Li, Chong; Ng, Kung Fu Convergence analysis of the Gauss-Newton method for convex inclusion problems and convex composite optimization. (English) Zbl 07326968 Pure Appl. Funct. Anal. 5, No. 3, 591-619 (2020). MSC: 47J15 65H10 41A29 PDF BibTeX XML Cite \textit{C. Li} and \textit{K. F. Ng}, Pure Appl. Funct. Anal. 5, No. 3, 591--619 (2020; Zbl 07326968) Full Text: Link
Zhang, Daoping; Chen, Ke 3D orientation-preserving variational models for accurate image registration. (English) Zbl 07292238 SIAM J. Imaging Sci. 13, No. 3, 1653-1691 (2020). MSC: 65K10 65D18 68U10 49M15 90C30 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{K. Chen}, SIAM J. Imaging Sci. 13, No. 3, 1653--1691 (2020; Zbl 07292238) Full Text: DOI
Shen, Yunqiu; Ypma, Tjalling J. Numerical solution of separable nonlinear equations with a singular matrix at the solution. (English) Zbl 07290714 Numer. Algorithms 85, No. 4, 1195-1211 (2020). MSC: 65H10 15A60 PDF BibTeX XML Cite \textit{Y. Shen} and \textit{T. J. Ypma}, Numer. Algorithms 85, No. 4, 1195--1211 (2020; Zbl 07290714) Full Text: DOI
Beklemishev, N. D. A direct solution for the central projection camera pose estimation by four control points. (Russian. English summary) Zbl 1454.94009 Mat. Model. 32, No. 10, 91-104 (2020). MSC: 94A08 PDF BibTeX XML Cite \textit{N. D. Beklemishev}, Mat. Model. 32, No. 10, 91--104 (2020; Zbl 1454.94009) Full Text: DOI MNR
Chen, Dongqin; Song, Huailing The POD-DEIM reduced-order method for stochastic Allen-Cahn equations with multiplicative noise. (English) Zbl 07283130 Comput. Math. Appl. 80, No. 12, 2691-2706 (2020). MSC: 65 68 PDF BibTeX XML Cite \textit{D. Chen} and \textit{H. Song}, Comput. Math. Appl. 80, No. 12, 2691--2706 (2020; Zbl 07283130) Full Text: DOI
Rockenfeller, R.; Herold, J. L.; Götz, T. Parameter estimation and experimental design for Hill-type muscles: impulses from optimization-based modeling. (English) Zbl 1453.92035 Math. Biosci. 327, Article ID 108432, 11 p. (2020). MSC: 92C10 92-05 PDF BibTeX XML Cite \textit{R. Rockenfeller} et al., Math. Biosci. 327, Article ID 108432, 11 p. (2020; Zbl 1453.92035) Full Text: DOI
Pes, Federica; Rodriguez, Giuseppe The minimal-norm Gauss-Newton method and some of its regularized variants. (English) Zbl 1448.65030 ETNA, Electron. Trans. Numer. Anal. 53, 459-480 (2020). MSC: 65F22 65H10 65F20 PDF BibTeX XML Cite \textit{F. Pes} and \textit{G. Rodriguez}, ETNA, Electron. Trans. Numer. Anal. 53, 459--480 (2020; Zbl 1448.65030) Full Text: DOI Link
Fu, Zhenwu; Jin, Qinian; Zhang, Zhengqiang; Han, Bo; Chen, Yong Analysis of a heuristic rule for the IRGNM in Banach spaces with convex regularization terms. (English) Zbl 1445.49018 Inverse Probl. 36, No. 7, Article ID 075002, 25 p. (2020). MSC: 49N45 49M15 49J45 PDF BibTeX XML Cite \textit{Z. Fu} et al., Inverse Probl. 36, No. 7, Article ID 075002, 25 p. (2020; Zbl 1445.49018) Full Text: DOI
Yao, Teng-Teng; Bai, Zheng-Jian; Jin, Xiao-Qing; Zhao, Zhi A geometric Gauss-Newton method for least squares inverse eigenvalue problems. (English) Zbl 1452.65072 BIT 60, No. 3, 825-852 (2020). MSC: 65F18 65F15 15A18 58C15 PDF BibTeX XML Cite \textit{T.-T. Yao} et al., BIT 60, No. 3, 825--852 (2020; Zbl 1452.65072) Full Text: DOI
Deidda, G. P.; Díaz de Alba, P.; Fenu, C.; Lovicu, G.; Rodriguez, G. FDEMtools: a Matlab package for FDEM data inversion. (English) Zbl 1451.65042 Numer. Algorithms 84, No. 4, 1313-1327 (2020). MSC: 65F22 65R32 65Y15 78A46 PDF BibTeX XML Cite \textit{G. P. Deidda} et al., Numer. Algorithms 84, No. 4, 1313--1327 (2020; Zbl 1451.65042) Full Text: DOI
Bolte, Jérôme; Chen, Zheng; Pauwels, Edouard The multiproximal linearization method for convex composite problems. (English) Zbl 1445.90081 Math. Program. 182, No. (1-2 (A)), 1-36 (2020). MSC: 90C25 90C30 90C47 PDF BibTeX XML Cite \textit{J. Bolte} et al., Math. Program. 182, No. (1--2 (A)), 1--36 (2020; Zbl 1445.90081) Full Text: DOI
Gao, Guohua; Jiang, Hao; Vink, Jeroen C.; van Hagen, Paul P. H.; Wells, Terence J. Performance enhancement of Gauss-Newton trust-region solver for distributed Gauss-Newton optimization method. (English) Zbl 1434.90211 Comput. Geosci. 24, No. 2, 837-852 (2020). MSC: 90C39 90C20 86A22 90C55 PDF BibTeX XML Cite \textit{G. Gao} et al., Comput. Geosci. 24, No. 2, 837--852 (2020; Zbl 1434.90211) Full Text: DOI
Gao, Guohua; Jiang, Hao; Vink, Jeroen C.; Chen, Chaohui; El Khamra, Yaakoub; Ita, Joel J. Gaussian mixture model fitting method for uncertainty quantification by conditioning to production data. (English) Zbl 1434.86038 Comput. Geosci. 24, No. 2, 663-681 (2020). MSC: 86A32 86A22 62F15 62H30 PDF BibTeX XML Cite \textit{G. Gao} et al., Comput. Geosci. 24, No. 2, 663--681 (2020; Zbl 1434.86038) Full Text: DOI
