Weaker assumptions for convergence of extended block Kaczmarz and Jacobi projection algorithms

[1] Ben-Israel, A. and Greville, T., Generalized Inverses: Theory and Appli- cations, Second Edition, Springer-Verlag, New York, 2003.Search in Google Scholar

[2] Björk, A., Numerical Methods for Least Squares Problems, SIAM, Philadelphia, 1996.10.1137/1.9781611971484Search in Google Scholar

[3] Eggermont P.P.B., Herman G.T., Lent A., Iterative Algorithms for LargeSearch in Google Scholar

Partitioned Linear Systems, with Applications to Image Reconstruction, Linear Alg. Appl., 40(1981), 37-67.10.1016/0024-3795(81)90139-7Search in Google Scholar

[4] Elfving, T., Block-Iterative Methods for Consistent and Inconsistent Lin- ear Equations, Numer. Math., 35, 1{12, 1980.10.1007/BF01396365Search in Google Scholar

[5] Nicola, A., Petra, S., Popa, C. and Schnörr, C., A general extendingSearch in Google Scholar

and constraining procedure for linear iterative methods, Intern. J. Comp.Search in Google Scholar

Math., 89, 231{253, 2012.10.1080/00207160.2011.634002Search in Google Scholar

[6] Popa, C., Extensions of block-projections methods with relaxation parameters to inconsistent and rank-deficient least-squares problems, BIT NumericalSearch in Google Scholar

Analysis 38(1), 151{176, 1998.10.1007/BF02510922Search in Google Scholar

[7] Popa, C., Extended and constrained diagonal weighting algorithm withSearch in Google Scholar

application to inverse problems in image reconstruction, Inverse Probl., 26, doi: 10.1088/0266-5611/26/6/065004, 2010.Search in Google Scholar

[8] Popa, C., Projection algorithms - classical results and developments. Applications to image reconstruction, Lambert Academic Publishing - AVSearch in Google Scholar

Akademikerverlag GmbH & Co. KG, Saarbrücken, Germany, 2012.Search in Google Scholar

[9] Tanabe, K., Projection Method for Solving a Singular System of LinearSearch in Google Scholar

Equations and its Applications, Numer. Math., 17, 203{214, 1971.10.1007/BF01436376Search in Google Scholar