Yang, Fan; Cao, Ying; Li, Xiao-Xiao Two regularization methods for identifying the source term of Caputo-Hadamard time-fractional diffusion equation. (English) Zbl 07795470 Math. Methods Appl. Sci. 46, No. 15, 16170-16202 (2023). MSC: 35R25 35R11 35R30 47A52 PDFBibTeX XMLCite \textit{F. Yang} et al., Math. Methods Appl. Sci. 46, No. 15, 16170--16202 (2023; Zbl 07795470) Full Text: DOI
Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor Solving singular generalized eigenvalue problems. II: Projection and augmentation. (English) Zbl 1526.65011 SIAM J. Matrix Anal. Appl. 44, No. 4, 1589-1618 (2023). MSC: 65F15 15A18 15A22 15A21 47A55 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1589--1618 (2023; Zbl 1526.65011) Full Text: DOI arXiv
Lu, Song; Xu, Xianmin Numerical investigations on trace finite element methods for the Laplace-Beltrami eigenvalue problem. (English) Zbl 1522.65194 J. Sci. Comput. 97, No. 1, Paper No. 12, 31 p. (2023). MSC: 65N25 65N30 65F15 65F22 47A55 15A18 58J50 PDFBibTeX XMLCite \textit{S. Lu} and \textit{X. Xu}, J. Sci. Comput. 97, No. 1, Paper No. 12, 31 p. (2023; Zbl 1522.65194) Full Text: DOI arXiv
Chouzenoux, Emilie; Contreras, Andrés; Pesquet, Jean-Christophe; Savanier, Marion Convergence results for primal-dual algorithms in the presence of adjoint mismatch. (English) Zbl 1517.65055 SIAM J. Imaging Sci. 16, No. 1, 1-34 (2023). MSC: 65K10 62H35 94A08 90C25 47H05 PDFBibTeX XMLCite \textit{E. Chouzenoux} et al., SIAM J. Imaging Sci. 16, No. 1, 1--34 (2023; Zbl 1517.65055) Full Text: DOI
Mekoth, Chitra; George, Santhosh; Jidesh, P.; Cho, Yeol Je Projection method for fractional Lavrentiev regularisation method in Hilbert scales. (English) Zbl 07687038 J. Anal. 31, No. 2, 1303-1333 (2023). Reviewer: Akhtar Khan (Rochester) MSC: 47A52 65R10 65J10 47H09 49J30 PDFBibTeX XMLCite \textit{C. Mekoth} et al., J. Anal. 31, No. 2, 1303--1333 (2023; Zbl 07687038) Full Text: DOI
Brennan, Michael C.; Embree, Mark; Gugercin, Serkan Contour integral methods for nonlinear eigenvalue problems: a systems theoretic approach. (English) Zbl 07683990 SIAM Rev. 65, No. 2, 439-470 (2023). MSC: 47J10 65H17 PDFBibTeX XMLCite \textit{M. C. Brennan} et al., SIAM Rev. 65, No. 2, 439--470 (2023; Zbl 07683990) Full Text: DOI arXiv
Öztürk, Hasen Mekki Asymptotic behaviour of the non-real pair-eigenvalues of a two parameter eigenvalue problem. (English) Zbl 1514.15015 Complex Anal. Oper. Theory 17, No. 4, Paper No. 45, 18 p. (2023). Reviewer: Julio Benítez Lopez (Valencia) MSC: 15A18 47A11 47A25 PDFBibTeX XMLCite \textit{H. M. Öztürk}, Complex Anal. Oper. Theory 17, No. 4, Paper No. 45, 18 p. (2023; Zbl 1514.15015) Full Text: DOI
Yang, Fan; Sun, Qiaoxi; Li, Xiaoxiao Two regularization methods for identifying the source term problem on the time-fractional diffusion equation with a hyper-Bessel operator. (English) Zbl 1499.35706 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1485-1518 (2022). MSC: 35R25 47A52 35R30 PDFBibTeX XMLCite \textit{F. Yang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1485--1518 (2022; Zbl 1499.35706) Full Text: DOI
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
Lampe, Jörg; Voss, Heinrich A survey on variational characterizations for nonlinear eigenvalue problems. (English) Zbl 07436835 ETNA, Electron. Trans. Numer. Anal. 55, 1-75 (2022). MSC: 65-XX 35P30 47A52 47A75 47J10 65F15 PDFBibTeX XMLCite \textit{J. Lampe} and \textit{H. Voss}, ETNA, Electron. Trans. Numer. Anal. 55, 1--75 (2022; Zbl 07436835) Full Text: DOI Link
Regińska, Teresa A new heuristic parameter choice rule in Tikhonov regularization applied for Ritz approximation of an ill-posed problem. (English) Zbl 1480.65138 Appl. Math. 48, No. 2, 111-123 (2021). MSC: 65J20 47A52 65J22 PDFBibTeX XMLCite \textit{T. Regińska}, Appl. Math. 48, No. 2, 111--123 (2021; Zbl 1480.65138) Full Text: DOI
