Chehab, Jean-Paul; Desveaux, Vivien; Handa, Marouan A sliding window algorithm for energy distribution system with storage. (English) Zbl 07533402 AIMS Math. 6, No. 11, 11815-11836 (2021). MSC: 90C05 90C06 90C30 90C51 90C90 90-08 PDF BibTeX XML Cite \textit{J.-P. Chehab} et al., AIMS Math. 6, No. 11, 11815--11836 (2021; Zbl 07533402) Full Text: DOI OpenURL
Silva, Lino M.; Oliveira, Aurelio R. L. Modified controlled Cholesky factorization for preconditioning linear systems from the interior-point method. (English) Zbl 1476.90186 Comput. Appl. Math. 40, No. 4, Paper No. 154, 13 p. (2021). MSC: 90C05 90C51 65F08 15A23 PDF BibTeX XML Cite \textit{L. M. Silva} and \textit{A. R. L. Oliveira}, Comput. Appl. Math. 40, No. 4, Paper No. 154, 13 p. (2021; Zbl 1476.90186) Full Text: DOI OpenURL
Bellavia, Stefania; Gondzio, Jacek; Porcelli, Margherita A relaxed interior point method for low-rank semidefinite programming problems with applications to matrix completion. (English) Zbl 1479.90152 J. Sci. Comput. 89, No. 2, Paper No. 46, 36 p. (2021). MSC: 90C22 90C51 65F10 65F50 PDF BibTeX XML Cite \textit{S. Bellavia} et al., J. Sci. Comput. 89, No. 2, Paper No. 46, 36 p. (2021; Zbl 1479.90152) Full Text: DOI arXiv OpenURL
Bergamaschi, Luca; Gondzio, Jacek; Martínez, Ángeles; Pearson, John W.; Pougkakiotis, Spyridon A new preconditioning approach for an interior point-proximal method of multipliers for linear and convex quadratic programming. (English) Zbl 07396244 Numer. Linear Algebra Appl. 28, No. 4, e2361, 19 p. (2021). MSC: 90C20 65F08 65F22 PDF BibTeX XML Cite \textit{L. Bergamaschi} et al., Numer. Linear Algebra Appl. 28, No. 4, e2361, 19 p. (2021; Zbl 07396244) Full Text: DOI arXiv OpenURL
Montoison, Alexis; Orban, Dominique TriCG and TriMR: two iterative methods for symmetric quasi-definite systems. (English) Zbl 07378167 SIAM J. Sci. Comput. 43, No. 4, A2502-A2525 (2021). MSC: 65F10 65F08 65F22 65F25 65F35 65F50 90C06 90C90 PDF BibTeX XML Cite \textit{A. Montoison} and \textit{D. Orban}, SIAM J. Sci. Comput. 43, No. 4, A2502--A2525 (2021; Zbl 07378167) Full Text: DOI arXiv OpenURL
Bennani, Ahlem; Benterki, Djamel; Grar, Hassina Adaptive projection methods for linear fractional programming. (English) Zbl 1472.90136 RAIRO, Oper. Res. 55, Suppl., S2383-S2392 (2021). MSC: 90C32 90C05 90C33 35R35 90C51 PDF BibTeX XML Cite \textit{A. Bennani} et al., RAIRO, Oper. Res. 55, S2383--S2392 (2021; Zbl 1472.90136) Full Text: DOI OpenURL
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab Exact algorithms for semidefinite programs with degenerate feasible set. (English) Zbl 1460.90128 J. Symb. Comput. 104, 942-959 (2021). MSC: 90C22 68W30 90C51 90C05 90C60 13P15 14P10 PDF BibTeX XML Cite \textit{D. Henrion} et al., J. Symb. Comput. 104, 942--959 (2021; Zbl 1460.90128) Full Text: DOI arXiv OpenURL
Bartmeyer, Petra Maria; Bocanegra, Silvana; Oliveira, Aurelio Ribeiro Leite Switching preconditioners using a hybrid approach for linear systems arising from interior point methods for linear programming. (English) Zbl 1456.65039 Numer. Algorithms 86, No. 1, 397-424 (2021). MSC: 65K05 65F08 90C05 90C51 PDF BibTeX XML Cite \textit{P. M. Bartmeyer} et al., Numer. Algorithms 86, No. 1, 397--424 (2021; Zbl 1456.65039) Full Text: DOI OpenURL
Yang, Yaguang Arc-search techniques for interior-point methods. (English) Zbl 1448.90002 Boca Raton, FL: CRC Press (ISBN 978-0-367-48728-7/hbk; 978-0-367-51009-1/pbk; 978-1-003-04251-8/ebook). x, 306 p. (2021). MSC: 90-01 90C51 90C05 90C20 90C22 90C60 PDF BibTeX XML Cite \textit{Y. Yang}, Arc-search techniques for interior-point methods. Boca Raton, FL: CRC Press (2021; Zbl 1448.90002) Full Text: DOI OpenURL
