Oblique projections, pseudoinverses, and standardform transformations  Per Christian Hansen
 Abstract  Standardform transformation is a technique for transforming a discrete illposed problem in general form (with a seminorm as regularizing term) into a standardform problem. We give a simple geometric explanation why the weighted pseudoinverse is the correct inverse to use in the standardform 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, DK2800 Kgs. Lyngby  Series  IMMTechnical report 200413  BibTeX data  [bibtex]  IMM Group(s)  Scientific Computing 
