Massey, Pedro Admissible subspaces and the subspace iteration method. (English) Zbl 07813312 BIT 64, No. 1, Paper No. 12, 36 p. (2024). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{P. Massey}, BIT 64, No. 1, Paper No. 12, 36 p. (2024; Zbl 07813312) Full Text: DOI
Noferini, Vanni Invertible bases and root vectors for analytic matrix-valued functions. (English) Zbl 07808041 Electron. J. Linear Algebra 40, 1-13 (2024). MSC: 13-XX PDFBibTeX XMLCite \textit{V. Noferini}, Electron. J. Linear Algebra 40, 1--13 (2024; Zbl 07808041) Full Text: DOI arXiv
De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. Generic eigenstructures of Hermitian pencils. (English) Zbl 07791527 SIAM J. Matrix Anal. Appl. 45, No. 1, 260-283 (2024). Reviewer: Roksana Słowik (Gliwice) MSC: 15A22 15A18 15A21 15B57 PDFBibTeX XMLCite \textit{F. De Terán} et al., SIAM J. Matrix Anal. Appl. 45, No. 1, 260--283 (2024; Zbl 07791527) Full Text: DOI arXiv
Li, Haibo The joint bidiagonalization of a matrix pair with inaccurate inner iterations. (English) Zbl 07791526 SIAM J. Matrix Anal. Appl. 45, No. 1, 232-259 (2024). MSC: 65F25 65F20 15A18 65G99 PDFBibTeX XMLCite \textit{H. Li}, SIAM J. Matrix Anal. Appl. 45, No. 1, 232--259 (2024; Zbl 07791526) Full Text: DOI arXiv
Gavva, Surya Teja; S., Karthik C.; Punna, Sharath Clustering categorical data: soft rounding \(k\)-modes. (English) Zbl 07790917 Inf. Comput. 296, Article ID 105115, 11 p. (2024). MSC: 68Qxx PDFBibTeX XMLCite \textit{S. T. Gavva} et al., Inf. Comput. 296, Article ID 105115, 11 p. (2024; Zbl 07790917) Full Text: DOI arXiv
Noschese, Silvia; Reichel, Lothar Network analysis with the aid of the path length matrix. (English) Zbl 07785654 Numer. Algorithms 95, No. 1, 451-470 (2024). Reviewer: Raffaella Pavani (Milano) MSC: 68R10 65F15 PDFBibTeX XMLCite \textit{S. Noschese} and \textit{L. Reichel}, Numer. Algorithms 95, No. 1, 451--470 (2024; Zbl 07785654) Full Text: DOI arXiv OA License
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
Lanza, Alessandro; Pragliola, Monica; Sgallari, Fiorella Parameter-free restoration of piecewise smooth images. (English) Zbl 07799515 ETNA, Electron. Trans. Numer. Anal. 59, 202-229 (2023). MSC: 68U10 94A08 PDFBibTeX XMLCite \textit{A. Lanza} et al., ETNA, Electron. Trans. Numer. Anal. 59, 202--229 (2023; Zbl 07799515) Full Text: DOI Link
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
George, Santhosh; Jidesh, P.; Krishnendu, R. Finite dimensional realization of the FTR method with Raus and Gfrerer type discrepancy principle. (English) Zbl 07753867 Rend. Circ. Mat. Palermo (2) 72, No. 7, 3765-3787 (2023). MSC: 65F10 65F22 65R30 PDFBibTeX XMLCite \textit{S. George} et al., Rend. Circ. Mat. Palermo (2) 72, No. 7, 3765--3787 (2023; Zbl 07753867) Full Text: DOI
Yelugam, Raghu; Brito da Silva, Leonardo Enzo; Wunsch, Donald C. II Topological biclustering ARTMAP for identifying within bicluster relationships. (English) Zbl 1525.92023 Neural Netw. 160, 34-49 (2023). MSC: 92C40 62P10 62R40 PDFBibTeX XMLCite \textit{R. Yelugam} et al., Neural Netw. 160, 34--49 (2023; Zbl 1525.92023) Full Text: DOI
Herrmann, Benjamin; Baddoo, Peter J.; Dawson, Scott T. M.; Semaan, Richard; Brunton, Steven L.; Mckeon, Beverley J. Interpolatory input and output projections for flow control. (English) Zbl 07742515 J. Fluid Mech. 971, Paper No. A27, 29 p. (2023). MSC: 76-XX PDFBibTeX XMLCite \textit{B. Herrmann} et al., J. Fluid Mech. 971, Paper No. A27, 29 p. (2023; Zbl 07742515) Full Text: DOI OA License
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
