On the Extrema of Linear Least-Squares Problems
P. Phohomsiri
Additional contact information
P. Phohomsiri: University of Southern California
Journal of Optimization Theory and Applications, 2005, vol. 127, issue 3, No 16, 665-669
Abstract:
Abstract We use the concept of generalized inverses to show that the extrema of the function $$G(x) = \|Ax-b\|^2$$ are minima, A being a rectangular matrix not necessarily of full rank
Keywords: Least-squares problems; generalized inverses; residual functions (search for similar items in EconPapers)
Date: 2005
References: Add references at CitEc
Citations: View citations in EconPapers (1)
Downloads: (external link)
http://link.springer.com/10.1007/s10957-005-7509-6 Abstract (text/html)
Access to the full text of the articles in this series is restricted.
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:joptap:v:127:y:2005:i:3:d:10.1007_s10957-005-7509-6
Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2
DOI: 10.1007/s10957-005-7509-6
Access Statistics for this article
Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull
More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().