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NA
2007
80views more  NA 2007»
13 years 8 months ago
Image reconstruction by OPED algorithm with averaging
Abstract. OPED is a new image reconstruction algorithm based on orthogonal polynomial expansion on the disk. We show that the integral of the approximation function in OPED can be ...
Yuan Xu, Oleg Tischenko, Christoph Hoeschen
NA
2010
87views more  NA 2010»
13 years 7 months ago
A note on the O(n)-storage implementation of the GKO algorithm and its adaptation to Trummer-like matrices
We propose a new O(n)-space implementation of the GKO-Cauchy algorithm for the solution of linear systems where the coefficient matrix is Cauchy-like. Moreover, this new algorithm...
Federico Poloni
NA
2010
86views more  NA 2010»
13 years 7 months ago
Adaptive version of Simpler GMRES
Abstract. In this paper we propose a stable variant of Simpler GMRES by Walker and Zhou [15]. It is based on the adaptive choice of the Krylov subspace basis at given iteration ste...
Pavel Jiránek, Miroslav Rozlozník
NA
2010
62views more  NA 2010»
13 years 7 months ago
Noise-reducing cascadic multilevel methods for linear discrete ill-posed problems
Cascadic multilevel methods for the solution of linear discrete ill-posed problems with noise-reducing restriction and prolongation operators recently have been developed for the r...
Serena Morigi, Lothar Reichel, Fiorella Sgallari
NA
2010
144views more  NA 2010»
13 years 7 months ago
A binary powering Schur algorithm for computing primary matrix roots
An algorithm for computing primary roots of a nonsingular matrix A is presented. In particular, it computes the principal root of a real matrix having no nonpositive real eigenvalu...
Federico Greco, Bruno Iannazzo