Calvetti, D.; Pitolli, F.; Somersalo, E.; Vantaggi, B. Bayes meets Krylov: statistically inspired preconditioners for CGLS. (English) Zbl 1392.65047 SIAM Rev. 60, No. 2, 429-461 (2018). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F10 65F08 65N22 65F22 PDF BibTeX XML Cite \textit{D. Calvetti} et al., SIAM Rev. 60, No. 2, 429--461 (2018; Zbl 1392.65047) Full Text: DOI
Qian, Jiang; Andrew, Alan L.; Chu, Delin; Tan, Roger C. E. Methods for solving underdetermined systems. (English) Zbl 06861601 Numer. Linear Algebra Appl. 25, No. 1, e2127, 17 p. (2018). MSC: 65F35 PDF BibTeX XML Cite \textit{J. Qian} et al., Numer. Linear Algebra Appl. 25, No. 1, e2127, 17 p. (2018; Zbl 06861601) Full Text: DOI
Adamo, Alessandro; Grossi, Giuliano; Lanzarotti, Raffaella; Lin, Jianyi Sparse decomposition by iterating Lipschitzian-type mappings. (English) Zbl 1361.65013 Theor. Comput. Sci. 664, 12-28 (2017). MSC: 65F10 65F50 90C27 PDF BibTeX XML Cite \textit{A. Adamo} et al., Theor. Comput. Sci. 664, 12--28 (2017; Zbl 1361.65013) 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
Soubies, Emmanuel; Blanc-Féraud, Laure; Aubert, Gilles Erratum: A continuous exact \(\ell_0\) penalty (CEL0) for least squares regularized problem. (English) Zbl 1346.65028 SIAM J. Imaging Sci. 9, No. 1, 490-494 (2016). MSC: 65J20 65J22 65J15 47J06 PDF BibTeX XML Cite \textit{E. Soubies} et al., SIAM J. Imaging Sci. 9, No. 1, 490--494 (2016; Zbl 1346.65028) Full Text: DOI
Boichuk, Alexander A.; Samoilenko, Anatolii M. Generalized inverse operators and Fredholm boundary-value problems. Translated from the Russian by P. V. Malyshev. 2nd edition. (English) Zbl 1394.47001 Inverse and Ill-Posed Problems Series 59. Berlin: De Gruyter (ISBN 978-3-11-037839-9/hbk; 978-3-11-037844-3/ebook). xvi, 298 p. (2016). Reviewer: Alessandro Calamai (Ancona) MSC: 47-02 47A05 34-02 34B15 34B37 34K10 47A50 47A53 47N20 PDF BibTeX XML Cite \textit{A. A. Boichuk} and \textit{A. M. Samoilenko}, Generalized inverse operators and Fredholm boundary-value problems. Translated from the Russian by P. V. Malyshev. 2nd edition. Berlin: De Gruyter (2016; Zbl 1394.47001) Full Text: DOI
Moeller, Michael; Zhang, Xiaoqun Fast sparse reconstruction: greedy inverse scale space flows. (English) Zbl 1327.65067 Math. Comput. 85, No. 297, 179-208 (2016). MSC: 65F10 65K05 90C55 90C59 90C26 PDF BibTeX XML Cite \textit{M. Moeller} and \textit{X. Zhang}, Math. Comput. 85, No. 297, 179--208 (2016; Zbl 1327.65067) Full Text: DOI
Brugiapaglia, Simone; Micheletti, Stefano; Perotto, Simona Compressed solving: a numerical approximation technique for elliptic PDEs based on compressed sensing. (English) Zbl 1443.65313 Comput. Math. Appl. 70, No. 6, 1306-1335 (2015). MSC: 65N30 35J25 PDF BibTeX XML Cite \textit{S. Brugiapaglia} et al., Comput. Math. Appl. 70, No. 6, 1306--1335 (2015; Zbl 1443.65313) Full Text: DOI
Lorenz, Dirk A.; Pfetsch, Marc E.; Tillmann, Andreas M. Solving basis pursuit: heuristic optimality check and solver comparison. (English) Zbl 1371.65055 ACM Trans. Math. Softw. 41, No. 2, Article No. 8, 29 p. (2015). MSC: 65K05 65Y20 90C59 65F20 PDF BibTeX XML Cite \textit{D. A. Lorenz} et al., ACM Trans. Math. Softw. 41, No. 2, Article No. 8, 29 p. (2015; Zbl 1371.65055) Full Text: DOI
Srinivas, M.; Naidu, R. Ramu Sparse approximation of overdetermined systems for image retrieval application. (English) Zbl 1381.94024 Agrawal, P. N. (ed.) et al., Mathematical analysis and its applications. Proceedings of the international conference on recent trends in mathematical analyis and its applications, ICRTMAA 2014, Roorkee, India, December 21–23, 2014. New Delhi: Springer (ISBN 978-81-322-2484-6/hbk; 978-81-322-2485-3/ebook). Springer Proceedings in Mathematics & Statistics 143, 219-227 (2015). MSC: 94A08 65F50 90C25 90C55 94A12 PDF BibTeX XML Cite \textit{M. Srinivas} and \textit{R. R. Naidu}, in: Mathematical analysis and its applications. Proceedings of the international conference on recent trends in mathematical analyis and its applications, ICRTMAA 2014, Roorkee, India, December 21--23, 2014. New Delhi: Springer. 219--227 (2015; Zbl 1381.94024) Full Text: DOI
Soubies, Emmanuel; Blanc-Féraud, Laure; Aubert, Gilles A continuous exact \(\ell_0\) penalty (CEL0) for least squares regularized problem. (English) Zbl 1325.65086 SIAM J. Imaging Sci. 8, No. 3, 1607-1639 (2015). MSC: 65K05 90C26 90C55 PDF BibTeX XML Cite \textit{E. Soubies} et al., SIAM J. Imaging Sci. 8, No. 3, 1607--1639 (2015; Zbl 1325.65086) 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
Fortes, W.; Batenburg, K. J. Quality bounds for binary tomography with arbitrary projection matrices. (English) Zbl 1319.68235 Discrete Appl. Math. 183, 42-58 (2015). MSC: 68U10 68U05 PDF BibTeX XML Cite \textit{W. Fortes} and \textit{K. J. Batenburg}, Discrete Appl. Math. 183, 42--58 (2015; Zbl 1319.68235) Full Text: DOI
