Bibliography for Least Squares Polynomials

 Return to Numerical Methods - Numerical Analysis

 

  1. Local least squares polynomials approximations to scattered data.    
    de Tisi, F.; Feraudi, F.    
    Int. Math. J. 2 (2002), no. 1, 51--61, MathSciNet.  
  2. Data-Driven Bandwidth Selection in Local Polynomial Fitting: Variable Bandwidth and Spatial Adaptation  
    Jianqing Fan, Irene Gijbels  
    Journal of the Royal Statistical Society. Series B (Methodological), Vol. 57, No. 2. (1995), pp. 371-394., Jstor.  
  3. Curve Fitting by Polynomial-Trigonometric Regression  
    R. L. Eubank, Paul Speckman  
    Biometrika, Vol. 77, No. 1. (Mar., 1990), pp. 1-9., Jstor.  
  4. Characterization of the Weights of Least Squares Adaptive Polynomials  
    Robert K. Goodrich, Ranjit M. Passi  
    SIAM Journal on Applied Mathematics, Vol. 48, No. 2. (Apr., 1988), pp. 458-464, Jstor.  
  5. Piecewise Cubic Curve Fitting Algorithm  
    Zheng Yan  
    Mathematics of Computation, Vol. 49, No. 179. (Jul., 1987), pp. 203-213, Jstor.  
  6. Least Squares Polynomials in the Complex Plane and Their Use for Solving Nonsymmetric Linear Systems  
    Youcef Saad  
    SIAM Journal on Numerical Analysis, Vol. 24, No. 1. (Feb., 1987), pp. 155-169, Jstor.  
  7. Quadratic Pencils and Least-Squares Piecewise-Polynomial Approximation  
    Boris Mityagin  
    Mathematics of Computation, Vol. 40, No. 161. (Jan., 1983), pp. 283-300, Jstor.  
  8. The Interpretation of Least Squares Regression With Interaction or Polynomial Terms (in Notes)  
    Irwin Bernhardt, Bong S. Jung  
    The Review of Economics and Statistics, Vol. 61, No. 3. (Aug., 1979), pp. 481-483., Jstor.  
  9. Practical Curve Fitting (in Notes)  
    William Silvert  
    Limnology and Oceanography, Vol. 24, No. 4. (Jul., 1979), pp. 767-773., Jstor.  
  10. A Comparison of Two Algorithms for Absolute Deviation Curve Fitting (in Applications)  
    R. D. Armstrong, E. L. Frome  
    Journal of the American Statistical Association, Vol. 71, No. 354. (Jun., 1976), pp. 328-330., Jstor.  
  11. Geometric Fit of a Monotonic Cubic (in Classroom Notes)  
    W. P. Cooke  
    American Mathematical Monthly, Vol. 80, No. 9. (Nov., 1973), pp. 1047-1051, Jstor.  
  12. A Least Squares Family of Cubic Curves with an Application to Golf Handicapping  
    Francis Scheid  
    SIAM Journal on Applied Mathematics, Vol. 22, No. 1. (Jan., 1972), pp. 77-83, Jstor.  
  13. Least-Squares Fitting of a Polynomial Constrained to be Either Non-Negative Non-Decreasing or Convex  
    Derek J. Hudson  
    Journal of the Royal Statistical Society. Series B (Methodological), Vol. 31, No. 1. (1969), pp. 113-118., Jstor.  
  14. The Reduction of the Variance by Least Squares Polynomial Approximations  
    H. C. Joksch  
    SIAM Review, Vol. 8, No. 2. (Apr., 1966), pp. 211-219, Jstor.  
  15. Fitting a Polynomial to Correlated Equally Spaced Observations (in Miscellanea)  
    P. Sprent  
    Biometrika, Vol. 52, No. 1/2. (Jun., 1965), pp. 275-276., Jstor.  
  16. An Algorithm for Summing Orthogonal Polynomial Series and their Derivatives with Applications to Curve-Fitting and Interpolation  
    Francis J. Smith  
    Mathematics of Computation, Vol. 19, No. 89. (Apr., 1965), pp. 33-36., Jstor.  
  17. Conditional Least Squares Polynomial Approximation (in Technical Notes and Short Papers)  
    R. W. Klopfenstein  
    Mathematics of Computation, Vol. 18, No. 88. (Oct., 1964), pp. 659-662, Jstor.  
  18. Least Squares Fitting of Polynomials to Irregularly Spaced Data  
    A. T. Berztiss  
    SIAM Review, Vol. 6, No. 3. (Jul., 1964), pp. 203-227, Jstor.  
  19. On a Point Arising in Polynomial Regression Fitting (in Miscellanea)  
    C. F. Crouse  
    Biometrika, Vol. 51, No. 3/4. (Dec., 1964), pp. 501-503., Jstor.  
