least squares problems with absolute quadratic constraints

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ID: 161839
2012
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Abstract
This paper analyzes linear least squares problems with absolute quadratic constraints. We develop a generalized theory following Bookstein's conic-fitting and Fitzgibbon's direct ellipse-specific fitting. Under simple preconditions, it can be shown that a minimum always exists and can be determined by a generalized eigenvalue problem. This problem is numerically reduced to an eigenvalue problem by multiplications of Givens' rotations. Finally, four applications of this approach are presented.
Reference Key
schne2012journalleast Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;R. Schöne;T. Hanning
Journal Chemico-biological interactions
Year 2012
DOI
10.1155/2012/312985
URL
http://dx.doi.org/10.1155/2012/312985
Keywords
mathematics

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