Long, Haie; Han, Bo; Tong, Shanshan A proximal regularized Gauss-Newton-Kaczmarz method and its acceleration for nonlinear ill-posed problems. (English) Zbl 1434.65231 Appl. Numer. Math. 151, 301-321 (2020). MSC: 65N21 65K10 65J20 47J25 93B30 35R09 65N20 65N30 92C55 35R30 PDF BibTeX XML Cite \textit{H. Long} et al., Appl. Numer. Math. 151, 301--321 (2020; Zbl 1434.65231) Full Text: DOI
Wang, Xiao; Liu, Ruimin; Mao, Jianlin The WSN node localization method based on triple correction. (Chinese. English summary) Zbl 1449.90065 J. Northwest Univ., Nat. Sci. Ed. 49, No. 6, 903-908 (2019). MSC: 90B18 94A05 PDF BibTeX XML Cite \textit{X. Wang} et al., J. Northwest Univ., Nat. Sci. Ed. 49, No. 6, 903--908 (2019; Zbl 1449.90065) Full Text: DOI
Cartis, Coralia; Roberts, Lindon A derivative-free Gauss-Newton method. (English) Zbl 07168037 Math. Program. Comput. 11, No. 4, 631-674 (2019). MSC: 65K05 90C30 90C56 PDF BibTeX XML Cite \textit{C. Cartis} and \textit{L. Roberts}, Math. Program. Comput. 11, No. 4, 631--674 (2019; Zbl 07168037) Full Text: DOI
Wu, Wenze; Zhang, Tao; Jiang, Jianming A novel optimized nonlinear grey Bernoulli model and its application. (Chinese. English summary) Zbl 07156605 Math. Pract. Theory 49, No. 10, 73-79 (2019). MSC: 62M20 62-08 PDF BibTeX XML Cite \textit{W. Wu} et al., Math. Pract. Theory 49, No. 10, 73--79 (2019; Zbl 07156605)
Kokurin, M. Yu. On regularization procedures with linear accuracy estimates of approximations. (English. Russian original) Zbl 07146211 Russ. Math. 63, No. 5, 27-35 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 5, 30-39 (2019). MSC: 65J 47J PDF BibTeX XML Cite \textit{M. Yu. Kokurin}, Russ. Math. 63, No. 5, 27--35 (2019; Zbl 07146211); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 5, 30--39 (2019) Full Text: DOI
Chen, Yawen; Tong, Yunli; Min, Tao On the numerical solution of Urysohn integral equation using iteratively regularized Gauss-Newton method. (Chinese. English summary) Zbl 1438.65322 Pure Appl. Math. 35, No. 1, 54-62 (2019). MSC: 65R20 45G10 PDF BibTeX XML Cite \textit{Y. Chen} et al., Pure Appl. Math. 35, No. 1, 54--62 (2019; Zbl 1438.65322) Full Text: DOI
Min, Tao; Tong, Yunli A regularized Gauss-Newton method for solving inverse scattering problem. (Chinese. English summary) Zbl 1438.65220 J. Math., Wuhan Univ. 39, No. 3, 464-474 (2019). MSC: 65M32 78A46 35P25 35R30 35Q60 65K10 78M50 PDF BibTeX XML Cite \textit{T. Min} and \textit{Y. Tong}, J. Math., Wuhan Univ. 39, No. 3, 464--474 (2019; Zbl 1438.65220) Full Text: DOI
Jbilou, Khalide; Raydan, Marcos Nonlinear least-squares approach for large-scale algebraic Riccati equations. (English) Zbl 1420.65035 SIAM J. Sci. Comput. 41, No. 4, A2193-A2211 (2019). MSC: 65F10 65F30 65K10 49N10 PDF BibTeX XML Cite \textit{K. Jbilou} and \textit{M. Raydan}, SIAM J. Sci. Comput. 41, No. 4, A2193--A2211 (2019; Zbl 1420.65035) Full Text: DOI
Argyros, Ioannis Konstantinos; Silva, Gilson do Nascimento Extending the applicability of inexact Gauss-Newton method for solving underdetermined nonlinear least squares problems. (English) Zbl 07094437 J. Korean Math. Soc. 56, No. 2, 311-327 (2019). MSC: 65K05 65K15 49M15 49M37 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{G. d. N. Silva}, J. Korean Math. Soc. 56, No. 2, 311--327 (2019; Zbl 07094437) Full Text: DOI
Szczepanik, Ewa; Tret’yakov, Alexey A.; Tyrtyshnikov, Eugene E. Solution method for underdetermined systems of nonlinear equations. (English) Zbl 1418.65070 Russ. J. Numer. Anal. Math. Model. 34, No. 3, 163-174 (2019). MSC: 65H10 49M15 PDF BibTeX XML Cite \textit{E. Szczepanik} et al., Russ. J. Numer. Anal. Math. Model. 34, No. 3, 163--174 (2019; Zbl 1418.65070) Full Text: DOI
Eldén, Lars; Ahmadi-Asl, Salman Solving bilinear tensor least squares problems and application to Hammerstein identification. (English) Zbl 07031726 Numer. Linear Algebra Appl. 26, No. 2, e2226, 18 p. (2019). MSC: 65F99 65K10 15A69 93E24 PDF BibTeX XML Cite \textit{L. Eldén} and \textit{S. Ahmadi-Asl}, Numer. Linear Algebra Appl. 26, No. 2, e2226, 18 p. (2019; Zbl 07031726) Full Text: DOI
Chen, Ke; Grapiglia, Geovani Nunes; Yuan, Jinyun; Zhang, Daoping Improved optimization methods for image registration problems. (English) Zbl 1415.65135 Numer. Algorithms 80, No. 2, 305-336 (2019). MSC: 65K05 68U10 90C30 PDF BibTeX XML Cite \textit{K. Chen} et al., Numer. Algorithms 80, No. 2, 305--336 (2019; Zbl 1415.65135) Full Text: DOI
Shen, Yunqiu; Ypma, Tjalling J. Solving separable nonlinear least squares problems using the QR factorization. (English) Zbl 1398.65106 J. Comput. Appl. Math. 345, 48-58 (2019). MSC: 65H10 PDF BibTeX XML Cite \textit{Y. Shen} and \textit{T. J. Ypma}, J. Comput. Appl. Math. 345, 48--58 (2019; Zbl 1398.65106) Full Text: DOI
Bao, Ji-Feng; Guu, Sy-Ming; Wang, Jinhua; Hu, Yaohua; Li, Chong On convergence of a truncated Gauss-Newton method for solving underdetermined nonlinear least squares problems. (English) Zbl 1455.65092 J. Nonlinear Convex Anal. 19, No. 12, 2235-2246 (2018). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{J.-F. Bao} et al., J. Nonlinear Convex Anal. 19, No. 12, 2235--2246 (2018; Zbl 1455.65092) Full Text: Link
