Abstract
In this short chapter is detailed the method of Givens to solve for the least squares fit to a set of overdetermined simultaneous linear equations. The listing of a Fortran program to implement the method is also given. This chapter contains material required for subsequent chapters in this book, which are otherwise written to stand alone.
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References
Gauss, C. F, 1809, Theoria Motus Corporum Coelestium in sectionibus conicis solem ambientium, translated by C. H. Davis as Theory of the Motion of the Heavenly Bodies Moving About the Sun in Conic Sections, a Translation of Gauss’ “Theoria Motus” With an Appendix, 1857, Franklin Classics, ISBN 9780342834815.
Givens, W., 1958, Computation of Plain Unitary Rotations Transforming a General Matrix to Triangular Form, Journal of the Society for Industrial and Applied Mathematics, 6(1), 26–50.
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Clark, J. (2021). Least Squares Fit to Sets of Equations. In: Calculate the Orbit of Mars!. Springer, Cham. https://doi.org/10.1007/978-3-030-78267-2_4
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DOI: https://doi.org/10.1007/978-3-030-78267-2_4
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