Oblique projections, pseudoinverses, and standard-form transformations | Per Christian Hansen
| | Abstract | Standard-form transformation is a technique for transforming a discrete ill-posed problem in general form (with a seminorm as regularizing term) into a standard-form problem. We give a simple geometric explanation why the weighted pseudoinverse is the correct inverse to use in the standard-form transformation. Our presentation is based on oblique projections and oblique pseudoinverses - tools that are often overlooked in numerical analysis. | | Keywords | Oblique projection, oblique pseudoinverse, weighted pseudoinverse | | Type | Technical report | | Year | 2004 | | Publisher | Informatics and Mathematical Modelling, Technical University of Denmark, DTU | | Address | Richard Petersens Plads, Building 321, DK-2800 Kgs. Lyngby | | Series | IMM-Technical report- 2004-13 | | BibTeX data | [bibtex] | | IMM Group(s) | Scientific Computing |
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