Ferrandi, Giulia; Hochstenbach, Michiel E. A homogeneous Rayleigh quotient with applications in gradient methods. (English) Zbl 1522.65049 J. Comput. Appl. Math. 437, Article ID 115440, 15 p. (2024). MSC: 65F15 65F50 65K05 90C20 PDFBibTeX XMLCite \textit{G. Ferrandi} and \textit{M. E. Hochstenbach}, J. Comput. Appl. Math. 437, Article ID 115440, 15 p. (2024; Zbl 1522.65049) Full Text: DOI arXiv
Chu, Eric K.-W.; Hou, Liangshao; Szyld, Daniel B.; Zhou, Jieyong Numerical solution of singular Sylvester equations. (English) Zbl 1522.65059 J. Comput. Appl. Math. 436, Article ID 115426, 17 p. (2024). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{E. K. W. Chu} et al., J. Comput. Appl. Math. 436, Article ID 115426, 17 p. (2024; Zbl 1522.65059) Full Text: DOI
Hansen, Per Christian; Hayami, Ken; Morikuni, Keiichi GMRES methods for tomographic reconstruction with an unmatched back projector. (English) Zbl 1489.65060 J. Comput. Appl. Math. 413, Article ID 114352, 20 p. (2022). MSC: 65F22 65F10 94A08 PDFBibTeX XMLCite \textit{P. C. Hansen} et al., J. Comput. Appl. Math. 413, Article ID 114352, 20 p. (2022; Zbl 1489.65060) Full Text: DOI arXiv
Feng, Xiaoli; Zhao, Meixia; Qian, Zhi A Tikhonov regularization method for solving a backward time-space fractional diffusion problem. (English) Zbl 1490.35535 J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022). MSC: 35R25 35R30 47A52 65M06 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022; Zbl 1490.35535) Full Text: DOI
Samar, Mahvish; Lin, Fu-Rong Perturbation analysis and condition numbers for the Tikhonov regularization of total least squares problem and their statistical estimation. (English) Zbl 1486.65043 J. Comput. Appl. Math. 411, Article ID 114230, 19 p. (2022). MSC: 65F22 15A12 15A60 65F20 65F35 PDFBibTeX XMLCite \textit{M. Samar} and \textit{F.-R. Lin}, J. Comput. Appl. Math. 411, Article ID 114230, 19 p. (2022; Zbl 1486.65043) Full Text: DOI
Nedzhibov, Gyurhan H. The Weierstrass iterative method as a Petrov-Galerkin method for solving eigenvalue problem. (English) Zbl 1480.65084 J. Comput. Appl. Math. 405, Article ID 113961, 9 p. (2022). MSC: 65F15 65H04 PDFBibTeX XMLCite \textit{G. H. Nedzhibov}, J. Comput. Appl. Math. 405, Article ID 113961, 9 p. (2022; Zbl 1480.65084) Full Text: DOI
Xiong, Xiangtuan; Xue, Xuemin; Li, Zhenping On a weighted time-fractional asymptotical regularization method. (English) Zbl 1524.65215 J. Comput. Appl. Math. 394, Article ID 113579, 13 p. (2021). MSC: 65J20 65J10 47A52 35R30 65M32 PDFBibTeX XMLCite \textit{X. Xiong} et al., J. Comput. Appl. Math. 394, Article ID 113579, 13 p. (2021; Zbl 1524.65215) Full Text: DOI
Yang, Fan; Pu, Qu; Li, Xiao-Xiao The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation. (English) Zbl 1440.65123 J. Comput. Appl. Math. 380, Article ID 112998, 19 p. (2020). MSC: 65M30 65M32 65M06 65M12 65J20 35R30 35R25 35R11 26A33 PDFBibTeX XMLCite \textit{F. Yang} et al., J. Comput. Appl. Math. 380, Article ID 112998, 19 p. (2020; Zbl 1440.65123) Full Text: DOI