Alperen, Abdullah; Aktulga, Hasan Metin; Maris, Pieter; Yang, Chao Hybrid eigensolvers for nuclear configuration interaction calculations. (English) Zbl 07740247 Comput. Phys. Commun. 292, Article ID 108888, 15 p. (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{A. Alperen} et al., Comput. Phys. Commun. 292, Article ID 108888, 15 p. (2023; Zbl 07740247) Full Text: DOI arXiv
Pes, Federica; Rodriguez, Giuseppe A projection method for general form linear least-squares problems. (English) Zbl 1520.65022 Appl. Math. Lett. 145, Article ID 108780, 7 p. (2023). MSC: 65F20 PDFBibTeX XMLCite \textit{F. Pes} and \textit{G. Rodriguez}, Appl. Math. Lett. 145, Article ID 108780, 7 p. (2023; Zbl 1520.65022) Full Text: DOI
Li, Jianfei; Huang, Chaoyan; Chan, Raymond; Feng, Han; Ng, Michael K.; Zeng, Tieyong Spherical image inpainting with frame transformation and data-driven prior deep networks. (English) Zbl 07724135 SIAM J. Imaging Sci. 16, No. 3, 1177-1194 (2023). MSC: 68Q25 68R10 68U05 PDFBibTeX XMLCite \textit{J. Li} et al., SIAM J. Imaging Sci. 16, No. 3, 1177--1194 (2023; Zbl 07724135) 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
Español, Malena I.; Pasha, Mirjeta Variable projection methods for separable nonlinear inverse problems with general-form Tikhonov regularization. (English) Zbl 07707676 Inverse Probl. 39, No. 8, Article ID 084002, 25 p. (2023). MSC: 65Fxx 90Cxx 65Kxx PDFBibTeX XMLCite \textit{M. I. Español} and \textit{M. Pasha}, Inverse Probl. 39, No. 8, Article ID 084002, 25 p. (2023; Zbl 07707676) Full Text: DOI
Buccini, Alessandro; Onisk, Lucas; Reichel, Lothar Range restricted iterative methods for linear discrete ill-posed problems. (English) Zbl 1512.65069 ETNA, Electron. Trans. Numer. Anal. 58, 348-377 (2023). MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{A. Buccini} et al., ETNA, Electron. Trans. Numer. Anal. 58, 348--377 (2023; Zbl 1512.65069) Full Text: DOI Link
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
Sadkane, Miloud A smallest singular value method for nonlinear eigenvalue problems. (English) Zbl 1516.65037 Linear Multilinear Algebra 71, No. 1, 16-28 (2023). MSC: 65H17 PDFBibTeX XMLCite \textit{M. Sadkane}, Linear Multilinear Algebra 71, No. 1, 16--28 (2023; Zbl 1516.65037) Full Text: DOI
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
Vermeersch, Christof; De Moor, Bart Recursive algorithms to update a numerical basis matrix of the null space of the block row, (banded) block Toeplitz, and block Macaulay matrix. (English) Zbl 07682247 SIAM J. Sci. Comput. 45, No. 2, A596-A620 (2023). MSC: 65F25 65F15 65F50 15B05 PDFBibTeX XMLCite \textit{C. Vermeersch} and \textit{B. De Moor}, SIAM J. Sci. Comput. 45, No. 2, A596--A620 (2023; Zbl 07682247) Full Text: DOI
Jiang, Yutong; Wu, Gang; Jiang, Long A semi-randomized Kaczmarz method with simple random sampling for large-scale linear systems. (English) Zbl 1515.65076 Adv. Comput. Math. 49, No. 2, Paper No. 20, 29 p. (2023). MSC: 65F10 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Adv. Comput. Math. 49, No. 2, Paper No. 20, 29 p. (2023; Zbl 1515.65076) Full Text: DOI
Ferrandi, Giulia; Hochstenbach, Michiel E.; Krejić, Nataša A harmonic framework for stepsize selection in gradient methods. (English) Zbl 1517.90097 Comput. Optim. Appl. 85, No. 1, 75-106 (2023). MSC: 90C20 90C30 65K05 65F15 65F10 PDFBibTeX XMLCite \textit{G. Ferrandi} et al., Comput. Optim. Appl. 85, No. 1, 75--106 (2023; Zbl 1517.90097) Full Text: DOI arXiv
Zhang, Wenqian; Huang, Guangxin A majorization-minimization Golub-Kahan bidiagonalization method for \(\ell_2-\ell_q\) mimimization with applications in image restorization. (English) Zbl 1511.94013 Inverse Probl. Imaging 17, No. 3, 562-583 (2023). MSC: 94A08 65K10 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{G. Huang}, Inverse Probl. Imaging 17, No. 3, 562--583 (2023; Zbl 1511.94013) Full Text: DOI
