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

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  • Czesław Stępniak

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.

Suggested Citation

  • Czesław Stępniak, 2011. "A Representation of Nonhomogeneous Quadratic Forms with Application to the Least Squares Solution," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-5, October.
    • Handle: RePEc:hin:jnlmpe:385870
    DOI: 10.1155/2011/385870
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