Foundations of Computational Mathematics, Volume 6

Volume 6, Number 1, February 2006

• Ronald A. DeVore, Gerard Kerkyacharian, Dominique Picard, Vladimir N. Temlyakov:
  Approximation Methods for Supervised Learning. 3-58
  
• James Renegar:
  Hyperbolic Programs, and Their Derivative Relaxations. 59-79
  
• Martin Avendano, Teresa Krick, Ariel Pacetti:
  Newton-Hensel Interpolation Lifting. 82-120
  
• Anthony M. Bloch, Arieh Iserles:
  On an Isospectral Lie-Poisson System and Its Lie Algebra. 121-144
  

Volume 6, Number 2, April 2006

• Steve Smale, Yuan Yao:
  Online Learning Algorithms. 145-170
  
• Qiang Wu, Yiming Ying, Ding-Xuan Zhou:
  Learning Rates of Least-Square Regularized Regression. 171-192
  
• Sergio Amat, Rosa Donat, Jacques Liandrat, J. Carlos Trillo:
  Analysis of a New Nonlinear Subdivision Scheme. Applications in Image Processing. 193-225
  
• Emmanuel J. Candès, Justin K. Romberg:
  Quantitative Robust Uncertainty Principles and Optimally Sparse Decompositions. 227-254
  
• Martin N. Huxley, Jovisa D. Zunic:
  Different Digitisations of Displaced Discs. 255-268
  

Volume 6, Number 3, July 2006

• Peter J. Vassiliou:
  Efficient Construction of Contact Coordinates for PartialProlongations. 269-308
  
• Katsiaryna Krupchyk, Werner M. Seiler, Jukka Tuomela:
  Overdetermined Elliptic Systems. 309-351
  
• Ian G. Lisle, Gregory J. Reid:
  Symmetry Classification Using Noncommutative Invariant Differential Operators. 353-386
  

Volume 6, Number 4, November 2006

• A. Murua:
  The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series. 387-426
  
• Suzanne Lynch Hruska:
  A Numerical Method for Constructing the Hyperbolic Structure of Complex Henon Mappings. 427-455
  
• Marian Mrozek:
  Index Pairs Algorithms. 457-493
  
• Daniel Wilczak:
  The Existence of Shilnikov Homoclinic Orbits in the Michelson System: A Computer Assisted Proof. 495-535