Miminis, George The feedback search algorithm: estimating the distance of semi-explicit systems to \(\mathcal{R}\)-uncontrollability. (English) Zbl 1441.93035 J. Comput. Appl. Math. 373, Article ID 112308, 16 p. (2020). MSC: 93B05 90C26 93B52 PDFBibTeX XMLCite \textit{G. Miminis}, J. Comput. Appl. Math. 373, Article ID 112308, 16 p. (2020; Zbl 1441.93035) Full Text: DOI
Xu, Xuefeng On the perturbation of an \(L^2\)-orthogonal projection. (English) Zbl 1433.65074 J. Comput. Appl. Math. 368, Article ID 112327, 17 p. (2020). MSC: 65F35 65F15 65F20 15A18 47A55 PDFBibTeX XMLCite \textit{X. Xu}, J. Comput. Appl. Math. 368, Article ID 112327, 17 p. (2020; Zbl 1433.65074) Full Text: DOI arXiv
Díaz de Alba, P.; Fermo, L.; van der Mee, C.; Rodriguez, G. Recovering the electrical conductivity of the soil via a linear integral model. (English) Zbl 1410.65119 J. Comput. Appl. Math. 352, 132-145 (2019). MSC: 65F22 65R20 86A22 45B05 PDFBibTeX XMLCite \textit{P. Díaz de Alba} et al., J. Comput. Appl. Math. 352, 132--145 (2019; Zbl 1410.65119) Full Text: DOI
Khieu, Tran Thi; Vo, Hoang-Hung Recovering the historical distribution for nonlinear space-fractional diffusion equation with temporally dependent thermal conductivity in higher dimensional space. (English) Zbl 1402.65089 J. Comput. Appl. Math. 345, 114-126 (2019). MSC: 65M06 35R11 35R30 65Y20 65N20 PDFBibTeX XMLCite \textit{T. T. Khieu} and \textit{H.-H. Vo}, J. Comput. Appl. Math. 345, 114--126 (2019; Zbl 1402.65089) Full Text: DOI
Xiong, Xiangtuan; Zhuang, E.; Xue, Xuemin; Qian, Zhi A regularization framework for mildly ill-posed problems connected with pseudo-differential operator. (English) Zbl 1440.65281 J. Comput. Appl. Math. 341, 1-11 (2018). Reviewer: Dinh Nho Hào (Hanoi) MSC: 65R30 65D25 35R30 53C35 65M32 PDFBibTeX XMLCite \textit{X. Xiong} et al., J. Comput. Appl. Math. 341, 1--11 (2018; Zbl 1440.65281) Full Text: DOI
Park, Y.; Reichel, L.; Rodriguez, G.; Yu, X. Parameter determination for Tikhonov regularization problems in general form. (English) Zbl 1391.65100 J. Comput. Appl. Math. 343, 12-25 (2018). MSC: 65F22 65F10 65R30 PDFBibTeX XMLCite \textit{Y. Park} et al., J. Comput. Appl. Math. 343, 12--25 (2018; Zbl 1391.65100) Full Text: DOI
Morigi, Serena; Reichel, Lothar; Sgallari, Fiorella Fractional Tikhonov regularization with a nonlinear penalty term. (English) Zbl 1368.65065 J. Comput. Appl. Math. 324, 142-154 (2017). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{S. Morigi} et al., J. Comput. Appl. Math. 324, 142--154 (2017; Zbl 1368.65065) Full Text: DOI
Mach, T.; Reichel, L.; Van Barel, M.; Vandebril, R. Adaptive cross approximation for ill-posed problems. (English) Zbl 1416.65565 J. Comput. Appl. Math. 303, 206-217 (2016). MSC: 65R32 45Q05 65F50 65F15 PDFBibTeX XMLCite \textit{T. Mach} et al., J. Comput. Appl. Math. 303, 206--217 (2016; Zbl 1416.65565) Full Text: DOI
Yang, Hu; Wang, Shaoxin A flexible condition number for weighted linear least squares problem and its statistical estimation. (English) Zbl 1327.65089 J. Comput. Appl. Math. 292, 320-328 (2016). MSC: 65F35 15A12 15A60 PDFBibTeX XMLCite \textit{H. Yang} and \textit{S. Wang}, J. Comput. Appl. Math. 292, 320--328 (2016; Zbl 1327.65089) Full Text: DOI