Zhang, WanHong; Zhou, Tong; Huang, BoXue Outlier deletion based improvement on the stomp algorithm for sparse solution of large-scale underdetermined problems. (English) Zbl 1425.94034 Sci. China, Inf. Sci. 57, No. 9, Article ID 092203, 14 p. (2014). MSC: 94A13 62F35 62H12 90C27 94A12 PDF BibTeX XML Cite \textit{W. Zhang} et al., Sci. China, Inf. Sci. 57, No. 9, Article ID 092203, 14 p. (2014; Zbl 1425.94034) Full Text: DOI
Candès, Emmanuel J. Mathematics of sparsity (and a few other things). (English) Zbl 1376.65093 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. I: Plenary lectures and ceremonies. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-804-9/hbk; 978-89-6105-803-2/set). 235-258 (2014). MSC: 65K05 90C25 65F50 15A83 PDF BibTeX XML Cite \textit{E. J. Candès}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. I: Plenary lectures and ceremonies. Seoul: KM Kyung Moon Sa. 235--258 (2014; Zbl 1376.65093)
Liu, Yipeng Globally sparse and locally dense signal recovery for compressed sensing. (English) Zbl 1372.93222 J. Franklin Inst. 351, No. 5, 2711-2727 (2014). MSC: 93E24 49N45 94A12 PDF BibTeX XML Cite \textit{Y. Liu}, J. Franklin Inst. 351, No. 5, 2711--2727 (2014; Zbl 1372.93222) Full Text: DOI
Deniţiu, Andreea; Petra, Stefania; Schnörr, Claudius; Schnörr, Christoph Phase transitions and cosparse tomographic recovery of compound solid bodies from few projections. (English) Zbl 1315.94012 Fundam. Inform. 135, No. 1-2, 73-102 (2014). MSC: 94A08 PDF BibTeX XML Cite \textit{A. Deniţiu} et al., Fundam. Inform. 135, No. 1--2, 73--102 (2014; Zbl 1315.94012) Full Text: DOI arXiv
van Schaftingen, Jean Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations. (English) Zbl 1311.35005 J. Fixed Point Theory Appl. 15, No. 2, 273-297 (2014). MSC: 35A23 26D15 46E35 PDF BibTeX XML Cite \textit{J. van Schaftingen}, J. Fixed Point Theory Appl. 15, No. 2, 273--297 (2014; Zbl 1311.35005) Full Text: DOI
Deniţiu, Andreea; Petra, Stefania; Schnörr, Claudius; Schnörr, Christoph An entropic perturbation approach to TV-minimization for limited-data tomography. (English) Zbl 1417.68263 Barcucci, Elena (ed.) et al., Discrete geometry for computer imagery. 18th IAPR international conference, DGCI 2014, Siena, Italy, September 10–12, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8668, 262-274 (2014). MSC: 68U10 68U05 94A08 PDF BibTeX XML Cite \textit{A. Deniţiu} et al., Lect. Notes Comput. Sci. 8668, 262--274 (2014; Zbl 1417.68263) Full Text: DOI
Meng, Xiangrui; Saunders, Michael A.; Mahoney, Michael W. LSRN: A parallel iterative solver for strongly over- or underdetermined systems. (English) Zbl 1298.65053 SIAM J. Sci. Comput. 36, No. 2, 95-118 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F08 65F10 65F20 65F22 65F35 65F50 15B52 65Y05 PDF BibTeX XML Cite \textit{X. Meng} et al., SIAM J. Sci. Comput. 36, No. 2, 95--118 (2014; Zbl 1298.65053) Full Text: DOI
Rump, Siegfried M. Improved componentwise verified error bounds for least squares problems and underdetermined linear systems. (English) Zbl 1293.65062 Numer. Algorithms 66, No. 2, 309-322 (2014). MSC: 65F20 65G20 PDF BibTeX XML Cite \textit{S. M. Rump}, Numer. Algorithms 66, No. 2, 309--322 (2014; Zbl 1293.65062) Full Text: DOI
Miyajima, Shinya Componentwise enclosure for solutions of least squares problems and underdetermined systems. (English) Zbl 1329.65081 Linear Algebra Appl. 444, 28-41 (2014). MSC: 65F20 15A06 65G50 65G20 PDF BibTeX XML Cite \textit{S. Miyajima}, Linear Algebra Appl. 444, 28--41 (2014; Zbl 1329.65081) Full Text: DOI
Petra, Stefania; Schnörr, Christoph Average case recovery analysis of tomographic compressive sensing. (English) Zbl 1282.65048 Linear Algebra Appl. 441, 168-198 (2014). MSC: 65F22 68U10 PDF BibTeX XML Cite \textit{S. Petra} and \textit{C. Schnörr}, Linear Algebra Appl. 441, 168--198 (2014; Zbl 1282.65048) Full Text: DOI arXiv
Gasilov, Nizami; Fatullayev, Afet Golayoğlu; Amrahov, Şahin Emrah Solution of non-square fuzzy linear systems. (English) Zbl 1393.15004 J. Mult.-Val. Log. Soft Comput. 20, No. 3-4, 221-237 (2013). MSC: 15A06 15B15 PDF BibTeX XML Cite \textit{N. Gasilov} et al., J. Mult.-Val. Log. Soft Comput. 20, No. 3--4, 221--237 (2013; Zbl 1393.15004) Full Text: Link
Nikolova, Mila Description of the minimizers of least squares regularized with \(\ell_0\)-norm. Uniqueness of the global minimizer. (English) Zbl 1281.65092 SIAM J. Imaging Sci. 6, No. 2, 904-937 (2013). MSC: 65K05 90C26 90C20 65F20 PDF BibTeX XML Cite \textit{M. Nikolova}, SIAM J. Imaging Sci. 6, No. 2, 904--937 (2013; Zbl 1281.65092) Full Text: DOI