Reddy, G. D.; Pradeep, D. A class of parameter choice strategies for the finite dimensional weighted Tikhonov regularization scheme. (English) Zbl 1524.65179 Comput. Appl. Math. 42, No. 1, Paper No. 45, 21 p. (2023). MSC: 65F22 65R30 65R32 PDFBibTeX XMLCite \textit{G. D. Reddy} and \textit{D. Pradeep}, Comput. Appl. Math. 42, No. 1, Paper No. 45, 21 p. (2023; Zbl 1524.65179) Full Text: DOI
Kressner, Daniel; Šain Glibić, Ivana Singular quadratic eigenvalue problems: linearization and weak condition numbers. (English) Zbl 1508.65033 BIT 63, No. 1, Paper No. 18, 25 p. (2023). MSC: 65F15 15A18 65F35 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{I. Šain Glibić}, BIT 63, No. 1, Paper No. 18, 25 p. (2023; Zbl 1508.65033) Full Text: DOI arXiv
Naderi, Mohammad Hossein; Babaee, Hessam Adaptive sparse interpolation for accelerating nonlinear stochastic reduced-order modeling with time-dependent bases. (English) Zbl 07653042 Comput. Methods Appl. Mech. Eng. 405, Article ID 115813, 25 p. (2023). MSC: 65M99 65F15 PDFBibTeX XMLCite \textit{M. H. Naderi} and \textit{H. Babaee}, Comput. Methods Appl. Mech. Eng. 405, Article ID 115813, 25 p. (2023; Zbl 07653042) Full Text: DOI arXiv
Lorenz, Dirk A.; Schneppe, Felix Chambolle-Pock’s primal-dual method with mismatched adjoint. (English) Zbl 1512.90170 Appl. Math. Optim. 87, No. 2, Paper No. 22, 26 p. (2023). MSC: 90C25 49M29 65K10 PDFBibTeX XMLCite \textit{D. A. Lorenz} and \textit{F. Schneppe}, Appl. Math. Optim. 87, No. 2, Paper No. 22, 26 p. (2023; Zbl 1512.90170) Full Text: DOI arXiv
Baglama, James; Perović, Vasilije; Picucci, Jennifer Hybrid iterative refined restarted Lanczos bidiagonalization methods. (English) Zbl 1506.65060 Numer. Algorithms 92, No. 2, 1183-1212 (2023). MSC: 65F15 65F50 15A18 PDFBibTeX XMLCite \textit{J. Baglama} et al., Numer. Algorithms 92, No. 2, 1183--1212 (2023; Zbl 1506.65060) Full Text: DOI
El-Halouy, Smahane; Noschese, Silvia; Reichel, Lothar Perron communicability and sensitivity of multilayer networks. (English) Zbl 1508.65031 Numer. Algorithms 92, No. 1, 597-617 (2023). MSC: 65F15 05C50 15A18 PDFBibTeX XMLCite \textit{S. El-Halouy} et al., Numer. Algorithms 92, No. 1, 597--617 (2023; Zbl 1508.65031) Full Text: DOI arXiv
Bini, D. A.; Iannazzo, B.; Meini, B.; Meng, J.; Robol, L. Computing eigenvalues of semi-infinite quasi-Toeplitz matrices. (English) Zbl 1507.65075 Numer. Algorithms 92, No. 1, 89-118 (2023). MSC: 65F15 15A18 15B05 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Numer. Algorithms 92, No. 1, 89--118 (2023; Zbl 1507.65075) Full Text: DOI arXiv
Huang, Jinzhi; Jia, Zhongxiao A cross-product free Jacobi-Davidson type method for computing a partial generalized singular value decomposition of a large matrix pair. (English) Zbl 1507.65080 J. Sci. Comput. 94, No. 1, Paper No. 3, 32 p. (2023). MSC: 65F15 15A18 15A12 65F10 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Jia}, J. Sci. Comput. 94, No. 1, Paper No. 3, 32 p. (2023; Zbl 1507.65080) Full Text: DOI arXiv
Ben-Chen, Mirela (ed.); Chambolle, Antonin (ed.); Rumpf, Martin (ed.); Schröder, Peter (ed.) Mathematical imaging and surface processing. Abstracts from the workshop held August 21–27, 2022. (English) Zbl 1520.00019 Oberwolfach Rep. 19, No. 3, 2195-2266 (2022). MSC: 00B05 00B25 65-06 65D18 68Uxx PDFBibTeX XMLCite \textit{M. Ben-Chen} (ed.) et al., Oberwolfach Rep. 19, No. 3, 2195--2266 (2022; Zbl 1520.00019) Full Text: DOI