Argyros, Ioannis K.; Cho, Yeol Je; George, Santhosh Extended convergence of Gauss-Newton’s method and uniqueness of the solution. (English) Zbl 1449.65109 Carpathian J. Math. 34, No. 2, 135-142 (2018). MSC: 65H10 PDF BibTeX XML Cite \textit{I. K. Argyros} et al., Carpathian J. Math. 34, No. 2, 135--142 (2018; Zbl 1449.65109)
Shakhno, S. M.; Yarmola, H. P.; Shunkin, Yu. V. Convergence analysis of the Gauss-Newton-Potra method for nonlinear least squares problems. (English) Zbl 1411.49015 Mat. Stud. 50, No. 2, 211-221 (2018). MSC: 49M15 65F20 65G99 65H10 PDF BibTeX XML Cite \textit{S. M. Shakhno} et al., Mat. Stud. 50, No. 2, 211--221 (2018; Zbl 1411.49015) Full Text: DOI
Herring, James L.; Nagy, James G.; Ruthotto, Lars LAP: A linearize and project method for solving inverse problems with coupled variables. (English) Zbl 1411.65048 Sampl. Theory Signal Image Process. 17, No. 2, 127-151 (2018). MSC: 65F10 65F22 65M32 PDF BibTeX XML Cite \textit{J. L. Herring} et al., Sampl. Theory Signal Image Process. 17, No. 2, 127--151 (2018; Zbl 1411.65048) Full Text: Link
Breiding, Paul; Vannieuwenhoven, Nick A Riemannian trust region method for the canonical tensor rank approximation problem. (English) Zbl 1397.15022 SIAM J. Optim. 28, No. 3, 2435-2465 (2018). MSC: 15A69 53B21 53B20 65K10 90C53 14P10 65Y20 65F35 PDF BibTeX XML Cite \textit{P. Breiding} and \textit{N. Vannieuwenhoven}, SIAM J. Optim. 28, No. 3, 2435--2465 (2018; Zbl 1397.15022) Full Text: DOI arXiv
Fasino, Dario; Fazzi, Antonio A Gauss-Newton iteration for total least squares problems. (English) Zbl 1444.65013 BIT 58, No. 2, 281-299 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65F10 PDF BibTeX XML Cite \textit{D. Fasino} and \textit{A. Fazzi}, BIT 58, No. 2, 281--299 (2018; Zbl 1444.65013) Full Text: DOI
Jin, Qinian; Wang, Wei Analysis of the iteratively regularized Gauss-Newton method under a heuristic rule. (English) Zbl 06858479 Inverse Probl. 34, No. 3, Article ID 035001, 24 p. (2018). MSC: 65 90 PDF BibTeX XML Cite \textit{Q. Jin} and \textit{W. Wang}, Inverse Probl. 34, No. 3, Article ID 035001, 24 p. (2018; Zbl 06858479) Full Text: DOI
Zhang, Yingnan; Hu, Xingbiao; Sun, Jianqing A numerical study of the 3-periodic wave solutions to KdV-type equations. (English) Zbl 1380.65093 J. Comput. Phys. 355, 566-581 (2018). MSC: 65H10 35Q53 35B10 35C07 PDF BibTeX XML Cite \textit{Y. Zhang} et al., J. Comput. Phys. 355, 566--581 (2018; Zbl 1380.65093) Full Text: DOI
Breiding, Paul; Vannieuwenhoven, Nick Convergence analysis of Riemannian Gauss-Newton methods and its connection with the geometric condition number. (English) Zbl 1381.65043 Appl. Math. Lett. 78, 42-50 (2018). MSC: 65K05 90C20 PDF BibTeX XML Cite \textit{P. Breiding} and \textit{N. Vannieuwenhoven}, Appl. Math. Lett. 78, 42--50 (2018; Zbl 1381.65043) Full Text: DOI
Bakushinsky, Anatoly B.; Kokurin, Mikhail M.; Kokurin, Mikhail Yu. Regularization algorithms for ill-posed problems. (English) Zbl 1436.65004 Inverse and Ill-Posed Problems Series 61. Berlin: De Gruyter (ISBN 978-3-11-055630-8/hbk; 978-3-11-055735-0/ebook). xvi, 323 p. (2018). Reviewer: Robert Plato (Siegen) MSC: 65-02 65J22 65J20 47A52 47J06 49N45 65F22 65L06 65R30 65R32 PDF BibTeX XML Cite \textit{A. B. Bakushinsky} et al., Regularization algorithms for ill-posed problems. Berlin: De Gruyter (2018; Zbl 1436.65004) Full Text: DOI
Liu, Tao A wavelet multiscale method for the inverse problem of a nonlinear convection-diffusion equation. (English) Zbl 1376.65125 J. Comput. Appl. Math. 330, 165-176 (2018). MSC: 65M32 35R30 35K57 65T60 76S05 76M20 PDF BibTeX XML Cite \textit{T. Liu}, J. Comput. Appl. Math. 330, 165--176 (2018; Zbl 1376.65125) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Extended local convergence analysis of inexact Gauss-Newton method for singular systems of equations under weak conditions. (English) Zbl 1438.65133 Stud. Univ. Babeş-Bolyai, Math. 62, No. 4, 543-558 (2017). MSC: 65K10 90C30 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. George}, Stud. Univ. Babeş-Bolyai, Math. 62, No. 4, 543--558 (2017; Zbl 1438.65133) Full Text: DOI
Gao, Guohua; Vink, Jeroen C.; Chen, Chaohui; El Khamra, Yaakoub; Tarrahi, Mohammadali Distributed Gauss-Newton optimization method for history matching problems with multiple best matches. (English) Zbl 1405.90126 Comput. Geosci. 21, No. 5-6, 1325-1342 (2017). MSC: 90C30 90C55 90C56 PDF BibTeX XML Cite \textit{G. Gao} et al., Comput. Geosci. 21, No. 5--6, 1325--1342 (2017; Zbl 1405.90126) Full Text: DOI