Quadrat, Alban Grade filtration of linear functional systems. (English) Zbl 1327.16037 Acta Appl. Math. 127, No. 1, 27-86 (2013). MSC: 16W70 16S32 35A27 32C38 16Z05 16E65 PDF BibTeX XML Cite \textit{A. Quadrat}, Acta Appl. Math. 127, No. 1, 27--86 (2013; Zbl 1327.16037) Full Text: DOI
Zouzias, Anastasios; Freris, Nikolaos M. Randomized extended Kaczmarz for solving least squares. (English) Zbl 1273.65053 SIAM J. Matrix Anal. Appl. 34, No. 2, 773-793 (2013). MSC: 65F10 65F20 65F50 PDF BibTeX XML Cite \textit{A. Zouzias} and \textit{N. M. Freris}, SIAM J. Matrix Anal. Appl. 34, No. 2, 773--793 (2013; Zbl 1273.65053) Full Text: DOI arXiv
Petra, Stefania; Schnörr, Christoph; Schröder, Andreas Critical parameter values and reconstruction properties of discrete tomography: application to experimental fluid dynamics. (English) Zbl 1270.68374 Fundam. Inform. 125, No. 3-4, 285-312 (2013). MSC: 68U10 76-05 PDF BibTeX XML Cite \textit{S. Petra} et al., Fundam. Inform. 125, No. 3--4, 285--312 (2013; Zbl 1270.68374) Full Text: DOI arXiv
Bahmani, S.; Raj, B. A unifying analysis of projected gradient descent for \(\ell_p\)-constrained least squares. (English) Zbl 1268.65054 Appl. Comput. Harmon. Anal. 34, No. 3, 366-378 (2013). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F20 PDF BibTeX XML Cite \textit{S. Bahmani} and \textit{B. Raj}, Appl. Comput. Harmon. Anal. 34, No. 3, 366--378 (2013; Zbl 1268.65054) Full Text: DOI arXiv
Donoho, David; Kutyniok, Gitta Microlocal analysis of the geometric separation problem. (English) Zbl 1261.94007 Commun. Pure Appl. Math. 66, No. 1, 1-47 (2013). MSC: 94A08 42C40 PDF BibTeX XML Cite \textit{D. Donoho} and \textit{G. Kutyniok}, Commun. Pure Appl. Math. 66, No. 1, 1--47 (2013; Zbl 1261.94007) Full Text: DOI arXiv
Echebest, N.; Schuverdt, M. L.; Vignau, R. P. A derivative-free method for solving box-constrained underdetermined nonlinear systems of equations. (English) Zbl 1309.65055 Appl. Math. Comput. 219, No. 6, 3198-3208 (2012). MSC: 65H10 90C56 PDF BibTeX XML Cite \textit{N. Echebest} et al., Appl. Math. Comput. 219, No. 6, 3198--3208 (2012; Zbl 1309.65055) Full Text: DOI
Shokri, Ali; Shokri, Abbas Ali New iterative method for solving of under determined linear equations systems. (English) Zbl 1289.65094 Acta Univ. Apulensis, Math. Inform. 30, 189-196 (2012). MSC: 65F20 PDF BibTeX XML Cite \textit{A. Shokri} and \textit{A. A. Shokri}, Acta Univ. Apulensis, Math. Inform. 30, 189--196 (2012; Zbl 1289.65094)
Elkin, V. I. Reduction of underdetermined systems of ordinary differential equations. IV. (English. Russian original) Zbl 1267.34066 Differ. Equ. 48, No. 11, 1437-1443 (2012); translation from Differ. Uravn 48, No. 11, 1459-1465 (2012). Reviewer: Werner M. Seiler (Kassel) MSC: 34C20 34A09 PDF BibTeX XML Cite \textit{V. I. Elkin}, Differ. Equ. 48, No. 11, 1437--1443 (2012; Zbl 1267.34066); translation from Differ. Uravn 48, No. 11, 1459--1465 (2012) Full Text: DOI
Zhao, Yun-Bin; Li, Duan Reweighted \(\ell_1\)-minimization for sparse solutions to underdetermined linear systems. (English) Zbl 1261.65042 SIAM J. Optim. 22, No. 3, 1065-1088 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 15A29 65K05 90C25 90C26 90C59 PDF BibTeX XML Cite \textit{Y.-B. Zhao} and \textit{D. Li}, SIAM J. Optim. 22, No. 3, 1065--1088 (2012; Zbl 1261.65042) Full Text: DOI
Rump, Siegfried M. Verified bounds for least squares problems and underdetermined linear systems. (English) Zbl 1255.65082 SIAM J. Matrix Anal. Appl. 33, No. 1, 130-148 (2012). Reviewer: Pavel Jiránek (Toulouse) MSC: 65F20 65G20 PDF BibTeX XML Cite \textit{S. M. Rump}, SIAM J. Matrix Anal. Appl. 33, No. 1, 130--148 (2012; Zbl 1255.65082) Full Text: DOI
Cluzeau, Thomas; Quadrat, Alban Serre’s reduction of linear partial differential systems with holonomic adjoints. (English) Zbl 1252.35016 J. Symb. Comput. 47, No. 10, 1192-1213 (2012). MSC: 35A25 68W30 33F10 32S40 32C38 PDF BibTeX XML Cite \textit{T. Cluzeau} and \textit{A. Quadrat}, J. Symb. Comput. 47, No. 10, 1192--1213 (2012; Zbl 1252.35016) Full Text: DOI
Elkin, V. I. Reduction of underdetermined systems of ordinary differential equations. III. (English. Russian original) Zbl 1247.34055 Differ. Equ. 47, No. 11, 1556-1562 (2011); translation from Differ. Uravn. 47, No. 11, 1538-1544 (2011). Reviewer: Werner M. Seiler (Kassel) MSC: 34C20 34A09 PDF BibTeX XML Cite \textit{V. I. Elkin}, Differ. Equ. 47, No. 11, 1556--1562 (2011; Zbl 1247.34055); translation from Differ. Uravn. 47, No. 11, 1538--1544 (2011) Full Text: DOI
Wolf, T. The parametric solution of underdetermined linear ODEs. (English) Zbl 1257.65043 Program. Comput. Softw. 37, No. 2, 62-70 (2011). MSC: 65L05 34A30 34-04 65Y15 PDF BibTeX XML Cite \textit{T. Wolf}, Program. Comput. Softw. 37, No. 2, 62--70 (2011; Zbl 1257.65043) Full Text: DOI arXiv