Zrida, Jalel; Bouazizi, M. H. Exact robust \(\mathcal{D}\)-stability analysis for linear dynamical systems with polynomial parameter perturbation. (English) Zbl 1506.93070 Int. J. Control 95, No. 11, 2885-2899 (2022). Reviewer: Petko Hr. Petkov (Sofia) MSC: 93D09 93C73 93C05 PDFBibTeX XMLCite \textit{J. Zrida} and \textit{M. H. Bouazizi}, Int. J. Control 95, No. 11, 2885--2899 (2022; Zbl 1506.93070) Full Text: DOI
Vermeersch, Christof; De Moor, Bart Two complementary block Macaulay matrix algorithms to solve multiparameter eigenvalue problems. (English) Zbl 1506.15010 Linear Algebra Appl. 654, 177-209 (2022). Reviewer: Raffaella Pavani (Milano) MSC: 15A18 15A22 65F15 90C33 PDFBibTeX XMLCite \textit{C. Vermeersch} and \textit{B. De Moor}, Linear Algebra Appl. 654, 177--209 (2022; Zbl 1506.15010) Full Text: DOI
Huang, Jinzhi; Jia, Zhongxiao Two harmonic Jacobi-Davidson methods for computing a partial generalized singular value decomposition of a large matrix pair. (English) Zbl 1502.65014 J. Sci. Comput. 93, No. 2, Paper No. 41, 29 p. (2022). MSC: 65F15 15A18 65F20 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Jia}, J. Sci. Comput. 93, No. 2, Paper No. 41, 29 p. (2022; Zbl 1502.65014) Full Text: DOI arXiv
Zhang, Hongwu One regularization method for a Cauchy problem of semilinear elliptic equation. (Chinese. English summary) Zbl 1513.35255 Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 1, 45-57 (2022). MSC: 35J61 65J20 PDFBibTeX XMLCite \textit{H. Zhang}, Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 1, 45--57 (2022; Zbl 1513.35255) Full Text: Link
Košir, Tomaž; Plestenjak, Bor On the singular two-parameter eigenvalue problem. II. (English) Zbl 1492.15007 Linear Algebra Appl. 649, 433-451 (2022). MSC: 15A18 15A21 15A22 15A69 65F15 PDFBibTeX XMLCite \textit{T. Košir} and \textit{B. Plestenjak}, Linear Algebra Appl. 649, 433--451 (2022; Zbl 1492.15007) 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
Palitta, Davide; Lefteriu, Sanda An efficient, memory-saving approach for the Loewner framework. (English) Zbl 1497.65069 J. Sci. Comput. 91, No. 2, Paper No. 31, 25 p. (2022). MSC: 65F15 15A18 15B05 PDFBibTeX XMLCite \textit{D. Palitta} and \textit{S. Lefteriu}, J. Sci. Comput. 91, No. 2, Paper No. 31, 25 p. (2022; Zbl 1497.65069) Full Text: DOI arXiv
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
Carrier, Erin; Heath, Michael T. Exploiting compression in solving discretized linear systems. (English) Zbl 1487.65034 ETNA, Electron. Trans. Numer. Anal. 55, 341-364 (2022). MSC: 65F10 65F22 65N22 PDFBibTeX XMLCite \textit{E. Carrier} and \textit{M. T. Heath}, ETNA, Electron. Trans. Numer. Anal. 55, 341--364 (2022; Zbl 1487.65034) Full Text: DOI
Xiong, Xiangtuan; Li, Zhenping; Li, Jun On an iterative fractional Tikhonov-Landweber method for ill-posed problems. (English) Zbl 1492.65152 J. Inverse Ill-Posed Probl. 30, No. 3, 323-330 (2022). MSC: 65J20 PDFBibTeX XMLCite \textit{X. Xiong} et al., J. Inverse Ill-Posed Probl. 30, No. 3, 323--330 (2022; Zbl 1492.65152) Full Text: DOI
Claes, Rob; Jarlebring, Elias; Meerbergen, Karl; Upadhyaya, Parikshit Linearizable eigenvector nonlinearities. (English) Zbl 1492.65086 SIAM J. Matrix Anal. Appl. 43, No. 2, 764-786 (2022). MSC: 65F15 65H17 PDFBibTeX XMLCite \textit{R. Claes} et al., SIAM J. Matrix Anal. Appl. 43, No. 2, 764--786 (2022; Zbl 1492.65086) Full Text: DOI arXiv
Jozi, Meisam; Karimi, Saeed Direct implementation of Tikhonov regularization for the first kind integral equation. (English) Zbl 1499.65749 J. Comput. Math. 40, No. 3, 337-355 (2022). MSC: 65R20 45B05 65F22 PDFBibTeX XMLCite \textit{M. Jozi} and \textit{S. Karimi}, J. Comput. Math. 40, No. 3, 337--355 (2022; Zbl 1499.65749) 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