Shen, Yunqiu; Ypma, Tjalling J. An efficient algorithm for the separable nonlinear least squares problem. (English) Zbl 06916737 Algorithms (Basel) 10, No. 3, Paper No. 78, 10 p. (2017). MSC: 65H10 PDF BibTeX XML Cite \textit{Y. Shen} and \textit{T. J. Ypma}, Algorithms (Basel) 10, No. 3, Paper No. 78, 10 p. (2017; Zbl 06916737) Full Text: DOI
Carlberg, Kevin; Barone, Matthew; Antil, Harbir Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction. (English) Zbl 1378.65145 J. Comput. Phys. 330, 693-734 (2017). MSC: 65L05 65L60 76M25 PDF BibTeX XML Cite \textit{K. Carlberg} et al., J. Comput. Phys. 330, 693--734 (2017; Zbl 1378.65145) Full Text: DOI arXiv
Bazán, Fermín S. V.; Bedin, Luciano; Borges, Leonardo S. Space-dependent perfusion coefficient estimation in a 2D bioheat transfer problem. (English) Zbl 1380.65297 Comput. Phys. Commun. 214, 18-30 (2017). MSC: 65M70 35R30 35Q79 35Q92 PDF BibTeX XML Cite \textit{F. S. V. Bazán} et al., Comput. Phys. Commun. 214, 18--30 (2017; Zbl 1380.65297) Full Text: DOI
Abdi, Fatemeh; Shakeri, Fatemeh A new descent method for symmetric non-monotone variational inequalities with application to eigenvalue complementarity problems. (English) Zbl 1376.65102 J. Optim. Theory Appl. 173, No. 3, 923-940 (2017). MSC: 65K15 90C33 49J40 49M15 PDF BibTeX XML Cite \textit{F. Abdi} and \textit{F. Shakeri}, J. Optim. Theory Appl. 173, No. 3, 923--940 (2017; Zbl 1376.65102) Full Text: DOI
Mang, Andreas; Ruthotto, Lars A Lagrangian Gauss-Newton-Krylov solver for mass- and intensity-preserving diffeomorphic image registration. (English) Zbl 1375.65034 SIAM J. Sci. Comput. 39, No. 5, B860-B885 (2017). MSC: 65D18 94A08 65K10 49J20 65M25 65F08 PDF BibTeX XML Cite \textit{A. Mang} and \textit{L. Ruthotto}, SIAM J. Sci. Comput. 39, No. 5, B860--B885 (2017; Zbl 1375.65034) Full Text: DOI
Yan, Wenjing; Jing, Feifei; Hou, Jiangyong Shape inverse problem of thermodynamic equations based on domain derivative method. (English) Zbl 1372.49053 Math. Methods Appl. Sci. 40, No. 13, 4937-4947 (2017). MSC: 49Q10 35Q79 49J35 49N45 PDF BibTeX XML Cite \textit{W. Yan} et al., Math. Methods Appl. Sci. 40, No. 13, 4937--4947 (2017; Zbl 1372.49053) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Expanding the applicability of the Gauss-Newton method for convex optimization under restricted convergence domains and majorant conditions. (English) Zbl 1366.90193 Nonlinear Funct. Anal. Appl. 22, No. 1, 197-207 (2017). MSC: 90C30 65K10 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. George}, Nonlinear Funct. Anal. Appl. 22, No. 1, 197--207 (2017; Zbl 1366.90193)
Fu, Hongsun; Liu, Hongbo; Han, Bo; Yang, Yu; Hu, Yi A proximal iteratively regularized Gauss-Newton method for nonlinear inverse problems. (English) Zbl 1365.65241 J. Inverse Ill-Posed Probl. 25, No. 3, 341-356 (2017). MSC: 65N21 35R30 65N12 PDF BibTeX XML Cite \textit{H. Fu} et al., J. Inverse Ill-Posed Probl. 25, No. 3, 341--356 (2017; Zbl 1365.65241) Full Text: DOI
Wang, Jueyu; Zhu, Detong The Gauss-Newton methods via conjugate gradient path without line search technique for solving nonlinear systems. (English) Zbl 1379.65028 Numer. Funct. Anal. Optim. 38, No. 1, 110-137 (2017). Reviewer: Anton Iliev (Plovdiv) MSC: 65H10 PDF BibTeX XML Cite \textit{J. Wang} and \textit{D. Zhu}, Numer. Funct. Anal. Optim. 38, No. 1, 110--137 (2017; Zbl 1379.65028) Full Text: DOI
Bao, Ji-Feng; Li, Chong; Shen, Wei-Ping; Yao, Jen-Chih; Guu, Sy-Ming Approximate Gauss-Newton methods for solving underdetermined nonlinear least squares problems. (English) Zbl 1353.65042 Appl. Numer. Math. 111, 92-110 (2017). MSC: 65H10 PDF BibTeX XML Cite \textit{J.-F. Bao} et al., Appl. Numer. Math. 111, 92--110 (2017; Zbl 1353.65042) Full Text: DOI
Pauwels, Edouard The value function approach to convergence analysis in composite optimization. (English) Zbl 1408.90283 Oper. Res. Lett. 44, No. 6, 790-795 (2016). MSC: 90C30 65K05 90C53 PDF BibTeX XML Cite \textit{E. Pauwels}, Oper. Res. Lett. 44, No. 6, 790--795 (2016; Zbl 1408.90283) Full Text: DOI arXiv
Gonçalves, Douglas S.; Santos, Sandra A. A globally convergent method for nonlinear least-squares problems based on the Gauss-Newton model with spectral correction. (English) Zbl 1398.65137 Bull. Comput. Appl. Math. 4, No. 2, 7-26 (2016). MSC: 65K10 90C53 PDF BibTeX XML Cite \textit{D. S. Gonçalves} and \textit{S. A. Santos}, Bull. Comput. Appl. Math. 4, No. 2, 7--26 (2016; Zbl 1398.65137) Full Text: Link
Argyros, Ioannis K.; George, Santhosh Expanding the applicability of the Gauss-Newton method for a certain class of systems of equations. (English) Zbl 1413.65197 J. Numer. Anal. Approx. Theory 45, No. 1, 3-13 (2016). MSC: 65H10 65K10 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. George}, J. Numer. Anal. Approx. Theory 45, No. 1, 3--13 (2016; Zbl 1413.65197)
