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A note on the relationship between the conjugate gradient method and polynomials orthogonal over the spectrum of a linear operator

✍ Scribed by Knockaert, L.


Book ID
115497198
Publisher
IEEE
Year
1987
Tongue
English
Weight
231 KB
Volume
35
Category
Article
ISSN
0018-926X

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A note on the efficiency of the conjugat
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## Abstract We discuss the efficiency of the conjugate gradient (CG) method for solving a sequence of linear systems; __Au__^__n__+1^ = __u__^__n__^, where __A__ is assumed to be sparse, symmetric, and positive definite. We show that under certain conditions the Krylov subspace, which is generated