Chakraborty, Atlanta; Chandru, Vijay; Rao, M. R. A linear programming primer: from Fourier to Karmarkar. (English) Zbl 1442.90122 Ann. Oper. Res. 287, No. 2, 593-616 (2020). MSC: 90C05 90C60 90-08 PDF BibTeX XML Cite \textit{A. Chakraborty} et al., Ann. Oper. Res. 287, No. 2, 593--616 (2020; Zbl 1442.90122) Full Text: DOI OpenURL
Pearson, John W.; Porcelli, Margherita; Stoll, Martin Interior-point methods and preconditioning for PDE-constrained optimization problems involving sparsity terms. (English) Zbl 07177902 Numer. Linear Algebra Appl. 27, No. 2, e2276, 23 p. (2020). MSC: 65F08 65F10 65K05 76D55 90C20 93C20 PDF BibTeX XML Cite \textit{J. W. Pearson} et al., Numer. Linear Algebra Appl. 27, No. 2, e2276, 23 p. (2020; Zbl 07177902) Full Text: DOI arXiv OpenURL
Morshed, Muhammad Sarowar; Noor-E-Alam, Muhammad Generalized affine scaling algorithms for linear programming problems. (English) Zbl 1458.90472 Comput. Oper. Res. 114, Article ID 104807, 17 p. (2020). MSC: 90C05 90-08 65K05 90C51 PDF BibTeX XML Cite \textit{M. S. Morshed} and \textit{M. Noor-E-Alam}, Comput. Oper. Res. 114, Article ID 104807, 17 p. (2020; Zbl 1458.90472) Full Text: DOI arXiv OpenURL
Bellavia, Stefania; Gondzio, Jacek; Porcelli, Margherita An inexact dual logarithmic barrier method for solving sparse semidefinite programs. (English) Zbl 1431.90108 Math. Program. 178, No. 1-2 (A), 109-143 (2019). MSC: 90C22 90C51 65F10 65F50 PDF BibTeX XML Cite \textit{S. Bellavia} et al., Math. Program. 178, No. 1--2 (A), 109--143 (2019; Zbl 1431.90108) Full Text: DOI Link OpenURL
Mut, Murat; Terlaky, Tamás The iteration-complexity upper bound for the Mizuno-Todd-Ye predictor-corrector algorithm is tight. (English) Zbl 1421.90083 Pintér, János D. (ed.) et al., Modeling and optimization: theory and applications, MOPTA, Bethlehem, PA, USA, August 16–18, 2017. Selected contributions of the conference. Cham: Springer. Springer Proc. Math. Stat. 279, 121-137 (2019). MSC: 90C05 90C51 68Q25 65K05 90C60 PDF BibTeX XML Cite \textit{M. Mut} and \textit{T. Terlaky}, Springer Proc. Math. Stat. 279, 121--137 (2019; Zbl 1421.90083) Full Text: DOI OpenURL
Yuan, Beibei; Zhang, Mingwang; Huang, Zhengwei A wide neighborhood interior-point algorithm with arc-search for \(P_{\ast}(\kappa)\) linear complementarity problem. (English) Zbl 1471.65065 Appl. Numer. Math. 136, 293-304 (2019). MSC: 65K15 90C33 90C51 PDF BibTeX XML Cite \textit{B. Yuan} et al., Appl. Numer. Math. 136, 293--304 (2019; Zbl 1471.65065) Full Text: DOI OpenURL
Weldeyesus, Alemseged Gebrehiwot; Gondzio, Jacek A specialized primal-dual interior point method for the plastic truss layout optimization. (English) Zbl 1404.74138 Comput. Optim. Appl. 71, No. 3, 613-640 (2018). MSC: 74P05 90C05 90C06 90C51 65F08 PDF BibTeX XML Cite \textit{A. G. Weldeyesus} and \textit{J. Gondzio}, Comput. Optim. Appl. 71, No. 3, 613--640 (2018; Zbl 1404.74138) Full Text: DOI Link OpenURL
Bergamaschi, L.; De Simone, V.; di Serafino, D.; Martínez, A. BFGS-like updates of constraint preconditioners for sequences of KKT linear systems in quadratic programming. (English) Zbl 06986987 Numer. Linear Algebra Appl. 25, No. 5, e2144, 19 p. (2018). MSC: 65F08 65K05 PDF BibTeX XML Cite \textit{L. Bergamaschi} et al., Numer. Linear Algebra Appl. 25, No. 5, e2144, 19 p. (2018; Zbl 06986987) Full Text: DOI OpenURL