Sun, Yuanchang; Xin, Jack Underdetermined sparse blind source separation of nonnegative and partially overlapped data. (English) Zbl 1234.94017 SIAM J. Sci. Comput. 33, No. 4, 2063-2094 (2011). MSC: 94A12 65H10 65K05 PDF BibTeX XML Cite \textit{Y. Sun} and \textit{J. Xin}, SIAM J. Sci. Comput. 33, No. 4, 2063--2094 (2011; Zbl 1234.94017) Full Text: DOI
Elkin, V. I. Controllable dynamic systems and underdetermined systems of differential equations. (English. Russian original) Zbl 1230.93006 Autom. Remote Control 72, No. 9, 1822-1832 (2011); translation from Avtom. Telemekh. 2011, No. 9, 28-38 (2011). MSC: 93B05 93C15 93C10 34H05 PDF BibTeX XML Cite \textit{V. I. Elkin}, Autom. Remote Control 72, No. 9, 1822--1832 (2011; Zbl 1230.93006); translation from Avtom. Telemekh. 2011, No. 9, 28--38 (2011) Full Text: DOI
Adamczak, R.; Litvak, A. E.; Pajor, A.; Tomczak-Jaegermann, N. Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling. (English) Zbl 1222.52009 Constr. Approx. 34, No. 1, 61-88 (2011). MSC: 52B12 52A23 60B20 94A12 46B06 15B52 41A45 94B75 PDF BibTeX XML Cite \textit{R. Adamczak} et al., Constr. Approx. 34, No. 1, 61--88 (2011; Zbl 1222.52009) Full Text: DOI
Echebest, N.; Schuverdt, M. L.; Vignau, R. P. Two derivative-free methods for solving underdetermined nonlinear systems of equations. (English) Zbl 1220.65060 Comput. Appl. Math. 30, No. 1, 217-245 (2011). Reviewer: Liu Xinguo (Qingdao) MSC: 65H10 90C57 PDF BibTeX XML Cite \textit{N. Echebest} et al., Comput. Appl. Math. 30, No. 1, 217--245 (2011; Zbl 1220.65060) Full Text: DOI
Antritter, Felix; Lévine, Jean Flatness characterization: two approaches. (English) Zbl 1222.93051 Lévine, Jean (ed.) et al., Advances in the theory of control, signals and systems with physical modeling. Papers based on the presentations at the Bernoulli Programme, Lausanne, Switzerland, January to June 2009. Berlin: Springer (ISBN 978-3-642-16134-6/pbk; 978-3-642-16135-3/ebook). Lecture Notes in Control and Information Sciences 407, 127-139 (2011). MSC: 93B27 93C10 PDF BibTeX XML Cite \textit{F. Antritter} and \textit{J. Lévine}, Lect. Notes Control Inf. Sci. 407, 127--139 (2011; Zbl 1222.93051)
Blanchard, Jeffrey D.; Cartis, Coralia; Tanner, Jared; Thompson, Andrew Phase transitions for greedy sparse approximation algorithms. (English) Zbl 1229.94003 Appl. Comput. Harmon. Anal. 30, No. 2, 188-203 (2011). Reviewer: Nirode C. Mohanty (Huntington Beach) MSC: 94A05 PDF BibTeX XML Cite \textit{J. D. Blanchard} et al., Appl. Comput. Harmon. Anal. 30, No. 2, 188--203 (2011; Zbl 1229.94003) Full Text: DOI arXiv
Zhang, Yunong; Tan, Ning; Li, Zhan; Mo, Jinhui The common nature of learning in BP and Hopfield-type neural networks for the solution of an underdetermined system of linear equations. (Chinese. English summary) Zbl 1240.68240 Acta Sci. Nat. Univ. Sunyatseni 49, No. 2, 1-7, 16 (2010). MSC: 68T05 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Acta Sci. Nat. Univ. Sunyatseni 49, No. 2, 1--7, 16 (2010; Zbl 1240.68240)
Miyajima, Shinya Enclosing solutions in least squares problems. (English) Zbl 1215.65074 HERMIS-\(\mu\pi\) 11, 55-62 (2010). MSC: 65F20 PDF BibTeX XML Cite \textit{S. Miyajima}, HERMIS-\(\mu\pi\) 11, 55--62 (2010; Zbl 1215.65074)
Hochstenbach, Michiel E.; Reichel, Lothar Subspace-restricted singular value decompositions for linear discrete ill-posed problems. (English) Zbl 1204.65038 J. Comput. Appl. Math. 235, No. 4, 1053-1064 (2010). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F22 65F20 PDF BibTeX XML Cite \textit{M. E. Hochstenbach} and \textit{L. Reichel}, J. Comput. Appl. Math. 235, No. 4, 1053--1064 (2010; Zbl 1204.65038) Full Text: DOI
Foucart, Simon; Gribonval, Rémi Real versus complex null space properties for sparse vector recovery. (Propriétés du noyau pour la reconstruction de vecteurs parcimonieux: Équivalence des versions réelles et complexes.) (English) Zbl 1196.15008 C. R., Math., Acad. Sci. Paris 348, No. 15-16, 863-865 (2010). MSC: 15A06 PDF BibTeX XML Cite \textit{S. Foucart} and \textit{R. Gribonval}, C. R., Math., Acad. Sci. Paris 348, No. 15--16, 863--865 (2010; Zbl 1196.15008) Full Text: DOI
Miyajima, Shinya Fast enclosure for solutions in underdetermined systems. (English) Zbl 1201.65064 J. Comput. Appl. Math. 234, No. 12, 3436-3444 (2010). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F20 PDF BibTeX XML Cite \textit{S. Miyajima}, J. Comput. Appl. Math. 234, No. 12, 3436--3444 (2010; Zbl 1201.65064) Full Text: DOI
Zhu, Jiehua; Li, Xiezhang A full row-rank system matrix generated by the strip-based projection model in discrete tomography. (English) Zbl 1197.65043 Appl. Math. Comput. 216, No. 12, 3536-3540 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 92C55 94A08 PDF BibTeX XML Cite \textit{J. Zhu} and \textit{X. Li}, Appl. Math. Comput. 216, No. 12, 3536--3540 (2010; Zbl 1197.65043) Full Text: DOI
