Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Best approximation, Tikhonov regularization and reproducing kernels
Saburou Saitoh
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Keywords: Approximation of functions, best approximation, reproducing kernel, Tikhonov regularization, Sobolev space, generalized inverse, Moore-Penrose generalized inverse, approximate inverse
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2005 Volume 28 Issue 2 Pages 359-367

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Abstract
We shall give a definite and good application of the theory of reproducing kernels to the Tikhonov regularization that is powerful in best approximation problems in numerical analysis.
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© Department of Mathematics, Tokyo Institute of Technology
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