Velazco, Marta; Oliveira, Aurelio R. L. Computing the splitting preconditioner for interior point method using an incomplete factorization approach. (English) Zbl 1397.90400 Kliewer, Natalia (ed.) et al., Operations research proceedings 2017. Selected papers of the annual international conference of the German Operations Research Society (GOR), Freie Universiät Berlin, Germany, September 6–8, 2017. Cham: Springer (ISBN 978-3-319-89919-0/pbk; 978-3-319-89920-6/ebook). Operations Research Proceedings, 97-103 (2018). MSC: 90C51 65K05 90C05 65F08 PDF BibTeX XML Cite \textit{M. Velazco} and \textit{A. R. L. Oliveira}, Oper. Res. Proc. 2017, 97--103 (2018; Zbl 1397.90400) Full Text: DOI OpenURL
Scholz, Daniel Optimization interactive. Understanding basics, exploring models and applying methods. (Optimierung interaktiv. Grundlagen verstehen, Modelle erforschen und Verfahren anwenden.) (German) Zbl 1433.90001 Berlin: Springer Spektrum (ISBN 978-3-662-57952-7/pbk; 978-3-662-57953-4/ebook). xiv, 238 p. (2018). Reviewer: Sorin-Mihai Grad (Wien) MSC: 90-01 00A06 90C51 90C59 90C05 90C10 90C30 90C26 90C35 PDF BibTeX XML Cite \textit{D. Scholz}, Optimierung interaktiv. Grundlagen verstehen, Modelle erforschen und Verfahren anwenden. Berlin: Springer Spektrum (2018; Zbl 1433.90001) Full Text: DOI OpenURL
Kheirfam, B. An infeasible interior point method for the monotone SDLCP based on a transformation of the central path. (English) Zbl 1392.90125 J. Appl. Math. Comput. 57, No. 1-2, 685-702 (2018). MSC: 90C51 90C22 90C60 PDF BibTeX XML Cite \textit{B. Kheirfam}, J. Appl. Math. Comput. 57, No. 1--2, 685--702 (2018; Zbl 1392.90125) Full Text: DOI OpenURL
Arreckx, Sylvain; Orban, Dominique A regularized factorization-free method for equality-constrained optimization. (English) Zbl 1390.90389 SIAM J. Optim. 28, No. 2, 1613-1639 (2018). MSC: 90C06 90C20 90C30 90C51 90C53 90C55 65F10 65F50 PDF BibTeX XML Cite \textit{S. Arreckx} and \textit{D. Orban}, SIAM J. Optim. 28, No. 2, 1613--1639 (2018; Zbl 1390.90389) Full Text: DOI OpenURL
Casacio, Luciana; Lyra, Christiano; Oliveira, Aurelio Ribeiro Leite; Castro, Cecilia Orellana Improving the preconditioning of linear systems from interior point methods. (English) Zbl 1458.90634 Comput. Oper. Res. 85, 129-138 (2017). MSC: 90C51 90C05 65F08 65F35 PDF BibTeX XML Cite \textit{L. Casacio} et al., Comput. Oper. Res. 85, 129--138 (2017; Zbl 1458.90634) Full Text: DOI OpenURL
Ma, Xiaojue; Liu, Hongwei A superlinearly convergent wide-neighborhood predictor-corrector interior-point algorithm for linear programming. (English) Zbl 1374.90378 J. Appl. Math. Comput. 55, No. 1-2, 669-682 (2017). MSC: 90C33 49M15 65K15 PDF BibTeX XML Cite \textit{X. Ma} and \textit{H. Liu}, J. Appl. Math. Comput. 55, No. 1--2, 669--682 (2017; Zbl 1374.90378) Full Text: DOI OpenURL
Ma, Xiaojue; Liu, Hongwei; Zhang, Jianke; Cong, Weijie On superlinear and \(O(\sqrt{n}L)\) convergence of a path-following algorithm for monotone linear complementarity problems in a wide neighborhood. (English) Zbl 1370.90273 Numer. Funct. Anal. Optim. 38, No. 5, 627-640 (2017). MSC: 90C33 49M15 65K15 PDF BibTeX XML Cite \textit{X. Ma} et al., Numer. Funct. Anal. Optim. 38, No. 5, 627--640 (2017; Zbl 1370.90273) Full Text: DOI OpenURL