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
Yang, Shuping; Xiong, Xiangtuan; Pan, Ping; Sun, Yue Stationary iterated weighted Tikhonov regularization method for identifying an unknown source term of time-fractional radial heat equation. (English) Zbl 1487.65144 Numer. Algorithms 90, No. 2, 881-903 (2022). MSC: 65M32 65M30 65J20 65M12 65M15 35B45 35B65 35K05 35R30 35R25 26A33 35R11 35Q79 PDFBibTeX XMLCite \textit{S. Yang} et al., Numer. Algorithms 90, No. 2, 881--903 (2022; Zbl 1487.65144) Full Text: DOI
Gidisu, Perfect Y.; Hochstenbach, Michiel E. A generalized CUR decomposition for matrix pairs. (English) Zbl 1492.65110 SIAM J. Math. Data Sci. 4, No. 1, 386-409 (2022). MSC: 65F55 15A23 65F15 PDFBibTeX XMLCite \textit{P. Y. Gidisu} and \textit{M. E. Hochstenbach}, SIAM J. Math. Data Sci. 4, No. 1, 386--409 (2022; Zbl 1492.65110) Full Text: DOI arXiv
Farooq, Aamir; Samar, Mahvish Sensitivity analysis for the generalized Cholesky block downdating problem. (English) Zbl 1486.15008 Linear Multilinear Algebra 70, No. 6, 997-1022 (2022). MSC: 15A12 15A24 15A23 15A60 65F35 PDFBibTeX XMLCite \textit{A. Farooq} and \textit{M. Samar}, Linear Multilinear Algebra 70, No. 6, 997--1022 (2022; Zbl 1486.15008) Full Text: DOI
Eisenmann, Henrik; Nakatsukasa, Yuji Solving two-parameter eigenvalue problems using an alternating method. (English) Zbl 1490.65059 Linear Algebra Appl. 643, 137-160 (2022). MSC: 65F15 15A18 15A69 PDFBibTeX XMLCite \textit{H. Eisenmann} and \textit{Y. Nakatsukasa}, Linear Algebra Appl. 643, 137--160 (2022; Zbl 1490.65059) Full Text: DOI arXiv
Bevilacqua, R.; Del Corso, G. M.; Gemignani, L. Orthogonal iterations on companion-like pencils. (English) Zbl 1487.65040 J. Sci. Comput. 91, No. 1, Paper No. 6, 22 p. (2022). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{R. Bevilacqua} et al., J. Sci. Comput. 91, No. 1, Paper No. 6, 22 p. (2022; Zbl 1487.65040) 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
De la Cruz Cabrera, Omar; Jin, Jiafeng; Noschese, Silvia; Reichel, Lothar Communication in complex networks. (English) Zbl 1485.90019 Appl. Numer. Math. 172, 186-205 (2022). MSC: 90B18 PDFBibTeX XMLCite \textit{O. De la Cruz Cabrera} et al., Appl. Numer. Math. 172, 186--205 (2022; Zbl 1485.90019) Full Text: DOI arXiv Link
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
Dong, Bo The homotopy method for the complete solution of quadratic two-parameter eigenvalue problems. (English) Zbl 1483.65059 J. Sci. Comput. 90, No. 1, Paper No. 18, 25 p. (2022). MSC: 65F15 15A22 15A69 15A18 34K20 PDFBibTeX XMLCite \textit{B. Dong}, J. Sci. Comput. 90, No. 1, Paper No. 18, 25 p. (2022; Zbl 1483.65059) Full Text: DOI
Duc, Phuong Nguyen; Binh, Ho Duy; Long, Le Dinh; Van, Ho Thi Kim Reconstructing the right-hand side of the Rayleigh-Stokes problem with nonlocal in time condition. (English) Zbl 1494.35184 Adv. Difference Equ. 2021, Paper No. 470, 18 p. (2021). MSC: 35R30 26A33 35R11 PDFBibTeX XMLCite \textit{P. N. Duc} et al., Adv. Difference Equ. 2021, Paper No. 470, 18 p. (2021; Zbl 1494.35184) Full Text: DOI
Xue, Xuemin; Xiong, Xiangtuan; Zhang, Yuanxiang Two fractional regularization methods for identifying the radiogenic source of the helium production-diffusion equation. (English) Zbl 1525.65090 AIMS Math. 6, No. 10, 11425-11448 (2021). MSC: 65M32 35K05 35R30 65J10 PDFBibTeX XMLCite \textit{X. Xue} et al., AIMS Math. 6, No. 10, 11425--11448 (2021; Zbl 1525.65090) Full Text: DOI
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