Kokurin, M. Yu. Iteratively regularized methods for irregular nonlinear operator equations with a normally solvable derivative at the solution. (English. Russian original) Zbl 1444.47066 Comput. Math. Math. Phys. 56, No. 9, 1523-1535 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 9, 1543-1555 (2016). Reviewer: Robert Plato (Siegen) MSC: 47J06 47J25 65J15 65J20 65J22 65R30 65R32 PDF BibTeX XML Cite \textit{M. Yu. Kokurin}, Comput. Math. Math. Phys. 56, No. 9, 1523--1535 (2016; Zbl 1444.47066); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 9, 1543--1555 (2016) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence of inexact Gauss-Newton-like method for least square problems under weak Lipschitz condition. (English) Zbl 1361.65037 Commun. Appl. Nonlinear Anal. 23, No. 1, 56-70 (2016). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 65K05 65H10 90C20 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. George}, Commun. Appl. Nonlinear Anal. 23, No. 1, 56--70 (2016; Zbl 1361.65037)
Tian, Boshi; Li, Donghui; Yang, Xiaoqi An unconstrained differentiable penalty method for implicit complementarity problems. (English) Zbl 1349.90804 Optim. Methods Softw. 31, No. 4, 775-790 (2016). MSC: 90C33 65K15 49M30 PDF BibTeX XML Cite \textit{B. Tian} et al., Optim. Methods Softw. 31, No. 4, 775--790 (2016; Zbl 1349.90804) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Extending the applicability of the Gauss-Newton method for convex composite optimization using restricted convergence domains and average Lipschitz conditions. (English) Zbl 1348.90568 S\(\vec{\text{e}}\)MA J. 73, No. 3, 219-236 (2016). MSC: 90C30 65G99 65K10 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. George}, S\(\vec{\text{e}}\)MA J. 73, No. 3, 219--236 (2016; Zbl 1348.90568) Full Text: DOI
Gonçalves, Douglas S.; Santos, Sandra A. Local analysis of a spectral correction for the Gauss-Newton model applied to quadratic residual problems. (English) Zbl 1357.90152 Numer. Algorithms 73, No. 2, 407-431 (2016). Reviewer: Gerhard-Wilhelm Weber (Ankara) with N. Serhan Aydin and Azer Kerimov MSC: 90C30 65K05 49M37 PDF BibTeX XML Cite \textit{D. S. Gonçalves} and \textit{S. A. Santos}, Numer. Algorithms 73, No. 2, 407--431 (2016; Zbl 1357.90152) Full Text: DOI
Bakushinskii, A. B.; Kokurin, M. Yu. Iteratively regularized Gauss-Newton method for operator equations with normally solvable derivative at the solution. (English. Russian original) Zbl 06641806 Russ. Math. 60, No. 8, 1-8 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 8, 3-11 (2016). MSC: 35 47 PDF BibTeX XML Cite \textit{A. B. Bakushinskii} and \textit{M. Yu. Kokurin}, Russ. Math. 60, No. 8, 1--8 (2016; Zbl 06641806); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 8, 3--11 (2016) Full Text: DOI
Kriwet, Gregor Methods for model calibration and design of optimal experiments for partial differential equations models. (English) Zbl 1348.65002 Industriemathematik und Angewandte Mathematik. Aachen: Shaker Verlag; Marburg: Univ. Marburg (Diss.) (ISBN 978-3-8440-4749-3/pbk). 188 p. (2016). MSC: 65-02 65K10 65N22 49J20 PDF BibTeX XML Cite \textit{G. Kriwet}, Methods for model calibration and design of optimal experiments for partial differential equations models. Aachen: Shaker Verlag; Marburg: Univ. Marburg (Diss.) (2016; Zbl 1348.65002)
Amaya, M.; Hansen, K. R.; Morten, J. P. 3D CSEM data inversion using Newton and Halley class methods. (English) Zbl 1339.65082 Inverse Probl. 32, No. 5, Article ID 055002, 27 p. (2016). MSC: 65K10 49M15 49J05 86A25 PDF BibTeX XML Cite \textit{M. Amaya} et al., Inverse Probl. 32, No. 5, Article ID 055002, 27 p. (2016; Zbl 1339.65082) Full Text: DOI
Kim, Seung Soo; Lee, Yong Hun; Oh, Eun Jung Least-squares method for the bubble stabilization by the Gauss-Newton method. (English) Zbl 1338.49072 Honam Math. J. 38, No. 1, 47-57 (2016). MSC: 49M37 65L07 65L60 90C30 PDF BibTeX XML Cite \textit{S. S. Kim} et al., Honam Math. J. 38, No. 1, 47--57 (2016; Zbl 1338.49072) Full Text: DOI
Zhang, Y.; Sun, H.; Zhu, De Tong The local convergence analysis of inexact quasi-Gauss-Newton method under the Hölder condition. (English) Zbl 1338.90395 J. Optim. Theory Appl. 168, No. 3, 958-970 (2016). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{Y. Zhang} et al., J. Optim. Theory Appl. 168, No. 3, 958--970 (2016; Zbl 1338.90395) Full Text: DOI
Argyros, Ioannis K.; Cho, Yeol Je; Hilout, Saïd On iterative computation of fixed points and optimization. (English) Zbl 06583950 Fixed Point Theory Appl. 2015, Paper No. 128, 19 p. (2015). MSC: 47H10 47J05 47J25 65G99 49M15 41A29 PDF BibTeX XML Cite \textit{I. K. Argyros} et al., Fixed Point Theory Appl. 2015, Paper No. 128, 19 p. (2015; Zbl 06583950) Full Text: DOI