Hochstättler, Winfried Linear optimization. (Lineare Optimierung.) (German) Zbl 1373.90001 Heidelberg: Springer Spektrum (ISBN 978-3-662-54424-2/pbk; 978-3-662-54425-9/ebook). xiv, 305 p. (2017). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 90-01 90C05 00A06 PDF BibTeX XML Cite \textit{W. Hochstättler}, Lineare Optimierung. Heidelberg: Springer Spektrum (2017; Zbl 1373.90001) Full Text: DOI OpenURL
Bellavia, Stefania; De Simone, Valentina; di Serafino, Daniela; Morini, Benedetta On the update of constraint preconditioners for regularized KKT systems. (English) Zbl 1366.90153 Comput. Optim. Appl. 65, No. 2, 339-360 (2016). MSC: 90C20 65F08 65F10 PDF BibTeX XML Cite \textit{S. Bellavia} et al., Comput. Optim. Appl. 65, No. 2, 339--360 (2016; Zbl 1366.90153) Full Text: DOI OpenURL
Morini, Benedetta; Simoncini, Valeria; Tani, Mattia Spectral estimates for unreduced symmetric KKT systems arising from interior point methods. (English) Zbl 1413.65246 Numer. Linear Algebra Appl. 23, No. 5, 776-800 (2016). MSC: 65K05 90C20 90C51 65F08 PDF BibTeX XML Cite \textit{B. Morini} et al., Numer. Linear Algebra Appl. 23, No. 5, 776--800 (2016; Zbl 1413.65246) Full Text: DOI OpenURL
Khanjani Shiraz, Rashed; Tavana, Madjid; Di Caprio, Debora; Fukuyama, Hirofumi Solving geometric programming problems with normal, linear and zigzag uncertainty distributions. (English) Zbl 1351.90088 J. Optim. Theory Appl. 170, No. 3, 1075-1078 (2016). MSC: 90B30 49K45 90C51 90C90 PDF BibTeX XML Cite \textit{R. Khanjani Shiraz} et al., J. Optim. Theory Appl. 170, No. 3, 1075--1078 (2016; Zbl 1351.90088) Full Text: DOI OpenURL
EL Foutayeni, Youssef; EL Bouanani, Hicham; Khaladi, Mohamed An efficient fifth-order method for linear optimization. (English) Zbl 1346.90570 J. Optim. Theory Appl. 170, No. 1, 189-204 (2016). MSC: 90C05 90C51 90C20 90C60 PDF BibTeX XML Cite \textit{Y. EL Foutayeni} et al., J. Optim. Theory Appl. 170, No. 1, 189--204 (2016; Zbl 1346.90570) Full Text: DOI OpenURL
Mészáros, Csaba Exploiting hardware capabilities in interior point methods. (English) Zbl 1382.90115 Optim. Methods Softw. 31, No. 2, 435-443 (2016). MSC: 90C51 65K05 65Y05 65Y10 90C05 PDF BibTeX XML Cite \textit{C. Mészáros}, Optim. Methods Softw. 31, No. 2, 435--443 (2016; Zbl 1382.90115) Full Text: DOI OpenURL
Castro, Jordi Interior-point solver for convex separable block-angular problems. (English) Zbl 1338.90455 Optim. Methods Softw. 31, No. 1, 88-109 (2016). MSC: 90C51 90C25 90C06 90C05 90C20 65K05 65F08 65F10 65Y05 PDF BibTeX XML Cite \textit{J. Castro}, Optim. Methods Softw. 31, No. 1, 88--109 (2016; Zbl 1338.90455) Full Text: DOI Link OpenURL
Mut, Murat; Terlaky, Tamás An analogue of the Klee-Walkup result for sonnevend’s curvature of the central path. (English) Zbl 1370.90140 J. Optim. Theory Appl. 169, No. 1, 17-31 (2016). MSC: 90C05 90C51 52B05 65K05 68Q25 90C60 PDF BibTeX XML Cite \textit{M. Mut} and \textit{T. Terlaky}, J. Optim. Theory Appl. 169, No. 1, 17--31 (2016; Zbl 1370.90140) Full Text: DOI OpenURL
Bagherpour, Negin; Mahdavi-Amiri, Nezam A new error in variables model for solving positive definite linear system using orthogonal matrix decompositions. (English) Zbl 1355.65046 Numer. Algorithms 72, No. 1, 211-241 (2016). Reviewer: Radek Kucera (Ostrava) MSC: 65F05 65F20 65K05 90C20 90C51 PDF BibTeX XML Cite \textit{N. Bagherpour} and \textit{N. Mahdavi-Amiri}, Numer. Algorithms 72, No. 1, 211--241 (2016; Zbl 1355.65046) Full Text: DOI arXiv OpenURL
