A Representation of Nonhomogeneous Quadratic Forms with Application to the Least Squares Solution

Czesław Stępniak

Mathematical Problems in Engineering, 2011, vol. 2011, 1-5

Abstract:

The least squares problem appears, among others, in linear models, and it refers to inconsistent system of linear equations. A crucial question is how to reduce the least squares solution in such a system to the usual solution in a consistent one. Traditionally, this is reached by differential calculus. We present a purely algebraic approach to this problem based on some identities for nonhomogeneous quadratic forms.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:385870

DOI: 10.1155/2011/385870

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