Lai, Ming-Jun On sparse solutions of underdetermined linear systems. (English) Zbl 1194.65061 J. Concr. Appl. Math. 8, No. 2, 296-327 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 PDF BibTeX XML Cite \textit{M.-J. Lai}, J. Concr. Appl. Math. 8, No. 2, 296--327 (2010; Zbl 1194.65061)
Freeden, Willi (ed.); Nashed, M. Zuhair (ed.); Sonar, Thomas (ed.) Handbook of geomathematics. 2 Volumes. (English) Zbl 1201.86001 Berlin: Springer (ISBN 978-3-642-01545-8/hbk; 978-3-642-01546-5/ebook; 978-3-642-01547-2). xix, 1350 p. (2010). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 86-00 86-06 00A79 00A06 86-08 86A30 86A32 86A17 86A22 86A25 00B15 PDF BibTeX XML Cite \textit{W. Freeden} (ed.) et al., Handbook of geomathematics. 2 Volumes. Berlin: Springer (2010; Zbl 1201.86001) Full Text: DOI
Seiler, Werner M. Involution. The formal theory of differential equations and its applications in computer algebra. (English) Zbl 1205.35003 Algorithms and Computation in Mathematics 24. Berlin: Springer (ISBN 978-3-642-01286-0/hbk; 978-3-642-01287-7/ebook). xxii, 650 p. (2010). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 35-02 13-02 13P10 13P20 35-04 68W30 PDF BibTeX XML Cite \textit{W. M. Seiler}, Involution. The formal theory of differential equations and its applications in computer algebra. Berlin: Springer (2010; Zbl 1205.35003) Full Text: DOI Backlinks: MO
Petra, Stefania; Schnörr, Christoph TomoPIV meets compressed sensing. (English) Zbl 1265.65075 PU.M.A., Pure Math. Appl. 20, No. 1-2, 49-76 (2009). MSC: 65F22 65F20 PDF BibTeX XML Cite \textit{S. Petra} and \textit{C. Schnörr}, PU.M.A., Pure Math. Appl. 20, No. 1--2, 49--76 (2009; Zbl 1265.65075)
Pomet, Jean-Baptiste A necessary condition for dynamic equivalence. (English) Zbl 1201.34070 SIAM J. Control Optim. 48, No. 2, 925-940 (2009). Reviewer: Werner M. Seiler (Kassel) MSC: 34C41 93B17 34C40 34H05 PDF BibTeX XML Cite \textit{J.-B. Pomet}, SIAM J. Control Optim. 48, No. 2, 925--940 (2009; Zbl 1201.34070) Full Text: DOI arXiv
Elkin, V. I. Reduction of underdetermined systems of ordinary differential equations. I. (English. Russian original) Zbl 1193.34077 Differ. Equ. 45, No. 12, 1721-1731 (2009); translation from Differ. Uravn. 45, No. 12, 1687-1697 (2009). Reviewer: Werner M. Seiler (Kassel) MSC: 34C20 34A09 PDF BibTeX XML Cite \textit{V. I. Elkin}, Differ. Equ. 45, No. 12, 1721--1731 (2009; Zbl 1193.34077); translation from Differ. Uravn. 45, No. 12, 1687--1697 (2009) Full Text: DOI
Chen, Xiaojun Numerical verification methods for spherical \(t\)-designs. (English) Zbl 1184.65049 Japan J. Ind. Appl. Math. 26, No. 2-3, 317-325 (2009). MSC: 65G20 65G30 65H10 05B30 94C30 PDF BibTeX XML Cite \textit{X. Chen}, Japan J. Ind. Appl. Math. 26, No. 2--3, 317--325 (2009; Zbl 1184.65049) Full Text: DOI Euclid
Jokar, Sadegh; Mehrmann, Volker Sparse solutions to underdetermined Kronecker product systems. (English) Zbl 1181.65058 Linear Algebra Appl. 431, No. 12, 2437-2447 (2009). Reviewer: Ludwig Kohaupt (Berlin) MSC: 65F20 15A06 65F50 15A15 15A21 PDF BibTeX XML Cite \textit{S. Jokar} and \textit{V. Mehrmann}, Linear Algebra Appl. 431, No. 12, 2437--2447 (2009; Zbl 1181.65058) Full Text: DOI arXiv
Yang, ZuYuan; He, ZhaoShui; Xie, ShengLi; Fu, YuLi Adaptive blind separation of underdetermined mixtures based on sparse component analysis. (English) Zbl 1153.93424 Sci. China, Ser. F. 51, No. 4, 381-393 (2008). MSC: 93C35 94A12 93B40 PDF BibTeX XML Cite \textit{Z. Yang} et al., Sci. China, Ser. F 51, No. 4, 381--393 (2008; Zbl 1153.93424) Full Text: DOI
Abdelmalek, Nabih N.; Malek, William A. Numerical linear approximation in C. With CD-Rom. (English) Zbl 1155.65002 Chapman & Hall/CRC Numerical Analysis and Scientific Computing. Boca Raton, FL: CRC Press (ISBN 978-1-58488-978-6/hbk; 978-1-58488-979-3/ebook). xxvi, 936 p. (2008). Reviewer: Octavian Pastravanu (Iaşi) MSC: 65-02 65K05 65Dxx 65Fxx PDF BibTeX XML Cite \textit{N. N. Abdelmalek} and \textit{W. A. Malek}, Numerical linear approximation in C. With CD-Rom. Boca Raton, FL: CRC Press (2008; Zbl 1155.65002) Full Text: DOI
Candès, Emmanuel; Tao, Terence The Dantzig selector: statistical estimation when \(p\) is much larger than \(n\). (With discussions and rejoinder). (English) Zbl 1139.62019 Ann. Stat. 35, No. 6, 2313-2404 (2007). MSC: 62G08 62G05 94A08 94A12 90C05 62C05 PDF BibTeX XML Cite \textit{E. Candès} and \textit{T. Tao}, Ann. Stat. 35, No. 6, 2313--2404 (2007; Zbl 1139.62019) Full Text: DOI Euclid arXiv
He, Jin-Su; Wang, Jin-Hua; Li, Chong Newton’s method for underdetermined systems of equations under the \(\gamma\)-condition. (English) Zbl 1120.65070 Numer. Funct. Anal. Optimization 28, No. 5-6, 663-679 (2007). MSC: 65H10 PDF BibTeX XML Cite \textit{J.-S. He} et al., Numer. Funct. Anal. Optim. 28, No. 5--6, 663--679 (2007; Zbl 1120.65070) Full Text: DOI
