Richard Brent - Research Interests (4)

Numerical analysis and numerical algorithms

• zero-finding and optimization
• fast algorithms for structured matrices
  • e.g. Toeplitz matrices
• numerical stability of fast algorithms
  • Schur/Bareiss algorithm
  • algorithms using partial pivoting
  • general weakly stable algorithms
  • parallel algorithms for triangular systems
• high-precision computations
  • complexity of multiple-precision arithmetic
  • implementation of multiple-precision arithmetic
  • computation of special functions and constants
    • pi and elementary functions - Landen transformations and the Gauss-Legendre (or Brent-Salamin) algorithm
    • e.g. Euler's constant (jointly with Ed McMillan) - for recent computations by Thomas Papanikolaou press here
      • Ramanujan and Euler's constant
  • other links on constants (the ISC home page)
• NA-net home page (useful information and addresses)

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