Fan, Bin; Azaïez, Mejdi; Xu, Chuanju An extension of the Landweber regularization for a backward time fractional wave problem. (English) Zbl 1476.65218 Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2893-2916 (2021). MSC: 65M32 35R11 47A52 35L05 PDFBibTeX XMLCite \textit{B. Fan} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2893--2916 (2021; Zbl 1476.65218) Full Text: DOI
Ringh, Emil; Jarlebring, Elias Nonlinearizing two-parameter eigenvalue problems. (English) Zbl 07365300 SIAM J. Matrix Anal. Appl. 42, No. 2, 775-799 (2021). MSC: 65F15 15A18 47J10 65H17 15A22 15A69 PDFBibTeX XMLCite \textit{E. Ringh} and \textit{E. Jarlebring}, SIAM J. Matrix Anal. Appl. 42, No. 2, 775--799 (2021; Zbl 07365300) Full Text: DOI arXiv
Gerth, Daniel A new interpretation of (Tikhonov) regularization. (English) Zbl 1503.65119 Inverse Probl. 37, No. 6, Article ID 064002, 23 p. (2021). MSC: 65J20 65J10 47A52 PDFBibTeX XMLCite \textit{D. Gerth}, Inverse Probl. 37, No. 6, Article ID 064002, 23 p. (2021; Zbl 1503.65119) Full Text: DOI arXiv
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
Frommer, Andreas; Jacob, Birgit; Vorberg, Lukas; Wyss, Christian; Zwaan, Ian Pseudospectrum enclosures by discretization. (English) Zbl 1496.47009 Integral Equations Oper. Theory 93, No. 1, Paper No. 9, 32 p. (2021). Reviewer: Ali Shukur (Minsk) MSC: 47A10 47A12 PDFBibTeX XMLCite \textit{A. Frommer} et al., Integral Equations Oper. Theory 93, No. 1, Paper No. 9, 32 p. (2021; Zbl 1496.47009) Full Text: DOI arXiv
Mekoth, Chitra; George, Santhosh; Jidesh, P. Fractional Tikhonov regularization method in Hilbert scales. (English) Zbl 1474.47035 Appl. Math. Comput. 392, Article ID 125701, 26 p. (2021). MSC: 47A52 65R10 65J10 47H09 49J30 PDFBibTeX XMLCite \textit{C. Mekoth} et al., Appl. Math. Comput. 392, Article ID 125701, 26 p. (2021; Zbl 1474.47035) Full Text: DOI
Leben, Leslie; Martínez Pería, Francisco; Philipp, Friedrich; Trunk, Carsten; Winkler, Henrik Finite rank perturbations of linear relations and matrix pencils. (English) Zbl 1515.47001 Complex Anal. Oper. Theory 15, No. 2, Paper No. 37, 38 p. (2021). MSC: 47A06 47A55 47A56 PDFBibTeX XMLCite \textit{L. Leben} et al., Complex Anal. Oper. Theory 15, No. 2, Paper No. 37, 38 p. (2021; Zbl 1515.47001) Full Text: DOI arXiv
Luc, Nguyen Hoang; Huynh, Le Nhat; O’Regan, Donal; Can, Nguyen Huu Regularization of the fractional Rayleigh-Stokes equation using a fractional Landweber method. (English) Zbl 1486.65055 Adv. Difference Equ. 2020, Paper No. 459, 21 p. (2020). MSC: 65J20 65J10 35R11 65R20 47A52 26A33 PDFBibTeX XMLCite \textit{N. H. Luc} et al., Adv. Difference Equ. 2020, Paper No. 459, 21 p. (2020; Zbl 1486.65055) Full Text: DOI
Kanagaraj, K.; Reddy, G. D.; George, Santhosh Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates. (English) Zbl 1510.47075 J. Appl. Math. Comput. 63, No. 1-2, 87-105 (2020). MSC: 47J06 65J20 65J15 PDFBibTeX XMLCite \textit{K. Kanagaraj} et al., J. Appl. Math. Comput. 63, No. 1--2, 87--105 (2020; Zbl 1510.47075) Full Text: DOI
Pappas, Dimitrios On the numerical range of EP matrices. (English) Zbl 1499.15076 Facta Univ., Ser. Math. Inf. 35, No. 4, 1079-1089 (2020). MSC: 15A60 47A12 15A09 PDFBibTeX XMLCite \textit{D. Pappas}, Facta Univ., Ser. Math. Inf. 35, No. 4, 1079--1089 (2020; Zbl 1499.15076) Full Text: DOI
Gil’, Michael Conservation of the number of the eigenvalues of two-parameter matrix problems in bounded domains under perturbations. (English) Zbl 1437.15012 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 66, No. 1, 41-49 (2020). MSC: 15A18 15A22 47A55 PDFBibTeX XMLCite \textit{M. Gil'}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 66, No. 1, 41--49 (2020; Zbl 1437.15012) Full Text: DOI
