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1: 3.11 Approximation Techniques
§3.11(v) Least Squares Approximations
For further information on least squares approximations, including examples, see Gautschi (1997a, Chapter 2) and Björck (1996, Chapters 1 and 2). …
2: Bibliography P
  • M. J. D. Powell (1967) On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria. Comput. J. 9 (4), pp. 404–407.
  • 3: Bibliography B
  • M. V. Berry (1966) Uniform approximation for potential scattering involving a rainbow. Proc. Phys. Soc. 89 (3), pp. 479–490.
  • M. V. Berry (1969) Uniform approximation: A new concept in wave theory. Science Progress (Oxford) 57, pp. 43–64.
  • Å. Björck (1996) Numerical Methods for Least Squares Problems. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
  • C. Brezinski (1980) Padé-type Approximation and General Orthogonal Polynomials. International Series of Numerical Mathematics, Vol. 50, Birkhäuser Verlag, Basel.
  • J. D. Buckholtz (1963) Concerning an approximation of Copson. Proc. Amer. Math. Soc. 14 (4), pp. 564–568.
  • 4: Guide to Searching the DLMF
    Table 1: Query Examples
    Query

    Matching records contain

    Fourier or series

    at least one of the words “Fourier” or “series”.

    Fourier (transform or series)

    at least one of “Fourier transform” or “Fourier series”.

    J_n@(x or z)=

    at least one of the math fragments J n ( x ) = or J n ( z ) , emphasizing that J n is a function.

    trigonometric^2 + trig$^2

    any sum of the squares of two trigonometric functions such as sin 2 z + cos 2 z .

    Table 3: A sample of recognized symbols
    Symbols

    Comments

    ~~

    For approximation .