Storn, Johannes Solving minimal residual methods in \(W^{-1,p'}\) with large exponents \(p\). (English) Zbl 07823286 J. Sci. Comput. 99, No. 2, Paper No. 35, 18 p. (2024). MSC: 65N22 65N30 65N12 65N15 65N20 49M29 49M20 35B65 35A01 35A02 35R25 47J25 PDFBibTeX XMLCite \textit{J. Storn}, J. Sci. Comput. 99, No. 2, Paper No. 35, 18 p. (2024; Zbl 07823286) Full Text: DOI arXiv OA License
Günnel, Andreas; Herzog, Roland; Sachs, Ekkehard A note on preconditioners and scalar products in Krylov subspace methods for self-adjoint problems in Hilbert space. (English) Zbl 1295.65062 ETNA, Electron. Trans. Numer. Anal. 41, 13-20 (2014). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{A. Günnel} et al., ETNA, Electron. Trans. Numer. Anal. 41, 13--20 (2014; Zbl 1295.65062) Full Text: EMIS
Klann, E.; Ramlau, R.; Reichel, L. Wavelet-based multilevel methods for linear ill-posed problems. (English) Zbl 1232.65190 BIT 51, No. 3, 669-694 (2011). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65R30 65J10 47A52 65R20 45B05 65J20 PDFBibTeX XMLCite \textit{E. Klann} et al., BIT 51, No. 3, 669--694 (2011; Zbl 1232.65190) Full Text: DOI
Gevorgyan, Levon Convergence analysis of the one-step iterative Krylov subspace methods. (English. Russian original) Zbl 1193.47019 J. Contemp. Math. Anal., Armen. Acad. Sci. 44, No. 5, 324-334 (2009); translation from Izv. Nats. Akad. Nauk Armen., Mat. 44, No. 5, 71-86 (2009). Reviewer: Iulian Coroian (Baia Mare) MSC: 47A50 65J10 47A12 47A30 47B36 PDFBibTeX XMLCite \textit{L. Gevorgyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 44, No. 5, 324--334 (2009; Zbl 1193.47019); translation from Izv. Nats. Akad. Nauk Armen., Mat. 44, No. 5, 71--86 (2009) Full Text: DOI
Gasparo, M. G.; Papini, A.; Pasquali, A. Some properties of GMRES in Hilbert spaces. (English) Zbl 1167.65023 Numer. Funct. Anal. Optim. 29, No. 11-12, 1276-1285 (2008). Reviewer: Martín Argerami (Regina) MSC: 65J10 47A10 47A50 PDFBibTeX XMLCite \textit{M. G. Gasparo} et al., Numer. Funct. Anal. Optim. 29, No. 11--12, 1276--1285 (2008; Zbl 1167.65023) Full Text: DOI
Vainikko, Gennadi GMRES and discrete approximation of operators. (English) Zbl 1067.65058 Proc. Est. Acad. Sci., Phys. Math. 53, No. 2, 124-131 (2004). Reviewer: Liu Xinguo (Qingdao) MSC: 65J10 47A50 65R20 45E10 PDFBibTeX XMLCite \textit{G. Vainikko}, Proc. Est. Acad. Sci., Phys. Math. 53, No. 2, 124--131 (2004; Zbl 1067.65058)
Calvetti, D.; Lewis, B.; Reichel, L. GMRES, L-curves, and discrete ill-posed problems. (English) Zbl 1003.65040 BIT 42, No. 1, 44-65 (2002). Reviewer: Horst Hollatz (Magdeburg) MSC: 65F22 65F10 65J10 65J20 47A52 PDFBibTeX XMLCite \textit{D. Calvetti} et al., BIT 42, No. 1, 44--65 (2002; Zbl 1003.65040) Full Text: DOI
Plato, R.; Vainikko, G. Fast solution of periodic integral equations by GMRES. (English) Zbl 1026.65127 Comput. Methods Appl. Math. 1, No. 4, 383-397 (2001). MSC: 65R20 35J05 65N38 65T40 45E10 35S15 31A30 45E05 65F10 65J10 47A50 PDFBibTeX XMLCite \textit{R. Plato} and \textit{G. Vainikko}, Comput. Methods Appl. Math. 1, No. 4, 383--397 (2001; Zbl 1026.65127) Full Text: EuDML EMIS
Knizhnerman, Leonid On GMRES-equivalent bounded operators. (English) Zbl 0982.65071 SIAM J. Matrix Anal. Appl. 22, No. 1, 195-212 (2000). Reviewer: Ulrich Langer (Linz) MSC: 65J10 65F10 47A50 PDFBibTeX XMLCite \textit{L. Knizhnerman}, SIAM J. Matrix Anal. Appl. 22, No. 1, 195--212 (2000; Zbl 0982.65071) Full Text: DOI
Celledoni, Elena Discrete QMR and BCG in the numerical solution of linear systems of ODEs. (English) Zbl 0946.65039 J. Comput. Appl. Math. 91, No. 1, 159-177 (1998). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65J10 65L05 47A50 34A30 PDFBibTeX XMLCite \textit{E. Celledoni}, J. Comput. Appl. Math. 91, No. 1, 159--177 (1998; Zbl 0946.65039) Full Text: DOI
Moret, Igor Discrete Krylov subspace methods for equations of the second kind. (English) Zbl 0935.65056 Int. J. Comput. Math. 69, No. 3-4, 351-369 (1998). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{I. Moret}, Int. J. Comput. Math. 69, No. 3--4, 351--369 (1998; Zbl 0935.65056) Full Text: DOI
Moret, Igor A note on the superlinear convergence of GMRES. (English) Zbl 0873.65054 SIAM J. Numer. Anal. 34, No. 2, 513-516 (1997). Reviewer: K.Georgiev (Sofia) MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{I. Moret}, SIAM J. Numer. Anal. 34, No. 2, 513--516 (1997; Zbl 0873.65054) Full Text: DOI
Yagola, A. G. Ill-posed problems with an approximately given operator. (Russian) Zbl 0578.65055 Computational mathematics, Banach Cent. Publ. 13, 265-279 (1984). Reviewer: O.Vaarmann MSC: 65J15 65J10 47A50 47J25 PDFBibTeX XML
Karimov, T. Kh. On some iterative methods of solving nonlinear equations in Hilbert space. (English. Russian original) Zbl 0536.65045 Sov. Math., Dokl. 27, 443-447 (1983); translation from Dokl. Akad. Nauk SSSR 269, 1038-1042 (1983). Reviewer: Boro Döring (Düsseldorf) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{T. Kh. Karimov}, Sov. Math., Dokl. 27, 443--447 (1983; Zbl 0536.65045); translation from Dokl. Akad. Nauk SSSR 269, 1038--1042 (1983)