Hofmann, Bernd; Plato, Robert Convergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty term. (English) Zbl 07192776 ETNA, Electron. Trans. Numer. Anal. 53, 313-328 (2020). MSC: 65J20 65J15 65J22 47J06 47J05 PDFBibTeX XMLCite \textit{B. Hofmann} and \textit{R. Plato}, ETNA, Electron. Trans. Numer. Anal. 53, 313--328 (2020; Zbl 07192776) Full Text: DOI arXiv Link
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
Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor Solving singular generalized eigenvalue problems by a rank-completing perturbation. (English) Zbl 1435.65056 SIAM J. Matrix Anal. Appl. 40, No. 3, 1022-1046 (2019). MSC: 65F15 15A18 15A22 15A21 47A55 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 1022--1046 (2019; Zbl 1435.65056) Full Text: DOI arXiv
Katta, Ravinder; Reddy, G. D.; Sukavanam, N. Computation of control for linear approximately controllable system using weighted Tikhonov regularization. (English) Zbl 1426.93027 Appl. Math. Comput. 317, 252-263 (2018). MSC: 93B05 47A52 65J10 93C25 PDFBibTeX XMLCite \textit{R. Katta} et al., Appl. Math. Comput. 317, 252--263 (2018; Zbl 1426.93027) Full Text: DOI
Lietaert, Pieter; Meerbergen, Karl; Tisseur, Françoise Compact two-sided Krylov methods for nonlinear eigenvalue problems. (English) Zbl 1397.65056 SIAM J. Sci. Comput. 40, No. 5, A2801-A2829 (2018). MSC: 65F15 65F25 15A18 15A22 41A20 47J10 PDFBibTeX XMLCite \textit{P. Lietaert} et al., SIAM J. Sci. Comput. 40, No. 5, A2801--A2829 (2018; Zbl 1397.65056) Full Text: DOI
Xiong, Xiangtuan; Xue, Xuemin; Qian, Zhi A modified iterative regularization method for ill-posed problems. (English) Zbl 1375.65077 Appl. Numer. Math. 122, 108-128 (2017). MSC: 65J20 65J10 47A52 65D18 94A08 PDFBibTeX XMLCite \textit{X. Xiong} et al., Appl. Numer. Math. 122, 108--128 (2017; Zbl 1375.65077) Full Text: DOI
Sorensen, D. C.; Embree, Mark A DEIM induced CUR factorization. (English) Zbl 1382.65121 SIAM J. Sci. Comput. 38, No. 3, A1454-A1482 (2016). MSC: 65F30 15A23 47A58 65F35 68W25 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{M. Embree}, SIAM J. Sci. Comput. 38, No. 3, A1454--A1482 (2016; Zbl 1382.65121) Full Text: DOI arXiv
Cade, Patrick; Yang, Rongwei Projective spectrum and cyclic cohomology. (English) Zbl 1297.46051 J. Funct. Anal. 265, No. 9, 1916-1933 (2013). MSC: 46M20 46H05 47A13 PDFBibTeX XMLCite \textit{P. Cade} and \textit{R. Yang}, J. Funct. Anal. 265, No. 9, 1916--1933 (2013; Zbl 1297.46051) Full Text: DOI arXiv
Schwetlick, Hubert; Schreiber, Kathrin Nonlinear Rayleigh functionals. (English) Zbl 1317.65100 Linear Algebra Appl. 436, No. 10, 3991-4016 (2012). MSC: 65F15 47A10 65H17 PDFBibTeX XMLCite \textit{H. Schwetlick} and \textit{K. Schreiber}, Linear Algebra Appl. 436, No. 10, 3991--4016 (2012; Zbl 1317.65100) Full Text: DOI
Simoncini, Valeria; Szyld, Daniel B. On the field of values of oblique projections. (English) Zbl 1195.47003 Linear Algebra Appl. 433, No. 4, 810-818 (2010). Reviewer: Pei Yuan Wu (Hsinchu) MSC: 47A12 15A60 46C99 46E99 PDFBibTeX XMLCite \textit{V. Simoncini} and \textit{D. B. Szyld}, Linear Algebra Appl. 433, No. 4, 810--818 (2010; Zbl 1195.47003) Full Text: DOI
Garcia, Stephan Ramon Approximate antilinear eigenvalue problems and related inequalities. (English) Zbl 1130.47007 Proc. Am. Math. Soc. 136, No. 1, 171-179 (2008). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47A30 47A75 47A10 PDFBibTeX XMLCite \textit{S. R. Garcia}, Proc. Am. Math. Soc. 136, No. 1, 171--179 (2008; Zbl 1130.47007) Full Text: DOI