Bounds for the structured backward errors of Vandermonde systems
1998 (English)In: Siam Journal on Matrix Analysis and Applications, Vol. 20, no 1, 45-59 p.Article in journal (Refereed) Published
Consider the primal Vandermonde system V (a)x = b and the dual Vandermonde system V (a)(T) x = b, where V (a) is the Vandermonde matrix defined in terms of the vector a = (alpha(1), ..., alpha(n))(T) with distinct scalars alpha(1), ..., alpha(n) is an element of C. In view of the special structure of the matrix V (a), we define structured backward errors (SBEs) C of the Vandermonde systems and describe a technique for obtaining upper and lower bounds for the SBEs. The results are illustrated by numerical examples.
Place, publisher, year, edition, pages
1998. Vol. 20, no 1, 45-59 p.
IdentifiersURN: urn:nbn:se:umu:diva-22006ISBN: 0895-4798OAI: oai:DiVA.org:umu-22006DiVA: diva2:212269