A Newton root-finding algorithm for estimating the regularization parameter for solving ill-conditioned least squares problems

Mathematics

• Root-finding 100%
• Least Squares Problem 88%
• Regularization Parameter 87%
• Costs 43%
• Parameter Estimation 36%
• Regularization 34%
• Covariance Information 34%
• Generalized Singular Value Decomposition 30%
• L-curve 29%
• Colored Noise 27%
• Generalized Cross-validation 27%
• Overdetermined Systems 25%
• Fidelity 25%
• Tikhonov Regularization 22%
• Singular value decomposition 22%
• White noise 20%
• Newton Methods 19%
• System of equations 17%
• Scalar 15%
• Random variable 14%
• Curve 12%
• Performance 11%
• Standards 11%
• Term 10%
• Model 6%

Physics & Astronomy

• newton 79%
• estimating 71%
• costs 36%
• decomposition 24%
• Newton methods 21%
• random variables 19%
• curves 17%
• white noise 17%
• functionals 15%
• scalars 11%
• matrices 8%
• performance 7%

Engineering & Materials Science

• Singular value decomposition 41%
• Parameter estimation 37%
• Newton-Raphson method 22%
• White noise 21%
• Random variables 20%
• Costs 7%