Kircheis, Robert; Körkel, Stefan Parameter estimation for high-dimensional PDE models using a reduced approach. (English) Zbl 1337.65126 Carraro, Thomas (ed.) et al., Multiple shooting and time domain decomposition methods. MuS-TDD, Heidelberg, Germany, May 6–8, 2013. Cham: Springer (ISBN 978-3-319-23320-8/hbk; 978-3-319-23321-5/ebook). Contributions in Mathematical and Computational Sciences 9, 143-157 (2015). MSC: 65M32 35K05 35R30 65M06 PDF BibTeX XML Cite \textit{R. Kircheis} and \textit{S. Körkel}, Contrib. Math. Comput. Sci. 9, 143--157 (2015; Zbl 1337.65126) Full Text: DOI
Cheng, Xiaoliang; Yu, Yuanjie A numerical estimation of the piecewise constant Robin coefficient by identifying its discontinuous points. (English) Zbl 1340.65255 Appl. Math., Ser. B (Engl. Ed.) 30, No. 1, 1-16 (2015). MSC: 65N21 35R30 35J25 35R05 65N12 PDF BibTeX XML Cite \textit{X. Cheng} and \textit{Y. Yu}, Appl. Math., Ser. B (Engl. Ed.) 30, No. 1, 1--16 (2015; Zbl 1340.65255) Full Text: DOI
Ma, Yan-Bo Newton method for estimation of the Robin coefficient. (English) Zbl 1327.45012 J. Nonlinear Sci. Appl. 8, No. 5, 660-669 (2015). MSC: 45Q05 65N21 PDF BibTeX XML Cite \textit{Y.-B. Ma}, J. Nonlinear Sci. Appl. 8, No. 5, 660--669 (2015; Zbl 1327.45012) Full Text: DOI Link
Ammari, Habib; Chow, Yat Tin; Liu, Keji; Zou, Jun Optimal shape design by partial spectral data. (English) Zbl 1328.49040 SIAM J. Sci. Comput. 37, No. 6, B855-B883 (2015). MSC: 49Q10 49J20 49N45 49M15 47A75 47A60 35R30 35B30 PDF BibTeX XML Cite \textit{H. Ammari} et al., SIAM J. Sci. Comput. 37, No. 6, B855--B883 (2015; Zbl 1328.49040) Full Text: DOI arXiv
Huang, Na; Ma, Changfeng A globally convergent damped Gauss-Newton method for solving the extended linear complementarity problem. (English) Zbl 1327.65109 J. Numer. Math. 23, No. 3, 247-256 (2015). MSC: 65K05 90C33 PDF BibTeX XML Cite \textit{N. Huang} and \textit{C. Ma}, J. Numer. Math. 23, No. 3, 247--256 (2015; Zbl 1327.65109) Full Text: DOI
Yang, Jialing; Cao, Dexin Inexact Newton-least squares methods for singular nonlinear system of equations. (Chinese. English summary) Zbl 1340.65104 J. Hebei Norm. Univ., Nat. Sci. Ed. 39, No. 2, 104-110 (2015). MSC: 65H10 PDF BibTeX XML Cite \textit{J. Yang} and \textit{D. Cao}, J. Hebei Norm. Univ., Nat. Sci. Ed. 39, No. 2, 104--110 (2015; Zbl 1340.65104) Full Text: DOI
Argyros, I. K.; González, D. Local convergence analysis of inexact Gauss-Newton method for singular systems of equations under majorant and center-majorant condition. (English) Zbl 1327.65027 S\(\vec{\text{e}}\)MA J. 69, No. 1, 37-51 (2015). MSC: 65D10 65D99 65G99 65K10 90C30 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{D. González}, S\(\vec{\text{e}}\)MA J. 69, No. 1, 37--51 (2015; Zbl 1327.65027) Full Text: DOI
Lass, Oliver; Volkwein, Stefan Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling. (English) Zbl 1342.49055 Comput. Optim. Appl. 62, No. 1, 217-239 (2015). MSC: 49N45 49M27 49M15 35J60 35K55 PDF BibTeX XML Cite \textit{O. Lass} and \textit{S. Volkwein}, Comput. Optim. Appl. 62, No. 1, 217--239 (2015; Zbl 1342.49055) Full Text: DOI
Kaltenbacher, Barbara An iteratively regularized Gauss-Newton-Halley method for solving nonlinear ill-posed problems. (English) Zbl 1327.65102 Numer. Math. 131, No. 1, 33-57 (2015). Reviewer: José Manuel Gutiérrez Jimenez (Logrono) MSC: 65J15 65N20 65J20 47J06 PDF BibTeX XML Cite \textit{B. Kaltenbacher}, Numer. Math. 131, No. 1, 33--57 (2015; Zbl 1327.65102) Full Text: DOI
Rashid, M. H. A convergence analysis of Gauss-Newton-type method for Hölder continuous maps. (English) Zbl 1335.49045 Indian J. Math. 57, No. 2, 181-198 (2015). MSC: 49M15 49J53 47H04 65K10 PDF BibTeX XML Cite \textit{M. H. Rashid}, Indian J. Math. 57, No. 2, 181--198 (2015; Zbl 1335.49045)
Gürbüzbalaban, M.; Ozdaglar, A.; Parrilo, P. A globally convergent incremental Newton method. (English) Zbl 1316.49033 Math. Program. 151, No. 1 (B), 283-313 (2015). MSC: 49M15 90C30 90C06 90C25 PDF BibTeX XML Cite \textit{M. Gürbüzbalaban} et al., Math. Program. 151, No. 1 (B), 283--313 (2015; Zbl 1316.49033) Full Text: DOI arXiv
Kircheis, Robert Structure exploiting parameter estimation and optimum experimental design methods and applications in microbial enhanced oil recovery. (English) Zbl 1318.65067 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). vi, 122 p. (2015). MSC: 65M75 76S05 76M35 76T10 35Q35 86A20 35Q86 PDF BibTeX XML Cite \textit{R. Kircheis}, Structure exploiting parameter estimation and optimum experimental design methods and applications in microbial enhanced oil recovery. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2015; Zbl 1318.65067) Full Text: Link
Richter, Mathias Inverse Problems. Basics, theory and applied examples. (Inverse Probleme. Grundlagen, Theorie und Anwendungsbeispiele.) (German) Zbl 1331.65083 Mathematik im Fokus. Heidelberg: Springer Spektrum (ISBN 978-3-662-45810-5/pbk; 978-3-662-45811-2/ebook). ix, 128 p. (2015). Reviewer: Robert Plato (Siegen) MSC: 65J22 65-01 65L08 65L09 65Z05 00A69 00A06 65R32 65R30 65R10 44A12 45B05 45D05 65T50 65J20 47A52 47J06 94A12 92C55 65M32 65N21 PDF BibTeX XML Cite \textit{M. Richter}, Inverse Probleme. Grundlagen, Theorie und Anwendungsbeispiele. Heidelberg: Springer Spektrum (2015; Zbl 1331.65083) Full Text: DOI
