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         "type" : "Publication",
         "id"   : "https://puma.ub.uni-stuttgart.de/bibtex/2b881c5bd45bba967a418431f264925f3/mathematik",         
         "tags" : [
            "15A23;","41A05;","42A82;","65Y20","Fast","Interpolation;","Matrix","Positive","computation;","definite","factorization;","from:mhartmann","functions;","ians","vorlaeufig"
         ],
         
         "intraHash" : "b881c5bd45bba967a418431f264925f3",
         "interHash" : "5fc476059e77e8e9226f6a15761cf6a5",
         "label" : "Fast computation of orthonormal basis for RBF spaces through Krylov\n\tspace methods",
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         "description" : "",
         "date" : "2018-07-20 10:54:28",
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         "pub-type": "article",
         "journal": "BIT Numerical Mathematics","publisher":"Springer Netherlands",
         "year": "2015", 
         "url": "http://dx.doi.org/10.1007/s10543-014-0537-6", 
         
         "author": [ 
            "Stefano De Marchi","Gabriele Santin"
         ],
         "authors": [
         	
            	{"first" : "Stefano",	"last" : "De Marchi"},
            	{"first" : "Gabriele",	"last" : "Santin"}
         ],
         "volume": "55","number": "4","pages": "949--966","abstract": "In recent years, in the setting of radial basis function, the study\n\tof approximation algorithms has particularly focused on the construction\n\tof (stable) bases for the associated Hilbert spaces. One of the ways\n\tof describing such spaces and their properties is the study of a\n\tparticular integral operator and its spectrum. We proposed in a recent\n\twork the so-called WSVD basis, which is strictly connected to the\n\teigen-decomposition of this operator and allows to overcome some\n\tproblems related to the stability of the computation of the approximant\n\tfor a wide class of radial kernels. Although effective, this basis\n\tis computationally expensive to compute. In this paper we discuss\n\ta method to improve and compute in a fast way the basis using methods\n\trelated to Krylov subspaces. After reviewing the connections between\n\tthe two bases, we concentrate on the properties of the new one, describing\n\tits behavior by numerical tests.",
         "issn" : "0006-3835",
         
         "file" : ":http\\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/DeMSa2015_www_Fast_computation_onb_RBF.pdf:PDF",
         
         "owner" : "santinge",
         
         "language" : "English",
         
         "doi" : "10.1007/s10543-014-0537-6",
         
         "bibtexKey": "demarchi2015computation"

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