Beltrán, C.; Pardo, L. M. On the probability distribution of condition numbers of complete intersection varieties and the average radius of convergence of Newton’s method in the underdetermined case. (English) Zbl 1123.65041 Math. Comput. 76, No. 259, 1393-1424 (2007). Reviewer: Otu Vaarmann (Tallinn) MSC: 65H10 65G50 PDF BibTeX XML Cite \textit{C. Beltrán} and \textit{L. M. Pardo}, Math. Comput. 76, No. 259, 1393--1424 (2007; Zbl 1123.65041) Full Text: DOI
White, Robert E. Elements of matrix modeling and computing with MATLAB. (English) Zbl 1118.65019 Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-627-7/hbk). xvi, 402 p. (2007). Reviewer: Daniel Kressner (Berlin) MSC: 65Fxx 65-01 65T50 94A08 68W30 PDF BibTeX XML Cite \textit{R. E. White}, Elements of matrix modeling and computing with MATLAB. Boca Raton, FL: Chapman \& Hall/CRC (2007; Zbl 1118.65019)
Tsaig, Yaakov; Donoho, David L. Extensions of compressed sensing. (English) Zbl 1163.94399 Signal Process. 86, No. 3, 549-571 (2006). MSC: 94A12 PDF BibTeX XML Cite \textit{Y. Tsaig} and \textit{D. L. Donoho}, Signal Process. 86, No. 3, 549--571 (2006; Zbl 1163.94399) Full Text: DOI
Tsaig, Yaakov; Donoho, David L. Breakdown of equivalence between the minimal \(\ell^1\)-norm solution and the sparsest solution. (English) Zbl 1163.94398 Signal Process. 86, No. 3, 533-548 (2006). MSC: 94A12 PDF BibTeX XML Cite \textit{Y. Tsaig} and \textit{D. L. Donoho}, Signal Process. 86, No. 3, 533--548 (2006; Zbl 1163.94398) Full Text: DOI
Chen, Xiaojun; Womersley, Robert S. Existence of solutions to systems of underdetermined equations and spherical designs. (English) Zbl 1129.65035 SIAM J. Numer. Anal. 44, No. 6, 2326-2341 (2006). MSC: 65H10 65G20 65D05 65D32 PDF BibTeX XML Cite \textit{X. Chen} and \textit{R. S. Womersley}, SIAM J. Numer. Anal. 44, No. 6, 2326--2341 (2006; Zbl 1129.65035) Full Text: DOI
Kostomarov, D. P. Problems for an ultrahyperbolic equation in the half-space with the boundedness condition for the solution. (English. Russian original) Zbl 1131.35370 Differ. Equ. 42, No. 2, 261-268 (2006); translation from Differ. Uravn. 42, No. 2, 245-251 (2006). MSC: 35L82 35N05 35B40 PDF BibTeX XML Cite \textit{D. P. Kostomarov}, Differ. Equ. 42, No. 2, 261--268 (2006; Zbl 1131.35370); translation from Differ. Uravn. 42, No. 2, 245--251 (2006) Full Text: DOI
Candès, Emmanuel J. Compressive sampling. (English) Zbl 1130.94013 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 1433-1452 (2006). MSC: 94A20 62D05 62H35 68P30 94A08 68U10 PDF BibTeX XML Cite \textit{E. J. Candès}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS). 1433--1452 (2006; Zbl 1130.94013)
Donoho, David L. For most large underdetermined systems of linear equations the minimal \(\ell_{1}\)-norm solution is also the sparsest solution. (English) Zbl 1113.15004 Commun. Pure Appl. Math. 59, No. 6, 797-829 (2006). Reviewer: Manuel Ladra Gonzalez (Santiago) MSC: 15A06 65F20 65F50 60D05 41A65 52A41 90C20 PDF BibTeX XML Cite \textit{D. L. Donoho}, Commun. Pure Appl. Math. 59, No. 6, 797--829 (2006; Zbl 1113.15004) Full Text: DOI
Dedieu, Jean-Pierre Fixed points, zeros and Newton’s method. (Points fixes, zéros et la méthode de Newton.) (English) Zbl 1095.65047 Mathématiques & Applications (Berlin) 54. Berlin: Springer (ISBN 3-540-30995-0/pbk). xii, 196 p. (2006). Reviewer: Gilbert Crombez (Ghent) MSC: 65J15 65-01 37C25 49M25 58C15 65H10 47H10 47J25 PDF BibTeX XML Cite \textit{J.-P. Dedieu}, Points fixes, zéros et la méthode de Newton. Berlin: Springer (2006; Zbl 1095.65047) Full Text: DOI
Donoho, David L.; Tanner, Jared Neighborliness of randomly projected simplices in high dimension. (English) Zbl 1135.60300 Proc. Natl. Acad. Sci. USA 102, No. 27, 9452-9457 (2005). MSC: 60C05 60D05 PDF BibTeX XML Cite \textit{D. L. Donoho} and \textit{J. Tanner}, Proc. Natl. Acad. Sci. USA 102, No. 27, 9452--9457 (2005; Zbl 1135.60300) Full Text: DOI
Selekwa, Majura F.; Collins, Emmanuel G. jun. Numerical solutions for systems of qualitative’ nonlinear algebraic equations by fuzzy logic. (English) Zbl 1066.65058 Fuzzy Sets Syst. 150, No. 3, 599-609 (2005). MSC: 65H10 90C70 PDF BibTeX XML Cite \textit{M. F. Selekwa} and \textit{E. G. Collins jun.}, Fuzzy Sets Syst. 150, No. 3, 599--609 (2005; Zbl 1066.65058) Full Text: DOI
Francisco, J. B.; Krejić, N.; Martínez, J. M. An interior-point method for solving box-constrained underdetermined nonlinear systems. (English) Zbl 1064.65035 J. Comput. Appl. Math. 177, No. 1, 67-88 (2005). Reviewer: W. C. Rheinboldt (Pittsburgh) MSC: 65H10 90C51 PDF BibTeX XML Cite \textit{J. B. Francisco} et al., J. Comput. Appl. Math. 177, No. 1, 67--88 (2005; Zbl 1064.65035) Full Text: DOI