Otero, D.; La Torre, D.; Michailovich, O.; Vrscay, E. R. Optimization of structural similarity in mathematical imaging. (English) Zbl 1481.94028 Optim. Eng. 22, No. 4, 2367-2401 (2021). MSC: 94A08 90C25 68U10 68U05 65F22 45B05 PDFBibTeX XMLCite \textit{D. Otero} et al., Optim. Eng. 22, No. 4, 2367--2401 (2021; Zbl 1481.94028) Full Text: DOI arXiv
Liao, Li-Dan; Li, Rui-Xia; Wang, Xiang A new iterative method for a class of linear system arising from image restoration problems. (English) Zbl 1480.65072 Results Appl. Math. 12, Article ID 100221, 13 p. (2021). MSC: 65F10 65F50 65N22 65F35 94A08 PDFBibTeX XMLCite \textit{L.-D. Liao} et al., Results Appl. Math. 12, Article ID 100221, 13 p. (2021; Zbl 1480.65072) 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
Miao, Hong-Yi; Wang, Li Preconditioned inexact Newton-like method for large nonsymmetric eigenvalue problems. (English) Zbl 1476.65053 Numer. Algebra Control Optim. 11, No. 4, 677-685 (2021). MSC: 65F15 65N25 65F10 PDFBibTeX XMLCite \textit{H.-Y. Miao} and \textit{L. Wang}, Numer. Algebra Control Optim. 11, No. 4, 677--685 (2021; Zbl 1476.65053) Full Text: DOI
Bai, Xianglan; Buccini, Alessandro; Reichel, Lothar Golub-Kahan vs. Monte Carlo: a comparison of bidiagonlization and a randomized SVD method for the solution of linear discrete ill-posed problems. (English) Zbl 1490.65066 BIT 61, No. 4, 1093-1114 (2021). MSC: 65F22 65F15 PDFBibTeX XMLCite \textit{X. Bai} et al., BIT 61, No. 4, 1093--1114 (2021; Zbl 1490.65066) Full Text: DOI
Brimacombe, Chris; Corless, Robert M.; Zamir, Mair Computation and applications of Mathieu functions: a historical perspective. (English) Zbl 1479.33014 SIAM Rev. 63, No. 4, 653-720 (2021). MSC: 33F05 33-03 33E10 65D20 PDFBibTeX XMLCite \textit{C. Brimacombe} et al., SIAM Rev. 63, No. 4, 653--720 (2021; Zbl 1479.33014) Full Text: DOI arXiv
Samar, Mahvish Condition numbers for a linear function of the solution to the constrained and weighted least squares problem and their statistical estimation. (English) Zbl 07418945 Taiwanese J. Math. 25, No. 4, 717-741 (2021). MSC: 65F20 65F30 65F35 PDFBibTeX XMLCite \textit{M. Samar}, Taiwanese J. Math. 25, No. 4, 717--741 (2021; Zbl 07418945) Full Text: DOI
Luiken, Nick; van Leeuwen, Tristan Relaxed regularization for linear inverse problems. (English) Zbl 1490.65071 SIAM J. Sci. Comput. 43, No. 5, S269-S292 (2021). MSC: 65F22 65F10 15A18 15A29 PDFBibTeX XMLCite \textit{N. Luiken} and \textit{T. van Leeuwen}, SIAM J. Sci. Comput. 43, No. 5, S269--S292 (2021; Zbl 1490.65071) Full Text: DOI
Jiang, Jiahua; Chung, Julianne; de Sturler, Eric Hybrid projection methods with recycling for inverse problems. (English) Zbl 1490.65069 SIAM J. Sci. Comput. 43, No. 5, S146-S172 (2021). MSC: 65F22 65F10 68U10 PDFBibTeX XMLCite \textit{J. Jiang} et al., SIAM J. Sci. Comput. 43, No. 5, S146--S172 (2021; Zbl 1490.65069) Full Text: DOI
Urschel, John C. Uniform error estimates for the Lanczos method. (English) Zbl 07414035 SIAM J. Matrix Anal. Appl. 42, No. 3, 1423-1450 (2021). MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{J. C. Urschel}, SIAM J. Matrix Anal. Appl. 42, No. 3, 1423--1450 (2021; Zbl 07414035) Full Text: DOI arXiv
Bender, Matías R.; Faugère, Jean-Charles; Mantzaflaris, Angelos; Tsigaridas, Elias Koszul-type determinantal formulas for families of mixed multilinear systems. (English) Zbl 1477.13053 SIAM J. Appl. Algebra Geom. 5, No. 4, 589-619 (2021). Reviewer: Carlos D’Andrea (Barcelona) MSC: 13P15 14Q20 15A18 PDFBibTeX XMLCite \textit{M. R. Bender} et al., SIAM J. Appl. Algebra Geom. 5, No. 4, 589--619 (2021; Zbl 1477.13053) Full Text: DOI arXiv