Liu, Changhe; Shang, Youlin; Liu, Hongwei An \(O(\sqrt{n}L)\) iteration Mehrotra-type predictor-corrector algorithm for monotone linear complementarity problem. (English) Zbl 1345.90086 Optim. Lett. 10, No. 3, 619-634 (2016). MSC: 90C33 90C51 90C60 PDF BibTeX XML Cite \textit{C. Liu} et al., Optim. Lett. 10, No. 3, 619--634 (2016; Zbl 1345.90086) Full Text: DOI OpenURL
Bai, Yanqin; Ma, Pengfei; Zhang, Jing A polynomial-time interior-point method for circular cone programming based on kernel functions. (English) Zbl 1327.90192 J. Ind. Manag. Optim. 12, No. 2, 739-756 (2016). MSC: 90C25 90C51 90C60 PDF BibTeX XML Cite \textit{Y. Bai} et al., J. Ind. Manag. Optim. 12, No. 2, 739--756 (2016; Zbl 1327.90192) Full Text: DOI OpenURL
Li, Xin; Zhang, Mingwang Interior-point algorithm for linear optimization based on a new trigonometric kernel function. (English) Zbl 1408.90318 Oper. Res. Lett. 43, No. 5, 471-475 (2015). MSC: 90C51 90C05 90C60 PDF BibTeX XML Cite \textit{X. Li} and \textit{M. Zhang}, Oper. Res. Lett. 43, No. 5, 471--475 (2015; Zbl 1408.90318) Full Text: DOI OpenURL
Bouafia, Mousaab; Benterki, Djamel; Yassine, Adnan A numerical implementation of an interior point methods for linear programming based on a new kernel function. (English) Zbl 1370.90139 Le Thi, Hoai An (ed.) et al., Modelling, computation and optimization in information systems and management sciences. Proceedings of the 3rd international conference on modelling, computation and optimization in information systems and management sciences, MCO 2015, Lorraine, France, May 11–13, 2015. Part I. Cham: Springer (ISBN 978-3-319-18160-8/pbk; 978-3-319-18161-5/ebook). Advances in Intelligent Systems and Computing 359, 357-368 (2015). MSC: 90C05 90C51 65K05 90C60 PDF BibTeX XML Cite \textit{M. Bouafia} et al., Adv. Intell. Syst. Comput. 359, 357--368 (2015; Zbl 1370.90139) Full Text: DOI OpenURL
Kruse, Florian; Ulbrich, Michael A self-concordant interior point approach for optimal control with state constraints. (English) Zbl 1356.49040 SIAM J. Optim. 25, No. 2, 770-806 (2015). MSC: 49M05 49J20 90C51 90C48 PDF BibTeX XML Cite \textit{F. Kruse} and \textit{M. Ulbrich}, SIAM J. Optim. 25, No. 2, 770--806 (2015; Zbl 1356.49040) Full Text: DOI Link OpenURL
Wachsmuth, D.; Wurst, J.-E. An interior point method designed for solving linear quadratic optimal control problems with \(hp\) finite elements. (English) Zbl 1329.49057 Optim. Methods Softw. 30, No. 6, 1276-1302 (2015). MSC: 49M37 49M25 49N10 90C51 49J20 65K05 65N30 PDF BibTeX XML Cite \textit{D. Wachsmuth} and \textit{J. E. Wurst}, Optim. Methods Softw. 30, No. 6, 1276--1302 (2015; Zbl 1329.49057) Full Text: DOI OpenURL
Orban, Dominique Limited-memory LDL\(^{\top}\) factorization of symmetric quasi-definite matrices with application to constrained optimization. (English) Zbl 1325.65042 Numer. Algorithms 70, No. 1, 9-41 (2015). MSC: 65F05 65K05 65F08 90C51 90C20 PDF BibTeX XML Cite \textit{D. Orban}, Numer. Algorithms 70, No. 1, 9--41 (2015; Zbl 1325.65042) Full Text: DOI OpenURL
Wang, G. Q.; Fan, X. J.; Zhu, D. T.; Wang, D. Z. New complexity analysis of a full-Newton step feasible interior-point algorithm for \(P_\ast(\kappa)\)-LCP. (English) Zbl 1331.90085 Optim. Lett. 9, No. 6, 1105-1119 (2015). MSC: 90C33 90C51 90C60 PDF BibTeX XML Cite \textit{G. Q. Wang} et al., Optim. Lett. 9, No. 6, 1105--1119 (2015; Zbl 1331.90085) Full Text: DOI OpenURL
Bellavia, Stefania; De Simone, Valentina; di Serafino, Daniela; Morini, Benedetta Updating constraint preconditioners for KKT systems in quadratic programming via low-rank corrections. (English) Zbl 1323.65064 SIAM J. Optim. 25, No. 3, 1787-1808 (2015). MSC: 65K05 90C20 90C25 90C51 65F08 PDF BibTeX XML Cite \textit{S. Bellavia} et al., SIAM J. Optim. 25, No. 3, 1787--1808 (2015; Zbl 1323.65064) Full Text: DOI arXiv OpenURL