Kolev, Lubomir V. An improved interval linearization for solving nonlinear problems. (English) Zbl 1074.65058 Numer. Algorithms 37, No. 1-4, 213-224 (2004). MSC: 65H10 65H20 65K05 65G30 90C30 PDF BibTeX XML Cite \textit{L. V. Kolev}, Numer. Algorithms 37, No. 1--4, 213--224 (2004; Zbl 1074.65058) Full Text: DOI
Elmroth, Erik; Gustavson, Fred; Jonsson, Isak; Kågström, Bo Recursive blocked algorithms and hybrid data structures for dense matrix library software. (English) Zbl 1068.65040 SIAM Rev. 46, No. 1, 3-45 (2004). Reviewer: R. Militaru (Craiova) MSC: 65Fxx 65Y15 65Y05 65-02 15A23 15A24 68M20 68W30 PDF BibTeX XML Cite \textit{E. Elmroth} et al., SIAM Rev. 46, No. 1, 3--45 (2004; Zbl 1068.65040) Full Text: DOI
Galperin, E. A.; Ekel, P. Ya.; Pereira, J. G. jun. The cubic algorithm for global optimization with box and equality constraints and application to the optimal allocation of resources. (English) Zbl 1064.65046 Math. Comput. Modelling 40, No. 1-2, 63-76 (2004). MSC: 65K05 90C30 91B32 65H10 65Y15 PDF BibTeX XML Cite \textit{E. A. Galperin} et al., Math. Comput. Modelling 40, No. 1--2, 63--76 (2004; Zbl 1064.65046) Full Text: DOI
Li, Changjun; Evans, David J. Preconditioned conjugate gradient method and generalized successive overrelaxation method for the least squares problems. (English) Zbl 1002.65049 Int. J. Comput. Math. 79, No. 5, 593-602 (2002). Reviewer: A.Meister (Hamburg) MSC: 65F20 65F10 PDF BibTeX XML Cite \textit{C. Li} and \textit{D. J. Evans}, Int. J. Comput. Math. 79, No. 5, 593--602 (2002; Zbl 1002.65049) Full Text: DOI
Nguyen, Nhat; Milanfar, Peyman; Golub, Gene A computationally efficient superresolution image reconstruction algorithm. (English) Zbl 1040.68567 IEEE Trans. Image Process. 10, No. 4, 573-583 (2001). MSC: 68U10 68W05 PDF BibTeX XML Cite \textit{N. Nguyen} et al., IEEE Trans. Image Process. 10, No. 4, 573--583 (2001; Zbl 1040.68567) Full Text: DOI
Morigi, S.; Sgallari, F. A regularizing L-curve Lanczos method for underdetermined linear systems. (English) Zbl 1024.65035 Appl. Math. Comput. 121, No. 1, 55-73 (2001). MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{S. Morigi} and \textit{F. Sgallari}, Appl. Math. Comput. 121, No. 1, 55--73 (2001; Zbl 1024.65035) Full Text: DOI
Dedieu, Jean-Pierre Newton’s method and some complexity aspects of the zero-finding problem. (English) Zbl 0978.65048 DeVore, Ronald A. (ed.) et al., Foundations of computational mathematics. Conference, Oxford, GB, July 18-28, 1999. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 284, 45-67 (2001). MSC: 65J15 47J25 65Y20 PDF BibTeX XML Cite \textit{J.-P. Dedieu}, Lond. Math. Soc. Lect. Note Ser. 284, 45--67 (2001; Zbl 0978.65048)
Tagliani, Aldo Maximum entropy in the discrete generalized moment problem. (English) Zbl 1012.60018 Statistica 60, No. 1, 59-72 (2000). Reviewer: Ludwig Paditz (Dresden) MSC: 60E05 94A17 62B10 41A50 44A60 PDF BibTeX XML Cite \textit{A. Tagliani}, Statistica 60, No. 1, 59--72 (2000; Zbl 1012.60018)
Calvetti, D.; Reichel, L.; Sgallari, F.; Spaletta, G. A regularizing Lanczos iteration method for underdetermined linear systems. (English) Zbl 0967.65052 J. Comput. Appl. Math. 115, No. 1-2, 101-120 (2000). Reviewer: Dietrich Braess (Bochum) MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{D. Calvetti} et al., J. Comput. Appl. Math. 115, No. 1--2, 101--120 (2000; Zbl 0967.65052) Full Text: DOI
Li, Changjun; Li, Baojia; Evans, David J. Optimum acceleration parameter for the GSOR method. (English) Zbl 0946.65024 Neural Parallel Sci. Comput. 7, No. 4, 453-461 (1999). Reviewer: W.Schönauer (Karlsruhe) MSC: 65F10 65F20 PDF BibTeX XML Cite \textit{C. Li} et al., Neural Parallel Sci. Comput. 7, No. 4, 453--461 (1999; Zbl 0946.65024)
Walker, Homer F. An adaptation of Krylov subspace methods to path following problems. (English) Zbl 0948.65056 SIAM J. Sci. Comput. 21, No. 3, 1191-1198 (1999). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 65H20 65H10 65F10 PDF BibTeX XML Cite \textit{H. F. Walker}, SIAM J. Sci. Comput. 21, No. 3, 1191--1198 (1999; Zbl 0948.65056) Full Text: DOI
Zhang, Danqing; Li, Weiguo; Shen, Zuhe Solving underdetermined systems with interval methods. (English) Zbl 0945.65057 Reliab. Comput. 5, No. 1, 23-33 (1999). Reviewer: H.Ratschek (Düsseldorf) MSC: 65H10 65G30 PDF BibTeX XML Cite \textit{D. Zhang} et al., Reliab. Comput. 5, No. 1, 23--33 (1999; Zbl 0945.65057) Full Text: DOI
Sun, Ji-guang On optimal backward perturbation bounds. (English) Zbl 0921.65034 Golub, Gene H. (ed.) et al., Scientific computing, WSC ’97. Proceedings of the workshop held in Hong Kong, March 10–12, 1997. Berlin: Springer. 133-147 (1998). MSC: 65F20 15A45 PDF BibTeX XML Cite \textit{J.-g. Sun}, in: Scientific computing, WSC '97. Proceedings of the workshop held in Hong Kong, March 10--12, 1997. Berlin: Springer. 133--147 (1998; Zbl 0921.65034)