Palitta, Davide; Kürschner, Patrick On the convergence of Krylov methods with low-rank truncations. (English) Zbl 1482.65067 Numer. Algorithms 88, No. 3, 1383-1417 (2021). MSC: 65F45 15A06 15A24 PDFBibTeX XMLCite \textit{D. Palitta} and \textit{P. Kürschner}, Numer. Algorithms 88, No. 3, 1383--1417 (2021; Zbl 1482.65067) Full Text: DOI arXiv
Tang, Hong; Dai, Hong-Liang Dynamic instability zone analysis of laminated piezoelectric cylindrical shell with delamination under hygrothermal effects. (English) Zbl 1481.74518 Appl. Math. Modelling 99, 27-40 (2021). MSC: 74K25 74F15 PDFBibTeX XMLCite \textit{H. Tang} and \textit{H.-L. Dai}, Appl. Math. Modelling 99, 27--40 (2021; Zbl 1481.74518) Full Text: DOI
Wu, Nian-Ci; Xiang, Hua Convergence analyses based on frequency decomposition for the randomized row iterative method. (English) Zbl 1481.65053 Inverse Probl. 37, No. 10, Article ID 105004, 21 p. (2021). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{N.-C. Wu} and \textit{H. Xiang}, Inverse Probl. 37, No. 10, Article ID 105004, 21 p. (2021; Zbl 1481.65053) Full Text: DOI
Dölz, Jürgen; Egger, Herbert; Schlottbom, Matthias A model reduction approach for inverse problems with operator valued data. (English) Zbl 1473.65067 Numer. Math. 148, No. 4, 889-917 (2021). MSC: 65J22 46N40 PDFBibTeX XMLCite \textit{J. Dölz} et al., Numer. Math. 148, No. 4, 889--917 (2021; Zbl 1473.65067) Full Text: DOI arXiv
Rodriguez, Jose Israel; Du, Jin-Hong; You, Yiling; Lim, Lek-Heng Fiber product homotopy method for multiparameter eigenvalue problems. (English) Zbl 1473.65061 Numer. Math. 148, No. 4, 853-888 (2021). MSC: 65H20 65H17 65H10 35P30 PDFBibTeX XMLCite \textit{J. I. Rodriguez} et al., Numer. Math. 148, No. 4, 853--888 (2021; Zbl 1473.65061) Full Text: DOI arXiv
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
Luiken, Nick; van Leeuwen, Tristan Relaxed regularization for linear inverse problems. (English) Zbl 1512.65071 SIAM J. Sci. Comput. 43, No. 3, S269-S292 (2021). MSC: 65F22 65F10 15A18 15A29 PDFBibTeX XMLCite \textit{N. Luiken} and \textit{T. van Leeuwen}, SIAM J. Sci. Comput. 43, No. 3, S269--S292 (2021; Zbl 1512.65071) Full Text: DOI arXiv
Jiang, Jiahua; Chung, Julianne; de Sturler, Eric Hybrid projection methods with recycling for inverse problems. (English) Zbl 1512.65070 SIAM J. Sci. Comput. 43, No. 3, S146-S172 (2021). MSC: 65F22 65F10 92C55 PDFBibTeX XMLCite \textit{J. Jiang} et al., SIAM J. Sci. Comput. 43, No. 3, S146--S172 (2021; Zbl 1512.65070) Full Text: DOI arXiv
Chouzenoux, Emilie; Pesquet, Jean-Christophe; Riddell, Cyril; Savanier, Marion; Trousset, Yves Convergence of proximal gradient algorithm in the presence of adjoint mismatch. (English) Zbl 1466.94004 Inverse Probl. 37, No. 6, Article ID 065009, 29 p. (2021). MSC: 94A08 92C55 65K10 90C25 68U10 49J40 PDFBibTeX XMLCite \textit{E. Chouzenoux} et al., Inverse Probl. 37, No. 6, Article ID 065009, 29 p. (2021; Zbl 1466.94004) Full Text: DOI
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
Pontes Duff, Igor; Kürschner, Patrick Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems. (English) Zbl 1469.93010 Linear Algebra Appl. 623, 367-397 (2021). MSC: 93B11 93A15 93C05 93C55 15A24 PDFBibTeX XMLCite \textit{I. Pontes Duff} and \textit{P. Kürschner}, Linear Algebra Appl. 623, 367--397 (2021; Zbl 1469.93010) 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
Huang, Jinzhi; Jia, Zhongxiao On choices of formulations of computing the generalized singular value decomposition of a large matrix pair. (English) Zbl 1465.65027 Numer. Algorithms 87, No. 2, 689-718 (2021). MSC: 65F15 65F35 15A12 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Jia}, Numer. Algorithms 87, No. 2, 689--718 (2021; Zbl 1465.65027) Full Text: DOI arXiv
