Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion

@inproceedings{Hansen1987RankDeficientAD,
title={Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion},
author={P. Hansen},
year={1987}
}

Preface Symbols and Acronyms 1. Setting the Stage. Problems With Ill-Conditioned Matrices Ill-Posed and Inverse Problems Prelude to Regularization Four Test Problems 2. Decompositions and Other Tools. The SVD and its Generalizations Rank-Revealing Decompositions Transformation to Standard Form Computation of the SVE 3. Methods for Rank-Deficient Problems. Numerical Rank Truncated SVD and GSVD Truncated Rank-Revealing Decompositions Truncated Decompositions in Action 4. Problems with Ill… Expand