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Least Squares Problems

Heinz Rutishauser

Chapter Chapter 5 in Lectures on Numerical Mathematics, 1990, pp 103-127 from Springer

Abstract: Abstract We consider once again a system of nonlinear equations $$\begin{array}{*{20}{c}} {{f_1}\left( {{x_1},{x_2}, \cdots ,{x_p}} \right) = 0} \\ {{f_2}\left( {{x_1},{x_2}, \cdots ,{x_p}} \right) = 0} \\ \vdots \\ {{f_n}\left( {{x_1},{x_2}, \cdots ,{x_p}} \right) = 0,} \end{array}$$ but now assume that the number n of equations is larger than the number pof unknowns.

Keywords: Computational Implementation; Schmidt Orthogonalization; Orthogonalization Process; Householder Transformation; Trust Region Strategy (search for similar items in EconPapers)
Date: 1990
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DOI: 10.1007/978-1-4612-3468-5_5

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