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least squares approximations


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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

    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



    For approximation .