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Stability of finite linear combinations of vectors under changes of their coefficients. An application to approximation problems

✍ Scribed by A. Sararu; M. Sararu


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
467 KB
Volume
60
Category
Article
ISSN
0010-4655

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✦ Synopsis


We analyze the possibility of using the condition numbers of linear combinations of vectors as a measure of their numerical stability. In particular, we numerically study some sets of vectors (monomials and two special sets of kernel functions) employed in approximation problems.

1

where Gm~and a,~are the extreme singular C1, C2, ..., CN being complex numbers, values of MN.