Dražić, Milan D.; Lazović, Rade P.; Kovačević-Vujčić, Vera V. Sparsity preserving preconditioners for linear systems in interior-point methods. (English) Zbl 1330.90134 Comput. Optim. Appl. 61, No. 3, 557-570 (2015). MSC: 90C51 90C05 65F08 PDF BibTeX XML Cite \textit{M. D. Dražić} et al., Comput. Optim. Appl. 61, No. 3, 557--570 (2015; Zbl 1330.90134) Full Text: DOI OpenURL
Yakoubsohn, Jean-Claude The unavoidable condition…A report on the book. Book review of: P. Bürgisser and F. Cucker, Condition. The geometry of numerical algorithms. (English) Zbl 1321.00071 Jahresber. Dtsch. Math.-Ver. 117, No. 3, 225-229 (2015). MSC: 00A17 65F35 65-02 65K05 68Q15 68W01 15A12 65F10 90C51 65H10 PDF BibTeX XML Cite \textit{J.-C. Yakoubsohn}, Jahresber. Dtsch. Math.-Ver. 117, No. 3, 225--229 (2015; Zbl 1321.00071) Full Text: DOI OpenURL
Cai, X. Z.; Wang, G. Q.; El Ghami, M.; Yue, Y. J. Complexity analysis of primal-dual interior-point methods for linear optimization based on a new parametric kernel function with a trigonometric barrier term. (English) Zbl 1474.90275 Abstr. Appl. Anal. 2014, Article ID 710158, 11 p. (2014). MSC: 90C05 90C51 90C60 PDF BibTeX XML Cite \textit{X. Z. Cai} et al., Abstr. Appl. Anal. 2014, Article ID 710158, 11 p. (2014; Zbl 1474.90275) Full Text: DOI OpenURL
Chen, Yuejiao; Zhang, Mingwang A full-Newton step infeasible interior-point algorithm for LCPs based on a kernel function. (Chinese. English summary) Zbl 1324.90165 Acta Math. Sin., Chin. Ser. 57, No. 6, 1047-1060 (2014). MSC: 90C33 90C51 90C60 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{M. Zhang}, Acta Math. Sin., Chin. Ser. 57, No. 6, 1047--1060 (2014; Zbl 1324.90165) OpenURL
Zhang, Lipu; Bai, Yanqin; Xu, Yinghong; Jin, Zhengjing An improved infeasible interior-point method with full-Newton step for linear optimization. (English) Zbl 1308.90200 Pac. J. Optim. 10, No. 3, 631-647 (2014). MSC: 90C51 90C05 90C60 PDF BibTeX XML Cite \textit{L. Zhang} et al., Pac. J. Optim. 10, No. 3, 631--647 (2014; Zbl 1308.90200) Full Text: Link OpenURL
Peyghami, M. Reza; Hafshejani, S. Fathi Complexity analysis of an interior-point algorithm for linear optimization based on a new proximity function. (English) Zbl 1300.65042 Numer. Algorithms 67, No. 1, 33-48 (2014). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C05 90C51 90C60 PDF BibTeX XML Cite \textit{M. R. Peyghami} and \textit{S. F. Hafshejani}, Numer. Algorithms 67, No. 1, 33--48 (2014; Zbl 1300.65042) Full Text: DOI OpenURL
Grote, Marcus J.; Huber, Johannes; Kourounis, Drosos; Schenk, Olaf Inexact interior-point method for PDE-constrained nonlinear optimization. (English) Zbl 1305.49040 SIAM J. Sci. Comput. 36, No. 3, A1251-A1276 (2014). Reviewer: Werner H. Schmidt (Greifswald) MSC: 49M37 49J20 49K20 90C51 90C26 90C06 90C90 65J22 65F22 86A15 86A05 PDF BibTeX XML Cite \textit{M. J. Grote} et al., SIAM J. Sci. Comput. 36, No. 3, A1251--A1276 (2014; Zbl 1305.49040) Full Text: DOI Link OpenURL
Kheirfam, Behrouz A new complexity analysis for full-Newton step infeasible interior-point algorithm for horizontal linear complementarity problems. (English) Zbl 1293.90072 J. Optim. Theory Appl. 161, No. 3, 853-869 (2014). MSC: 90C33 90C51 90C60 PDF BibTeX XML Cite \textit{B. Kheirfam}, J. Optim. Theory Appl. 161, No. 3, 853--869 (2014; Zbl 1293.90072) Full Text: DOI OpenURL
