analytic vector fields on the manifold. The invariant is defined by means of high-order covariant derivatives. Boundson the size of the basin of quadratic convergence are given.If the ambient manifold has negative sectional curvature, thosebounds depend on the curvature. A criterion of quadratic convergencefor Newton iteration from the information available at a pointis also given. 相似文献
3.
We describe a new algorithm for localizing the real roots of a polynomialP(x). This algorithm determines intervals on whichP(x) does not possess any root. The remainder set contains the real roots ofP(x) and can be arbitrarily small. 相似文献
4.
Adler Roy L.; Dedieu Jean-Pierre; Margulies Joseph Y.; Martens Marco; Shub Mike 《IMA Journal of Numerical Analysis》2002,22(3):359-390
To study a geometric model of the human spine we are led tofinding a constrained minimum of a real valued function definedon a product of special orthogonal groups. To take advantgeof its Lie group structure we consider Newton's method on thismanifold. Comparisons between measured spines and computed spinesshow the pertinence of this approach. 相似文献
5.
O. Mondain-Monval J.C. Dedieu T. Gulik-Krzywicki P. Poulin 《The European Physical Journal B - Condensed Matter and Complex Systems》1999,12(2):167-170
The role of surface energy in the behavior of colloidal particles in liquid crystalline phases is investigated. When the surface
energy dominates, a hedgehog defect is formed and, according to an electrostatic analogy, the distortions around the particles
exhibit a dipolar character. By contrast, for weaker anchoring, the configuration becomes quadrupolar as evidenced by the
structure of latex clusters in lyotropic systems and the observation of defects reminiscent of Saturn rings in thermotropic
systems.
Received 21 June 1999 相似文献
6.
Ciro Ciliberto Thomas Dedieu Concettina Galati Andreas Leopold Knutsen 《Mathematische Nachrichten》2023,296(2):574-587
We prove that certain Severi varieties of nodal curves of positive genus on general blow-ups of the twofold symmetric product of a general elliptic curve are nonempty and smooth of the expected dimension. This result, besides its intrinsic value, is an important preliminary step for the proof of nonemptiness of Severi varieties on general Enriques surfaces. 相似文献
7.
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9.
Michel Dedieu Yves-Louis Pascal Pierre Dizabo Jean-Jacques Basselier 《Journal of mass spectrometry : JMS》1977,12(3):153-158
The mass spectra of the title compounds always show an intense molecular ion. Some fissions involve loss of the ethylenic group, while others are related to cleavage of the dithiane ring, eventually followed by recyclizations involving the ethylenic chain stabilized by the resonance possibilities. If a phenyl group is present in the ethylenic chain, the spectra are modified by the formation of the very stable benzothiopyrylium ion. 相似文献
10.