Gonçalves, M. L. N.; Oliveira, P. R. Convergence of the Gauss-Newton method for a special class of systems of equations under a majorant condition. (English) Zbl 1314.65074 Optimization 64, No. 3, 577-594 (2015). Reviewer: Hang Lau (Montréal) MSC: 65H10 PDF BibTeX XML Cite \textit{M. L. N. Gonçalves} and \textit{P. R. Oliveira}, Optimization 64, No. 3, 577--594 (2015; Zbl 1314.65074) Full Text: DOI
Kaltenbacher, B. A convergence rates result for an iteratively regularized Gauss-Newton-Halley method in Banach space. (English) Zbl 1314.65079 Inverse Probl. 31, No. 1, Article ID 015007, 20 p. (2015). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65J20 35R30 65N21 65J15 47J06 PDF BibTeX XML Cite \textit{B. Kaltenbacher}, Inverse Probl. 31, No. 1, Article ID 015007, 20 p. (2015; Zbl 1314.65079) Full Text: DOI arXiv
Werner, Frank On convergence rates for iteratively regularized Newton-type methods under a Lipschitz-type nonlinearity condition. (English) Zbl 1308.65084 J. Inverse Ill-Posed Probl. 23, No. 1, 75-84 (2015). MSC: 65J15 65J20 47J25 PDF BibTeX XML Cite \textit{F. Werner}, J. Inverse Ill-Posed Probl. 23, No. 1, 75--84 (2015; Zbl 1308.65084) Full Text: DOI
Argyros, Ioannis K.; Magreñán, Ángel Alberto Extending the applicability of Gauss-Newton method for convex composite optimization on Riemannian manifolds. (English) Zbl 1338.90460 Appl. Math. Comput. 249, 453-467 (2014). MSC: 90C53 65K10 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{Á. A. Magreñán}, Appl. Math. Comput. 249, 453--467 (2014; Zbl 1338.90460) Full Text: DOI
Roosta-Khorasani, Farbod; van den Doel, Kees; Ascher, Uri Stochastic algorithms for inverse problems involving PDEs and many measurements. (English) Zbl 1307.65158 SIAM J. Sci. Comput. 36, No. 5, S3-S22 (2014). MSC: 65N21 35R30 65C05 65N75 PDF BibTeX XML Cite \textit{F. Roosta-Khorasani} et al., SIAM J. Sci. Comput. 36, No. 5, S3--S22 (2014; Zbl 1307.65158) Full Text: DOI
Deidda, Gian Piero; Fenu, Caterina; Rodriguez, Giuseppe Regularized solution of a nonlinear problem in electromagnetic sounding. (English) Zbl 1308.35294 Inverse Probl. 30, No. 12, Article ID 125014, 27 p. (2014). MSC: 35Q60 78A25 78A46 35R30 65K10 65F22 PDF BibTeX XML Cite \textit{G. P. Deidda} et al., Inverse Probl. 30, No. 12, Article ID 125014, 27 p. (2014; Zbl 1308.35294) Full Text: DOI arXiv
Magreñán, Á. Alberto; Argyros, Ioannis K. Expanding the applicability of the Gauss-Newton method for convex optimization under a majorant condition. (English) Zbl 1304.90197 S\(\vec{\text{e}}\)MA J. 65, No. 1, 37-56 (2014). MSC: 90C30 65G99 65K10 PDF BibTeX XML Cite \textit{Á. A. Magreñán} and \textit{I. K. Argyros}, S\(\vec{\text{e}}\)MA J. 65, No. 1, 37--56 (2014; Zbl 1304.90197) Full Text: DOI
Xia, Tian; Wang, Xue-Ren; Jiang, Xue-Jun Asymptotic properties of maximum quasi-likelihood estimator in quasi-likelihood nonlinear models with misspecified variance function. (English) Zbl 1326.62058 Statistics 48, No. 4, 778-786 (2014). MSC: 62F12 62J02 62J12 PDF BibTeX XML Cite \textit{T. Xia} et al., Statistics 48, No. 4, 778--786 (2014; Zbl 1326.62058) Full Text: DOI
Vasin, V. V. Modified Newton-type processes generating Fejér approximations of regularized solutions to nonlinear equations. (English. Russian original) Zbl 1305.65148 Proc. Steklov Inst. Math. 284, Suppl. 1, S145-S158 (2014); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 19, No. 2, 85-97 (2013). MSC: 65J15 65J20 47J06 86A22 PDF BibTeX XML Cite \textit{V. V. Vasin}, Proc. Steklov Inst. Math. 284, S145--S158 (2014; Zbl 1305.65148); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 19, No. 2, 85--97 (2013) Full Text: DOI
Argyros, I. K.; George, Santhosh Expanding the applicability of the Gauss-Newton method for convex optimization under a regularity condition. (English) Zbl 1309.90096 Commun. Appl. Nonlinear Anal. 21, No. 2, 29-44 (2014). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 90C30 65G99 65K10 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. George}, Commun. Appl. Nonlinear Anal. 21, No. 2, 29--44 (2014; Zbl 1309.90096)
Ding, Liang; Cao, Jun Ground penetrating radar nondestructive testing based on wavelet sparse representation. (English) Zbl 1301.78009 Int. J. Theor. Phys. 53, No. 7, 2191-2197 (2014). MSC: 78M50 78A46 65T60 65K10 PDF BibTeX XML Cite \textit{L. Ding} and \textit{J. Cao}, Int. J. Theor. Phys. 53, No. 7, 2191--2197 (2014; Zbl 1301.78009) Full Text: DOI
Amat, Sergio; Argyros, Ioannis Konstantinos; Magreñán, Ángel Alberto Local convergence of the Gauss-Newton method for injective-overdetermined systems. (English) Zbl 1303.65040 J. Korean Math. Soc. 51, No. 5, 955-970 (2014). Reviewer: José Manuel Gutiérrez Jimenez (Logrono) MSC: 65J15 47J25 PDF BibTeX XML Cite \textit{S. Amat} et al., J. Korean Math. Soc. 51, No. 5, 955--970 (2014; Zbl 1303.65040) Full Text: DOI Link
