Regularization by Truncated Total Least Squares
SIAM Journal on Scientific Computing
Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion
Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion
Tikhonov Regularization and Total Least Squares
SIAM Journal on Matrix Analysis and Applications
Introduction to Scientific Computing: A Matrix-Vector Approach Using MATLAB
Introduction to Scientific Computing: A Matrix-Vector Approach Using MATLAB
Image Deblurring: I Can See Clearly Now
Computing in Science and Engineering
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This homework assignment focuses on a class of methods that accounts for uncertainty in the model as well as the data. Our example concerns spectroscopy--the attempt to reconstruct a true spectrum from an observed one. The problem we're considering is sometimes called blind deconvolution, because we're trying to unravel not only the spectrum, but the function that caused the blurring. These problems also arise in image deblurring.