Least Squares Problems with Absolute Quadratic Constraints

R. Schöne and T. Hanning

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

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.

Date: 2012
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https://doi.org/10.1155/2012/312985

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:312985

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