Foundations of Computational Mathematics, Volume 2

Volume 2, Number 1, 2002

• D. Castro, José Luis Montaña, Luis Miguel Pardo, Jorge San Martín:
  The Distribution of Condition Numbers of Rational Data of Bounded Bit Length. 1-52
  
• Warwick Tucker:
  A Rigorous ODE Solver and Smale's 14th Problem. 53-117
  

Volume 2, Number 2, 2002

• Raphael A. Hauser:
  Self-Scaled Barrier Functions on Symmetric Cones and Their Classification. 121-143
  
• Michael H. Freedman:
  Poly-Locality in Quantum Computing. 145-154
  
• Eitan Tadmor, Jared Tanner:
  Adaptive Mollifiers for High Resolution Recovery of Piecewise Smooth Data from its Spectral Information. 155-189
  
• Markus Bläser:
  On the Multiplicative Complexity of the Inversion and Division of Hamiltonian Quaternions. 191-199
  

Volume 2, Number 3, 2002

• Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore:
  Adaptive Wavelet Methods II - Beyond the Elliptic Case. 203-245
  
• Grégoire Lecerf:
  Quadratic Newton Iteration for Systems with Multiplicity. 247-293
  
• Dima Grigoriev:
  Approximation and Complexity II: Iterated Integration. 295-304
  
• Arieh Iserles:
  On the Discretization of Double-Bracket Flows. 305-329
  

Volume 2, Number 4, 2002

• Yu. E. Nesterov, Michael J. Todd:
  On the Riemannian Geometry Defined by Self-Concordant Barriers and Interior-Point Methods. 333-361
  
• Debra Lewis, Peter J. Olver:
  Geometric Integration Algorithms on Homogeneous Manifolds. 363-392
  
• Alexander I. Barvinok:
  Estimating L⁸ Norms by L^2k Norms for Functions on Orbits. 393-412
  
• Felipe Cucker, Steve Smale:
  Best Choices for Regularization Parameters in Learning Theory: On the Bias-Variance Problem. 413-428
  
• Piotr Zgliczynski:
  C¹ Lohner Algorithm. 429-465