  20. Note on the Curve Fitting of Discrete Data by Economization (in Technical Notes and Short Papers)  
    F. D. Burgoyne  
    Mathematics of Computation, Vol. 16, No. 80. (Oct., 1962), pp. 498-499, Jstor.  
  21. Polynomial Curve Fitting with Constraint  
    J. E. L. Peck  
    SIAM Review, Vol. 4, No. 2. (Apr., 1962), pp. 135-141, Jstor.  
  22. Precision of Least Squares Polynomial Estimates  
    Frank Proschan  
    SIAM Review, Vol. 3, No. 3. (Jul., 1961), pp. 230-236, Jstor.  
  23. Corrigenda: The Use of Orthogonal Polynomials of Positive and Negative Binomial Frequency Functions in Curve Fitting by Aitken's Method  
    H. T. Gonin  
    Biometrika, Vol. 48, No. 3/4. (Dec., 1961), p. 476, Jstor.  
  24. The Use of Orthogonal Polynomials of the Positive and Negative Binomial Frequency Functions in Curve Fitting by Aitken's Method  
    H. T. Gonin  
    Biometrika, Vol. 48, No. 1/2. (Jun., 1961), pp. 115-123., Jstor.  
  25. An Associated Polynomial for Least Squares Approximations  
    Richard Warren  
    Annals of Mathematical Statistics, Vol. 31, No. 4. (Dec., 1960), pp. 969-981, Jstor.  
  26. Curve-Fitting Matrices (in Mathematical Notes)  
    A. B. Farnell  
    American Mathematical Monthly, Vol. 66, No. 4. (Apr., 1959), pp. 297-300, Jstor.  
  27. Correction Notes: Corrections to "Approximation and Graduation According to the Principle of Least Squares by Orthogonal Polynomials"  
    Charles Jordan  
    Annals of Mathematical Statistics, Vol. 30, No. 4. (Dec., 1959), p. 1266, Jstor.  
  28. Curve-Fitting Matrices (in Mathematical Notes)  
    Herbert S. Wilf  
    American Mathematical Monthly, Vol. 65, No. 4. (Apr., 1958), pp. 272-274, Jstor.  
  29. An Application of Linear Programming to Curve Fitting  
    James E. Kelley, Jr.  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 6, No. 1. (Mar., 1958), pp. 15-22., Jstor.  
  30. A Multiple Group Least Squares' Problem and the Significance of the Associated Orthogonal Polynomials  
    Bradford F. Kimball  
    Journal of the American Statistical Association, Vol. 48, No. 262. (Jun., 1953), pp. 320-335, Jstor.  
  31. On Least Squares Fitting by Orthonormal Polynomials Using the Choleski Method  
    S. Rushton  
    Journal of the Royal Statistical Society. Series B (Methodological), Vol. 13, No. 1. (1951), pp. 92-99, Jstor.  
  32. Orthogonal Polynomial Fitting  
    John Wishart, Theocharis Metakides  
    Biometrika, Vol. 40, No. 3/4. (Dec., 1953), pp. 361-369., Jstor.  
  33. A Note on Least Squares (in Classroom Notes)  
    D. B. Houghton  
    American Mathematical Monthly, Vol. 57, No. 9. (Nov., 1950), pp. 629-631, Jstor.  
  34. A Historical Note on the Method of Least Squares (in Miscellanea)  
    R. L. Plackett  
    Biometrika, Vol. 36, No. 3/4. (Dec., 1949), pp. 458-460., Jstor.  
  35. Fitting Polynomial Trends to Seasonal Data by the Method of Least Squares  
    Howard L. Jones  
    Journal of the American Statistical Association, Vol. 38, No. 224. (Dec., 1943), pp. 453-465., Jstor.  
  36. Polynomial Approximation by the Method of Least Squares  
    H. T. Davis  
    Annals of Mathematical Statistics, Vol. 4, No. 3. (Aug., 1933), pp. 155-195., Jstor.  
  37. Approximation and Graduation According to the Principle of Least Squares by Orthogonal Polynomials  
    Charles Jordan  
    Annals of Mathematical Statistics, Vol. 3, No. 4. (Nov., 1932), pp. 257-333+335-357., Jstor.  
  38. Formulas for the Fitting of Polynomials to Data by the Method of Least Squares  
    Harold T. Davis, Voris V. Latshaw  
    The Annals of Mathematics, 2nd Ser., Vol. 31, No. 1. (Jan., 1930), pp. 52-78, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

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