Scaled Givens Rotations for the Solution of Linear Least Squares Problems on Systolic Arrays

1987 ◽  
Vol 8 (5) ◽  
pp. 716-733 ◽  
Author(s):  
Jesse L. Barlow ◽  
Ilse F. C. Ipsen
Keyword(s):  
Least Squares ◽  
Systolic Arrays ◽  
Linear Least Squares ◽  
Least Squares Problems ◽  
Givens Rotations ◽  
Linear Least Squares Problems

scholarly journals Least Squares Problems with Absolute Quadratic Constraints

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
R. Schöne ◽  
T. Hanning
Keyword(s):  
Eigenvalue Problem ◽  
Least Squares ◽  
Generalized Eigenvalue Problem ◽  
Linear Least Squares ◽  
Least Squares Problems ◽  
Quadratic Constraints ◽  
Conic Fitting ◽  
Generalized Eigenvalue ◽  
Givens Rotations ◽  
Linear Least Squares Problems

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.

scholarly journals Adaptive Robust Kernels for Non-Linear Least Squares Problems

2021 ◽  
pp. 1-1
Author(s):  
Nived Chebrolu ◽  
Thomas Labe ◽  
Olga Vysotska ◽  
Jens Behley ◽  
Cyrill Stachniss
Keyword(s):  
Least Squares ◽  
Linear Least Squares ◽  
Least Squares Problems ◽  
Non Linear ◽  
Linear Least Squares Problems
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