El Ghami, Mohamed Primal-dual algorithms for \(P_\ast(\kappa)\) linear complementarity problems based on kernel-function with trigonometric barrier term. (English) Zbl 1375.90314 Migdalas, Athanasios (ed.) et al., Optimization theory, decision making, and operations research applications. Proceedings of the 1st international symposium and 10th Balkan conference on operational research, Thessaloniki, Greece, September 22–25, 2011. New York, NY: Springer (ISBN 978-1-4614-5133-4/hbk; 978-1-4614-5134-1/ebook). Springer Proceedings in Mathematics & Statistics 31, 331-349 (2013). MSC: 90C51 90C33 90C60 PDF BibTeX XML Cite \textit{M. El Ghami}, Springer Proc. Math. Stat. 31, 331--349 (2013; Zbl 1375.90314) Full Text: DOI OpenURL
Mészáros, Csaba On sparse matrix orderings in interior point methods. (English) Zbl 1294.65051 Optim. Eng. 14, No. 4, 519-527 (2013). MSC: 65F50 65K10 90C05 PDF BibTeX XML Cite \textit{C. Mészáros}, Optim. Eng. 14, No. 4, 519--527 (2013; Zbl 1294.65051) Full Text: DOI OpenURL
Lai, Ming-Jun; Yin, Wotao Augmented \(\ell_1\) and nuclear-norm models with a globally linearly convergent algorithm. (English) Zbl 1279.68329 SIAM J. Imaging Sci. 6, No. 2, 1059-1091 (2013). MSC: 68U10 65K10 90C25 90C51 PDF BibTeX XML Cite \textit{M.-J. Lai} and \textit{W. Yin}, SIAM J. Imaging Sci. 6, No. 2, 1059--1091 (2013; Zbl 1279.68329) Full Text: DOI arXiv OpenURL
Khan, Akhtar A.; Sama, Miguel A new conical regularization for some optimization and optimal control problems: convergence analysis and finite element discretization. (English) Zbl 1275.49054 Numer. Funct. Anal. Optim. 34, No. 8, 861-895 (2013). MSC: 49M30 49M25 49J20 90C30 90C51 PDF BibTeX XML Cite \textit{A. A. Khan} and \textit{M. Sama}, Numer. Funct. Anal. Optim. 34, No. 8, 861--895 (2013; Zbl 1275.49054) Full Text: DOI OpenURL
Petukhov, Alexander; Kozlov, Inna Fast implementation of \(\ell ^1\)-greedy algorithm. (English) Zbl 1271.65062 Bilyk, Dmitriy (ed.) et al., Recent advances in harmonic analysis and applications. In honor of Konstantin Oskolkov on the occasion of his 65th birthday. Based on the AMS sectional meeting, Georgia Southern University, Statesboro, GA, USA, March 11–13, 2011. Berlin: Springer (ISBN 978-1-4614-4564-7/hbk; 978-1-4614-4565-4/ebook). Springer Proceedings in Mathematics & Statistics 25, 317-326 (2013). MSC: 65F10 90C51 65Y20 PDF BibTeX XML Cite \textit{A. Petukhov} and \textit{I. Kozlov}, Springer Proc. Math. Stat. 25, 317--326 (2013; Zbl 1271.65062) Full Text: DOI OpenURL
Bürgisser, Peter; Cucker, Felipe Condition. The geometry of numerical algorithms. (English) Zbl 1280.65041 Grundlehren der Mathematischen Wissenschaften 349. Berlin: Springer (ISBN 978-3-642-38895-8/hbk; 978-3-642-38896-5/ebook). xxxi, 554 p. (2013). Reviewer: Michael Jung (Dresden) MSC: 65F35 65-02 65K05 68Q15 68W01 15A12 65F10 90C51 65H10 PDF BibTeX XML Cite \textit{P. Bürgisser} and \textit{F. Cucker}, Condition. The geometry of numerical algorithms. Berlin: Springer (2013; Zbl 1280.65041) Full Text: DOI OpenURL
Armand, Paul; Benoist, Joël Uniform boundedness of the inverse of a Jacobian matrix arising in regularized interior-point methods. (English) Zbl 1260.49058 Math. Program. 137, No. 1-2 (A), 587-592 (2013). MSC: 49M37 90C51 90C30 90C05 65F05 65F22 65K05 PDF BibTeX XML Cite \textit{P. Armand} and \textit{J. Benoist}, Math. Program. 137, No. 1--2 (A), 587--592 (2013; Zbl 1260.49058) Full Text: DOI OpenURL
