Open Access
2012 Least Squares Problems with Absolute Quadratic Constraints
R. Schöne, T. Hanning
J. Appl. Math. 2012: 1-12 (2012). DOI: 10.1155/2012/312985


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.


Download Citation

R. Schöne. T. Hanning. "Least Squares Problems with Absolute Quadratic Constraints." J. Appl. Math. 2012 1 - 12, 2012.


Published: 2012
First available in Project Euclid: 15 March 2012

zbMATH: 1330.65099
MathSciNet: MR2830978
Digital Object Identifier: 10.1155/2012/312985

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
Back to Top