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Preconditioned conjugate gradients, radial basis functions, and Toeplitz matrices

✍ Scribed by B.J.C Baxter

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 834 KB
Volume: 43
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(01)00288-7

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This paper is concerned with a conjugate gradient method that utilizes a successive set of preconditioner matrices. The method is developed for the solution of min{f (x): x ∈ R n }, where f is a nonlinear function that is sufficiently smooth to possess a Hessian matrix that is continuous. The theory