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
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• Warwick Tucker:
  A Rigorous ODE Solver and Smale's 14th Problem. 53-117
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Volume 2, Number 2, 2002

• Raphael A. Hauser:
  Self-Scaled Barrier Functions on Symmetric Cones and Their Classification. 121-143
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• Michael H. Freedman:
  Poly-Locality in Quantum Computing. 145-154
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• Eitan Tadmor, Jared Tanner:
  Adaptive Mollifiers for High Resolution Recovery of Piecewise Smooth Data from its Spectral Information. 155-189
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• Markus Bläser:
  On the Multiplicative Complexity of the Inversion and Division of Hamiltonian Quaternions. 191-199
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Volume 2, Number 3, 2002

• Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore:
  Adaptive Wavelet Methods II - Beyond the Elliptic Case. 203-245
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• Grégoire Lecerf:
  Quadratic Newton Iteration for Systems with Multiplicity. 247-293
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• Dima Grigoriev:
  Approximation and Complexity II: Iterated Integration. 295-304
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• Arieh Iserles:
  On the Discretization of Double-Bracket Flows. 305-329
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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
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• Debra Lewis, Peter J. Olver:
  Geometric Integration Algorithms on Homogeneous Manifolds. 363-392
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• Alexander I. Barvinok:
  Estimating L⁸ Norms by L^2k Norms for Functions on Orbits. 393-412
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• Felipe Cucker, Steve Smale:
  Best Choices for Regularization Parameters in Learning Theory: On the Bias-Variance Problem. 413-428
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• Piotr Zgliczynski:
  C¹ Lohner Algorithm. 429-465
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