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
Wang, Shaoxin; Yang, Hu Conditioning theory of the equality constrained quadratic programming and its applications. (English) Zbl 1467.65037 Linear Multilinear Algebra 69, No. 6, 1161-1183 (2021). MSC: 65F35 15A12 15A60 PDFBibTeX XMLCite \textit{S. Wang} and \textit{H. Yang}, Linear Multilinear Algebra 69, No. 6, 1161--1183 (2021; Zbl 1467.65037) Full Text: DOI
Samar, Mahvish; Li, Hanyu; Wei, Yimin Condition numbers for the \(K\)-weighted pseudoinverse \(L^\dagger_K\) and their statistical estimation. (English) Zbl 1467.65036 Linear Multilinear Algebra 69, No. 4, 752-770 (2021). MSC: 65F35 65F20 15A12 15A60 PDFBibTeX XMLCite \textit{M. Samar} et al., Linear Multilinear Algebra 69, No. 4, 752--770 (2021; Zbl 1467.65036) Full Text: DOI
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
Lange, Marko; Rump, Siegfried M. Verified inclusions for a nearest matrix of specified rank deficiency via a generalization of Wedin’s \(\sin (\theta)\) theorem. (English) Zbl 1470.65088 BIT 61, No. 1, 361-380 (2021). MSC: 65F99 15A03 PDFBibTeX XMLCite \textit{M. Lange} and \textit{S. M. Rump}, BIT 61, No. 1, 361--380 (2021; Zbl 1470.65088) Full Text: DOI
Huynh, Le Nhat; Zhou, Yong; O’Regan, Donal; Tuan, Nguyen Huy Fractional Landweber method for an initial inverse problem for time-fractional wave equations. (English) Zbl 1460.35375 Appl. Anal. 100, No. 4, 860-878 (2021). MSC: 35R11 35A25 35R30 35L20 PDFBibTeX XMLCite \textit{L. N. Huynh} et al., Appl. Anal. 100, No. 4, 860--878 (2021; Zbl 1460.35375) Full Text: DOI
Vologiannidis, Stavros; Antoniou, Efstathios On the reduction of repetitive processes into singular and non-singular Roesser models. (English) Zbl 07326876 Multidimensional Syst. Signal Process. 32, No. 2, 559-572 (2021). MSC: 65F99 94A08 PDFBibTeX XMLCite \textit{S. Vologiannidis} and \textit{E. Antoniou}, Multidimensional Syst. Signal Process. 32, No. 2, 559--572 (2021; Zbl 07326876) Full Text: DOI
Cho, Taewon; Chung, Julianne; Jiang, Jiahua Hybrid projection methods for large-scale inverse problems with mixed Gaussian priors. (English) Zbl 1464.65038 Inverse Probl. 37, No. 4, Article ID 044002, 26 p. (2021). MSC: 65F22 62F15 PDFBibTeX XMLCite \textit{T. Cho} et al., Inverse Probl. 37, No. 4, Article ID 044002, 26 p. (2021; Zbl 1464.65038) Full Text: DOI arXiv
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
Maslakov, M. L. Choice of regularization parameter based on the regularized solution reconstruction in adaptive signal correction problem. (English. Russian original) Zbl 1467.45005 Comput. Math. Math. Phys. 61, No. 1, 43-52 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 1, 47-56 (2021). MSC: 45E10 65R30 PDFBibTeX XMLCite \textit{M. L. Maslakov}, Comput. Math. Math. Phys. 61, No. 1, 43--52 (2021; Zbl 1467.45005); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 1, 47--56 (2021) Full Text: DOI
Chen, Xiao-Ping; Wei, Wei; Pan, Xiao-Ming Modified successive approximation methods for the nonlinear eigenvalue problems. (English) Zbl 1460.65053 Appl. Numer. Math. 164, 190-198 (2021). MSC: 65H17 PDFBibTeX XMLCite \textit{X.-P. Chen} et al., Appl. Numer. Math. 164, 190--198 (2021; Zbl 1460.65053) Full Text: DOI
Yang, Shuping; Xiong, Xiangtuan; Nie, Yan Iterated fractional Tikhonov regularization method for solving the spherically symmetric backward time-fractional diffusion equation. (English) Zbl 1467.65090 Appl. Numer. Math. 160, 217-241 (2021). Reviewer: Michael Jung (Dresden) MSC: 65M22 65M15 65J20 60H40 35R11 35R30 35R25 PDFBibTeX XMLCite \textit{S. Yang} et al., Appl. Numer. Math. 160, 217--241 (2021; Zbl 1467.65090) Full Text: DOI