Tran, Quoc-Nam A symbolic-numerical method for finding a real solution of an arbitrary system of nonlinear algebraic equations. (English) Zbl 0921.65044 J. Symb. Comput. 26, No. 6, 739-760 (1998). Reviewer: E.L.Allgower (Fort Collins) MSC: 65H10 68W30 12Y05 26C10 30C15 PDF BibTeX XML Cite \textit{Q.-N. Tran}, J. Symb. Comput. 26, No. 6, 739--760 (1998; Zbl 0921.65044) Full Text: DOI
Ballalij, M.; Sadok, H. New interpretation of related Huang’s methods. (English) Zbl 0886.65040 Linear Algebra Appl. 269, 183-195 (1998). Reviewer: F.Szidarovszky (Tucson) MSC: 65F25 65F05 PDF BibTeX XML Cite \textit{M. Ballalij} and \textit{H. Sadok}, Linear Algebra Appl. 269, 183--195 (1998; Zbl 0886.65040) Full Text: DOI
Baykal, B.; Constantinides, A. G. Order-recursive underdetermined recursive least-squares adaptive algorithms. (English) Zbl 0908.93074 Signal Process. 63, No. 3, 241-247 (1997). MSC: 93E24 93E11 PDF BibTeX XML Cite \textit{B. Baykal} and \textit{A. G. Constantinides}, Signal Process. 63, No. 3, 241--247 (1997; Zbl 0908.93074) Full Text: DOI
Attili, Basem S. On the use of predictor-corrector continuation to trace implicitly defined curves and calculating bifurcation. (English) Zbl 0890.65048 Int. J. Comput. Math. 65, No. 1-2, 149-159 (1997). Reviewer: Xu Chengxian (Xian) MSC: 65H10 65H20 PDF BibTeX XML Cite \textit{B. S. Attili}, Int. J. Comput. Math. 65, No. 1--2, 149--159 (1997; Zbl 0890.65048) Full Text: DOI
Sun, Ji-Guang; Sun, Zheng Optimal backward perturbation bounds for underdetermined systems. (English) Zbl 0876.15003 SIAM J. Matrix Anal. Appl. 18, No. 2, 393-402 (1997). Reviewer: V.Burjan (Praha) MSC: 15A06 65F20 PDF BibTeX XML Cite \textit{J.-G. Sun} and \textit{Z. Sun}, SIAM J. Matrix Anal. Appl. 18, No. 2, 393--402 (1997; Zbl 0876.15003) Full Text: DOI
Yuan, J.; de Sampaio, R. J. B.; Evans, D. J. Applications of QZ decomposition. (English) Zbl 1001.65513 Int. J. Comput. Math. 60, No. 1-2, 105-114 (1996). MSC: 65F20 PDF BibTeX XML Cite \textit{J. Yuan} et al., Int. J. Comput. Math. 60, No. 1--2, 105--114 (1996; Zbl 1001.65513) Full Text: DOI
Rheinboldt, W. C. MANPAK: A set of algorithms for computations on implicitly defined manifolds. (English) Zbl 0883.65044 Comput. Math. Appl. 32, No. 12, 15-28 (1996). Reviewer: E.L.Allgower (Fort Collins) MSC: 65H10 65Y15 PDF BibTeX XML Cite \textit{W. C. Rheinboldt}, Comput. Math. Appl. 32, No. 12, 15--28 (1996; Zbl 0883.65044) Full Text: DOI
Bergamasco, Adalberto P.; Cordaro, Paulo D.; Petronilho, Gerson Global solvability for certain classes of underdetermined systems of vector fields. (English) Zbl 0863.58062 Math. Z. 223, No. 2, 261-274 (1996). Reviewer: A.P.Bergamasco (São Carlos) MSC: 58J10 35N10 35A05 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., Math. Z. 223, No. 2, 261--274 (1996; Zbl 0863.58062) Full Text: DOI EuDML
Hodel, A. Scottedward; Misra, Pradeep Solution of underdetermined Sylvester equations in sensor array signal processing. (English) Zbl 0864.65024 Linear Algebra Appl. 249, 1-14 (1996). Reviewer: A.Swift (Palmerston North) MSC: 65F30 65F20 15A24 94A12 PDF BibTeX XML Cite \textit{A. S. Hodel} and \textit{P. Misra}, Linear Algebra Appl. 249, 1--14 (1996; Zbl 0864.65024) Full Text: DOI
Saunders, Michael A. Solution of sparse rectangular systems using LSQR and Craig. (English) Zbl 0844.65029 BIT 35, No. 4, 588-604 (1995). Reviewer: N.Köckler (Paderborn) MSC: 65F20 65F50 PDF BibTeX XML Cite \textit{M. A. Saunders}, BIT 35, No. 4, 588--604 (1995; Zbl 0844.65029) Full Text: DOI
Chen, Xiaojun; Yamamoto, Tetsuro Newton-like methods for solving underdetermined nonlinear equations with nondifferentiable terms. (English) Zbl 0823.65048 J. Comput. Appl. Math. 55, No. 3, 311-324 (1994). Reviewer: D.Braess (Bochum) MSC: 65H10 PDF BibTeX XML Cite \textit{X. Chen} and \textit{T. Yamamoto}, J. Comput. Appl. Math. 55, No. 3, 311--324 (1994; Zbl 0823.65048) Full Text: DOI
Higham, Nicholas J. A survey of componentwise perturbation theory in numerical linear algebra. (English) Zbl 0815.65062 Gautschi, Walter (ed.), Mathematics of computation, 1943-1993: a half- century of computational mathematics. Mathematics of computation 50th anniversary symposium, August 9-13, 1993, Vancouver, Canada. Providence, RI: American Mathematical Society. Proc. Symp. Appl. Math. 48, 49-77 (1994). MSC: 65F35 65-02 65F05 65F20 65F15 65G50 PDF BibTeX XML Cite \textit{N. J. Higham}, Proc. Symp. Appl. Math. 48, 49--77 (1994; Zbl 0815.65062)
Huang, Zhijian A new method for solving nonlinear underdetermined systems. (English) Zbl 0806.65048 Comput. Appl. Math. 13, No. 1, 33-48 (1994). Reviewer: D.Braess (Bochum) MSC: 65H10 PDF BibTeX XML Cite \textit{Z. Huang}, Comput. Appl. Math. 13, No. 1, 33--48 (1994; Zbl 0806.65048)