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Optimal backward perturbation bounds for underdetermined systems
Umeå University, Faculty of Science and Technology, Departement of Computing Science.
1997 (English)In: Siam Journal on Matrix Analysis and Applications, Vol. 18, no 2, 393-402 p.Article in journal (Refereed) Published
Abstract [en]

Let A be an n x m (m < n) matrix, b be an m-dimensional vector, and y be an a-dimensional nonzero vector. In this paper are consider the following open problem: find an explicit expression of the optimal backward perturbation bound eta(theta) (y) defined by eta(theta)(y) = inf{(F-T,theta(g))(F):y is the minimum a-norm solution to (A + F)(T)x = b + g}, where theta is a positive number. This problem is solved.

Place, publisher, year, edition, pages
1997. Vol. 18, no 2, 393-402 p.
Identifiers
URN: urn:nbn:se:umu:diva-22016ISBN: 0895-4798 OAI: oai:DiVA.org:umu-22016DiVA: diva2:212281
Available from: 2009-04-21 Created: 2009-04-21 Last updated: 2009-04-21

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