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- Title
Oblique projections and standard-form transformations for discrete inverse problems.
- Authors
Hansen, Per Christian
- Abstract
SUMMARY This tutorial paper considers a specific computational tool for the numerical solution of discrete inverse problems, known as the standard-form transformation, by which we can treat general Tikhonov regularization problems efficiently. In the tradition of B. N. Datta's expositions of numerical linear algebra, we use the close relationship between oblique projections, pseudoinverses, and matrix computations to derive a simple geometric motivation and algebraic formulation of the standard-form transformation. Copyright © 2011 John Wiley & Sons, Ltd.
- Subjects
OBLIQUE projection; MATHEMATICAL forms; MATHEMATICAL transformations; INVERSE problems; NUMERICAL solutions for linear algebra; TIKHONOV regularization; PSEUDOINVERSES
- Publication
Numerical Linear Algebra with Applications, 2013, Vol 20, Issue 2, p250
- ISSN
1070-5325
- Publication type
Article
- DOI
10.1002/nla.802