Shan, Li; Zhang, Zhen A new finite volume scheme for diffusion problems on arbitrary polygonal meshes. (Chinese. English summary) Zbl 1474.65316 Acta Math. Appl. Sin. 43, No. 6, 1042-1053 (2020). MSC: 65M08 76M12 65F10 65M50 76W05 35Q35 PDF BibTeX XML Cite \textit{L. Shan} and \textit{Z. Zhang}, Acta Math. Appl. Sin. 43, No. 6, 1042--1053 (2020; Zbl 1474.65316)
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
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
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)
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
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
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
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 Link
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
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
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
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 arXiv
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 Link
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)
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
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
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
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
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
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
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
Babichev, A. B.; Kadyrova, O. B.; Kashevarova, T. P.; Leshchenko, A. S.; Semenov, A. L. UniCalc, a novel approach to solving systems of algebraic equations. (English) Zbl 0829.65067 Interval Comput. 1993, No. 2, 29-47 (1993). MSC: 65H10 65K05 90C05 65G30 PDF BibTeX XML Cite \textit{A. B. Babichev} et al., Interval Comput. 1993, No. 2, 29--47 (1993; Zbl 0829.65067)
Wang, Jiasong; Ning, Chen The \(l_ \infty\) norm minimization solution of underdetermined systems of linear equations. (Chinese. English summary) Zbl 0768.65016 Numer. Math., Nanjing 14, No. 2, 151-157 (1992). Reviewer: Deng Naiyang (Beijing) MSC: 65F20 65K05 90C05 PDF BibTeX XML Cite \textit{J. Wang} and \textit{C. Ning}, Numer. Math., Nanjing 14, No. 2, 151--157 (1992; Zbl 0768.65016)
Wang, Jiasong; Xiao, Jianhua A descent algorithm for the \(L_ 1\) norm solution to a system of linear equations. (Chinese. English summary) Zbl 0697.65036 J. Nanjing Univ., Math. Biq. 6, No. 2, 139-148 (1989). MSC: 65F20 86A15 PDF BibTeX XML Cite \textit{J. Wang} and \textit{J. Xiao}, J. Nanjing Univ., Math. Biq. 6, No. 2, 139--148 (1989; Zbl 0697.65036) Full Text: EuDML
Gnutzmann, Stefan Stückweise lineare Approximation implizit definierter Mannigfaltigkeiten. (Piecewise linear approximation of implicitly defined manifolds). (German) Zbl 0635.65059 Fachbereich Mathematik der Universität Hamburg. 208 S. (1988). Reviewer: St.Gnutzmann MSC: 65H10 58C15 PDF BibTeX XML
Allgower, Eugene L.; Gnutzmann, Stefan An algorithm for piecewise linear approximation of implicitly defined two-dimensional surfaces. (English) Zbl 0618.65006 SIAM J. Numer. Anal. 24, 452-469 (1987). Reviewer: M.Gas[ ] MSC: 65D15 65H10 58C15 PDF BibTeX XML Cite \textit{E. L. Allgower} and \textit{S. Gnutzmann}, SIAM J. Numer. Anal. 24, 452--469 (1987; Zbl 0618.65006) Full Text: DOI
Alexander, J. C. Average intersection and pivoting densities. (English) Zbl 0616.65056 SIAM J. Numer. Anal. 24, 129-146 (1987). Reviewer: R.Hettich MSC: 65H10 58C15 57Q99 PDF BibTeX XML Cite \textit{J. C. Alexander}, SIAM J. Numer. Anal. 24, 129--146 (1987; Zbl 0616.65056) Full Text: DOI
Allgower, Eugene L.; Schmidt, Phillip H. Piecewise linear approximation of solution manifolds for nonlinear systems of equations. (English) Zbl 0542.65028 Selected topics in operations research and mathematical economics, Proc. 8th Symp., Karlsruhe/Ger. 1983, Lect. Notes Econ. Math. Syst. 226, 339-347 (1984). MSC: 65H10 65K05 90C30 PDF BibTeX XML
Majcher, G.; Styrylska, T. On a multistage optimization problem. I. (English) Zbl 0451.65025 Commentat. Math. 21, 163-171 (1979). MSC: 65F20 65K05 90C08 PDF BibTeX XML Cite \textit{G. Majcher} and \textit{T. Styrylska}, Commentat. Math. 21, 163--171 (1979; Zbl 0451.65025)
Wampler, Roy H. Algorithm 544: L2A and L2B, weighted least squares solutions by modified Gram-Schmidt with iterative refinement \([F4]\). (English) Zbl 0434.65023 ACM Trans. Math. Softw. 5, 494-499 (1979). MSC: 65F20 65D10 68Q25 68W99 PDF BibTeX XML Cite \textit{R. H. Wampler}, ACM Trans. Math. Softw. 5, 494--499 (1979; Zbl 0434.65023) Full Text: DOI
Wampler, Roy H. Solutions to weighted least squares problems by modified Gram-Schmidt with iterative refinement. (English) Zbl 0429.65033 ACM Trans. Math. Softw. 5, 457-465 (1979). MSC: 65F20 65D10 62J05 65-04 68W99 PDF BibTeX XML Cite \textit{R. H. Wampler}, ACM Trans. Math. Softw. 5, 457--465 (1979; Zbl 0429.65033) Full Text: DOI