NDLI: On updating the least singular value: a lower bound

Content Provider	Springer Nature Link
Author	Fassi, C.
Copyright Year	2003
Abstract	Let {A k } k=1 p , , be a sequence of m × k matrices such that A k+1 is obtained from A k by appending a column. In this paper a lower bound δ k+1 for the least singular value of each matrix A k+1 is derived from the value δ k . The kth step of the algorithm is based on the solution of the least squares problem A k x k =b k , using the QR updating scheme, so that the algorithm requires O(mp 2 + p 3) operations. Lastly, an error analysis is performed in order to detect when the computed lower bound is a good approximation of the exact least singular value.
Starting Page	213
Ending Page	229
Page Count	17
File Format	PDF
ISSN	00080624
Journal	CALCOLO
Volume Number	40
Issue Number	4
e-ISSN	11265434
Language	English
Publisher	Springer-Verlag
Publisher Date	2003-01-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Computational Mathematics

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On updating the least singular value: a lower bound