Programs in Physics & Physical Chemistry
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|Manuscript Title: Multivariate least squares fitting program using modified Gram- Schmidt transformations.|
|Authors: M.J. O'Connell|
|Program title: GSFIT|
|Catalogue identifier: ABCH_v1_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 8(1974)56|
|Programming language: Fortran.|
|Computer: IBM 370/195.|
|Operating system: IBM OS/HASP.|
|RAM: 37K words|
|Word size: 32|
|Peripherals: magnetic tape.|
|Keywords: General purpose, Nuclear physics, High energy, Least squares, Fit, Modified gram-schmidt Transformations, Orthogonal basis vectors, Chebyshev polynomials, Legendre polynomials, Multivariate analysis, General experiment.|
|Classification: 4.9, 17.4.|
Nature of problem:
Fitting a dependent variable in terms of functions of many independent variables, e.g. finding the momentum of a charged particle from observation of its trajectory in magnetic field.
Residual sum of square is minimized using modified Gram-Schmidt o orthogonal basis vectors.
None in principle; coding arranged for 6 independent variables, 250 observations, up to 1000 trial functions.
User has considerable control over the functions to be included, with the facility to reject marginally contributing terms.
15 s on IBM 360/195.
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