Bellalij, M.; Reichel, L.; Sadok, H. Some properties of range restricted GMRES methods. (English) Zbl 1321.65046 J. Comput. Appl. Math. 290, 310-318 (2015). MSC: 65F10 65F22 PDFBibTeX XMLCite \textit{M. Bellalij} et al., J. Comput. Appl. Math. 290, 310--318 (2015; Zbl 1321.65046) Full Text: DOI
Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems. (English) Zbl 1503.65075 J. Comput. Appl. Math. 288, 251-263 (2015). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., J. Comput. Appl. Math. 288, 251--263 (2015; Zbl 1503.65075) Full Text: DOI
Yang, Xiao-Juan; Wang, Li A modified Tikhonov regularization method. (English) Zbl 1328.65096 J. Comput. Appl. Math. 288, 180-192 (2015). MSC: 65F22 65F15 PDFBibTeX XMLCite \textit{X.-J. Yang} and \textit{L. Wang}, J. Comput. Appl. Math. 288, 180--192 (2015; Zbl 1328.65096) Full Text: DOI
Xu, Ling Application of the Newton iteration algorithm to the parameter estimation for dynamical systems. (English) Zbl 1314.93062 J. Comput. Appl. Math. 288, 33-43 (2015). MSC: 93E10 93A30 93E25 90C15 PDFBibTeX XMLCite \textit{L. Xu}, J. Comput. Appl. Math. 288, 33--43 (2015; Zbl 1314.93062) Full Text: DOI
Jia, Zhongxiao; Li, Cen Harmonic and refined harmonic shift-invert residual Arnoldi and Jacobi-Davidson methods for interior eigenvalue problems. (English) Zbl 1309.65041 J. Comput. Appl. Math. 282, 83-97 (2015). MSC: 65F15 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{C. Li}, J. Comput. Appl. Math. 282, 83--97 (2015; Zbl 1309.65041) Full Text: DOI arXiv
Walker, Ira J.; Torain, David S. II; Morgan, Morris H. III An eigenvalue search method using the Orr-Sommerfeld equation for shear flow. (English) Zbl 1429.76050 J. Comput. Appl. Math. 236, No. 11, 2795-2802 (2012). MSC: 76E05 76M99 65L15 PDFBibTeX XMLCite \textit{I. J. Walker} et al., J. Comput. Appl. Math. 236, No. 11, 2795--2802 (2012; Zbl 1429.76050) Full Text: DOI
Hochstenbach, Michiel E.; Reichel, Lothar Combining approximate solutions for linear discrete ill-posed problems. (English) Zbl 1241.65043 J. Comput. Appl. Math. 236, No. 8, 2179-2185 (2012). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{L. Reichel}, J. Comput. Appl. Math. 236, No. 8, 2179--2185 (2012; Zbl 1241.65043) Full Text: DOI
Grigori, Laura; Wakam, Desire Nuentsa; Xiang, Hua Saving flops in LU based shift-and-invert strategy. (English) Zbl 1196.65074 J. Comput. Appl. Math. 234, No. 12, 3216-3225 (2010). MSC: 65F15 65F05 PDFBibTeX XMLCite \textit{L. Grigori} et al., J. Comput. Appl. Math. 234, No. 12, 3216--3225 (2010; Zbl 1196.65074) Full Text: DOI
Hochstenbach, Michiel E. A Jacobi-Davidson type method for the product eigenvalue problem. (English) Zbl 1139.65028 J. Comput. Appl. Math. 212, No. 1, 46-62 (2008). MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{M. E. Hochstenbach}, J. Comput. Appl. Math. 212, No. 1, 46--62 (2008; Zbl 1139.65028) Full Text: DOI