Foundations of Computational Mathematics (eBook, PDF)

Selected Papers of a Conference Held at Rio de Janeiro, January 1997
Redaktion: Cucker, Felipe; Shub, Michael

• Format: PDF

Produktbeschreibung

This proceedings volume of a new mathematical conference contains contributions from all fields of mathematics and theoretical computer science that are concerned with computation. It is a very foward-looking publication with first-rate authors.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 441
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642605390
• Artikelnr.: 53147622

Inhaltsangabe

Computing Roadmaps of Semi-algebraic Sets on a Variety (Extended Abstract).- Essentially Smooth Lipschitz Functions: Compositions and Chain Rules.- Junction Detection and Filtering.- Recognition in Hierarchical Models.- Continuity ?-Algebras (Extended Abstract).- Condition Number Analysis for Sparse Polynomial Systems.- Residues in the Torus and Toric Varieties.- Piecewise Smooth Orthonormal Factors for Fundamental Solution Matrices.- Algorithms for computing finite semigroups.- Extended Grzegorczyk Hierarchy in the BSS Model of Computability.- Affine-Invariant Symmetry Sets.- On the Qualitative Properties of Modified Equations.- Numerical Methods on (and off) Manifolds.- On One Computational Scheme Solving the Nonstationary Schrödinger Equation with Polynomial Nonlinearity.- Newton Iteration Towards a Cluster of Polynomial Zeros.- Szemerédi's Regularity Lemma for Sparse Graphs.- Questions on Attractors of 3-Manifolds.- A Trust-Region SLCP Model Algorithm for Nonlinear Programming.- On the height used by additives BSS machines.- The Space Complexity of Elimination Theory: Upper Bounds.- Global Stochastic Recursive Algorithms.- Dynamical Recognizers: Real-time Language Recognition by Analog Computers (Extended Abstract).- Solving special polynomial systems by using structured matrices and algebraic residues.- Numerical Integration of Differential Equations on Homogeneous Manifolds.- A Convergence proof of an Iterative Subspace Method for Eigenvalues Problems.- Regularity of Minimizers of the Mumford-Shah Functional.- Tests and Constructions of Irreducible Polynomials over Finite Fields.- Numerical Linear Algebra in Optical Imaging.- Explicit symplectic integration of rod dynamics.- Toric Laminations, Sparse Generalized Characteristic Polynomials, and a Refinementof Hilbert's Tenth Problem.- Finite-Dimensional Feedback Control of a Scalar Reaction-Diffusion Equation via Inertial Manifold Theory.- Computational aspects of jacobian matrices.- Rigid body dynamics and measure differential inclusions.- Linear decision lists and partitioning algorithms for the construction of neural networks.- Ill-Posedness and Finite Precision Arithmetic: A Complexity Analysis for Interior Point Methods.- Iterated Commutators, Lie's Reduction Method and Ordinary Differential Equations on Matrix Lie Groups.