Invariance with Respect to the Choice of Generalized Inverse

Simo Puntanen (), George P. H. Styan () and Jarkko Isotalo ()
Additional contact information
Simo Puntanen: University of Tampere, School of Information Sciences
George P. H. Styan: McGill University, Department of Mathematics & Statistics
Jarkko Isotalo: University of Tampere, School of Information Sciences

Chapter Chapter 12 in Matrix Tricks for Linear Statistical Models, 2011, pp 283-290 from Springer

Abstract: Abstract Because we are heavily using generalized inverses, it is very important to know something about the invariance of the matrix expressions with respect to the choice of generalized inverses appearing in the expression. Our main attention in this chapter is focused on the matrix product AB −C, but one can make corresponding questions concerning, for example, the invariance of the column space $$\mathcal{C} ({\bf AB}^-{\bf C}),$$ the rank of AB −C, and the eigenvalues of AB −C.

Date: 2011
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-10473-2_13

Ordering information: This item can be ordered from
http://www.springer.com/9783642104732

DOI: 10.1007/978-3-642-10473-2_13

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().