Schaback, Robert Carl Friedrich Gauß’s contributions to numerical mathematics. (Die Beiträge von Carl Friedrich Gauß zur numerischen Mathematik.) (German. English summary) Zbl 1304.01028 Mitt., Gauß-Ges. Gött. 51, 63-86 (2014). Reviewer: Silke Göbel (Berlin) MSC: 01A55 65-03 PDF BibTeX XML Cite \textit{R. Schaback}, Mitt., Gauß-Ges. Gött. 51, 63--86 (2014; Zbl 1304.01028)
George, Santhosh; Shobha, Monnanda Erappa Newton type iteration for Tikhonov regularization of non-linear ill-posed Hammerstein type equations. (English) Zbl 1318.47081 J. Appl. Math. Comput. 44, No. 1-2, 69-82 (2014). Reviewer: Bangti Jin (London) MSC: 47J06 47A52 65N20 65J20 PDF BibTeX XML Cite \textit{S. George} and \textit{M. E. Shobha}, J. Appl. Math. Comput. 44, No. 1--2, 69--82 (2014; Zbl 1318.47081) Full Text: DOI
Abdul-Rahman, H.; Chernov, N. Fast and numerically stable circle fit. (English) Zbl 1294.65019 J. Math. Imaging Vis. 49, No. 2, 289-295 (2014). MSC: 65D10 65D17 PDF BibTeX XML Cite \textit{H. Abdul-Rahman} and \textit{N. Chernov}, J. Math. Imaging Vis. 49, No. 2, 289--295 (2014; Zbl 1294.65019) Full Text: DOI
Kaltenbacher, B.; Kirchner, A.; Vexler, B. Goal oriented adaptivity in the IRGNM for parameter identification in PDEs. II: All-at-once formulations. (English) Zbl 1304.65154 Inverse Probl. 30, No. 4, Article ID 045002, 33 p. (2014). Reviewer: Robert Plato (Siegen) MSC: 65J22 65J20 35R30 47A52 65N20 65N21 65N12 35R25 58J05 PDF BibTeX XML Cite \textit{B. Kaltenbacher} et al., Inverse Probl. 30, No. 4, Article ID 045002, 33 p. (2014; Zbl 1304.65154) Full Text: DOI arXiv
Kaltenbacher, B.; Kirchner, A.; Veljović, S. Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: I. Reduced formulation. (English) Zbl 1303.65044 Inverse Probl. 30, No. 4, Article ID 045001, 26 p. (2014). Reviewer: Robert Plato (Siegen) MSC: 65J20 35R30 65J22 65N20 65N21 65J15 47J06 PDF BibTeX XML Cite \textit{B. Kaltenbacher} et al., Inverse Probl. 30, No. 4, Article ID 045001, 26 p. (2014; Zbl 1303.65044) Full Text: DOI arXiv
Quarteroni, Alfio; Saleri, Fausto; Gervasio, Paola Scientific computing with MATLAB and Octave. 4th ed. (English) Zbl 1306.65001 Texts in Computational Science and Engineering 2. Berlin: Springer (ISBN 978-3-642-45366-3/hbk; 978-3-642-45367-0/ebook). xviii, 442 p. (2014). Reviewer: Robert Plato (Siegen) MSC: 65-01 65B05 65Dxx 65F05 65F10 65F15 65K10 65Lxx 65N06 65N30 65Yxx PDF BibTeX XML Cite \textit{A. Quarteroni} et al., Scientific computing with MATLAB and Octave. 4th ed. Berlin: Springer (2014; Zbl 1306.65001) Full Text: DOI
Cornelio, Anastasia; Piccolomini, Elena Loli; Nagy, James G. Constrained numerical optimization methods for blind deconvolution. (English) Zbl 1281.65066 Numer. Algorithms 65, No. 1, 23-42 (2014). MSC: 65F22 65F20 PDF BibTeX XML Cite \textit{A. Cornelio} et al., Numer. Algorithms 65, No. 1, 23--42 (2014; Zbl 1281.65066) Full Text: DOI
Gonçalves, M. L. N. Local convergence of the Gauss-Newton method for injective-overdetermined systems of equations under a majorant condition. (English) Zbl 1360.65160 Comput. Math. Appl. 66, No. 4, 490-499 (2013). MSC: 65J15 47J25 90C53 65K05 PDF BibTeX XML Cite \textit{M. L. N. Gonçalves}, Comput. Math. Appl. 66, No. 4, 490--499 (2013; Zbl 1360.65160) Full Text: DOI
Chen, B.; Nagarajaiah, S. Flexibility-based structural damage identification using Gauss-Newton method. (English) Zbl 1322.74062 Sādhanā 38, No. 4, 557-569 (2013). MSC: 74R05 90C53 PDF BibTeX XML Cite \textit{B. Chen} and \textit{S. Nagarajaiah}, Sādhanā 38, No. 4, 557--569 (2013; Zbl 1322.74062) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Expanding the applicability of a modified Gauss-Newton method for solving nonlinear ill-posed problems. (English) Zbl 1304.65150 Appl. Math. Comput. 219, No. 21, 10518-10526 (2013). MSC: 65J15 65J20 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. Comput. 219, No. 21, 10518--10526 (2013; Zbl 1304.65150) Full Text: DOI
Rathsfeld, Andreas Shape derivatives for the scattering by biperiodic gratings. (English) Zbl 1310.78007 Appl. Numer. Math. 72, 19-32 (2013). Reviewer: Vladimir Čadež (Beograd) MSC: 78A45 35Q61 78M50 65K10 65F05 78A46 PDF BibTeX XML Cite \textit{A. Rathsfeld}, Appl. Numer. Math. 72, 19--32 (2013; Zbl 1310.78007) Full Text: DOI
Schmidt, Andreas; Potschka, Andreas; Körkel, Stefan; Bock, Hans Georg Derivative-extended POD reduced-order modeling for parameter estimation. (English) Zbl 1285.65039 SIAM J. Sci. Comput. 35, No. 6, A2696-A2717 (2013). MSC: 65K10 49J20 49M15 35K58 PDF BibTeX XML Cite \textit{A. Schmidt} et al., SIAM J. Sci. Comput. 35, No. 6, A2696--A2717 (2013; Zbl 1285.65039) Full Text: DOI