Chen, Feixiang; Feng, Yuming On extending some wide-neighborhood interior point algorithms from linear programming to linear complementarity problems. (English) Zbl 1401.90123 J. Mod. Methods Numer. Math. 3, No. 1, 11-20 (2012). MSC: 90C08 90C51 90C33 90C60 PDF BibTeX XML Cite \textit{F. Chen} and \textit{Y. Feng}, J. Mod. Methods Numer. Math. 3, No. 1, 11--20 (2012; Zbl 1401.90123) Full Text: DOI Link OpenURL
Curtis, Frank E. A penalty-interior-point algorithm for nonlinear constrained optimization. (English) Zbl 1269.49045 Math. Program. Comput. 4, No. 2, 181-209 (2012). MSC: 49M05 49M15 49M20 49M29 49M37 65F05 65F50 65K05 65K10 90C06 90C26 90C30 90C51 PDF BibTeX XML Cite \textit{F. E. Curtis}, Math. Program. Comput. 4, No. 2, 181--209 (2012; Zbl 1269.49045) Full Text: DOI OpenURL
Khorramizadeh, Mostafa On solving Newton systems of primal-dual infeasible interior point methods using ABS methods. (English) Zbl 1262.90085 Appl. Math. Sci., Ruse 6, No. 105-108, 5263-5272 (2012). MSC: 90C05 90C51 65F05 65F30 65K05 PDF BibTeX XML Cite \textit{M. Khorramizadeh}, Appl. Math. Sci., Ruse 6, No. 105--108, 5263--5272 (2012; Zbl 1262.90085) Full Text: Link OpenURL
Zhao, Xin-Yuan; Toh, Kim-Chuan Infeasible potential reduction algorithms for semidefinite programming. (English) Zbl 1284.90048 Pac. J. Optim. 8, No. 4, 725-753 (2012). MSC: 90C22 90C25 90C51 65F10 PDF BibTeX XML Cite \textit{X.-Y. Zhao} and \textit{K.-C. Toh}, Pac. J. Optim. 8, No. 4, 725--753 (2012; Zbl 1284.90048) Full Text: Link OpenURL
Tanaka, Mirai; Nakata, Kazuhide; Waki, Hayato Application of a facial reduction algorithm and an inexact primal-dual path-following method for doubly nonnegative relaxation for mixed binary nonconvex quadratic optimization problems. (English) Zbl 1259.65094 Pac. J. Optim. 8, No. 4, 699-724 (2012). MSC: 65K05 90C11 90C22 90C20 90C25 90C51 65F10 PDF BibTeX XML Cite \textit{M. Tanaka} et al., Pac. J. Optim. 8, No. 4, 699--724 (2012; Zbl 1259.65094) Full Text: Link OpenURL
Kang, Zhilin An extended projective formula and its application to semidefinite optimization. (English) Zbl 1262.90124 Int. J. Comput. Math. 89, No. 17, 2428-2439 (2012). MSC: 90C22 47A75 15B48 15A60 65K05 PDF BibTeX XML Cite \textit{Z. Kang}, Int. J. Comput. Math. 89, No. 17, 2428--2439 (2012; Zbl 1262.90124) Full Text: DOI OpenURL
Curtis, Frank E.; Huber, Johannes; Schenk, Olaf; Wächter, Andreas A note on the implementation of an interior-point algorithm for nonlinear optimization with inexact step computations. (English) Zbl 1255.49043 Math. Program. 136, No. 1 (B), 209-227 (2012). MSC: 49M05 49M15 49M37 65F10 65K05 65N22 90C06 90C26 90C30 90C51 90C90 PDF BibTeX XML Cite \textit{F. E. Curtis} et al., Math. Program. 136, No. 1 (B), 209--227 (2012; Zbl 1255.49043) Full Text: DOI OpenURL
Friedlander, M. P.; Orban, D. A primal-dual regularized interior-point method for convex quadratic programs. (English) Zbl 1279.90193 Math. Program. Comput. 4, No. 1, 71-107 (2012). MSC: 90C51 90C20 90C05 90C06 90C25 65F22 65F50 PDF BibTeX XML Cite \textit{M. P. Friedlander} and \textit{D. Orban}, Math. Program. Comput. 4, No. 1, 71--107 (2012; Zbl 1279.90193) Full Text: DOI OpenURL
Vanderbei, Robert J. Fast Fourier optimization. (English) Zbl 1257.90049 Math. Program. Comput. 4, No. 1, 53-69 (2012). MSC: 90C08 65T50 78A10 PDF BibTeX XML Cite \textit{R. J. Vanderbei}, Math. Program. Comput. 4, No. 1, 53--69 (2012; Zbl 1257.90049) Full Text: DOI arXiv OpenURL
Mehrotra, Sanjay; Huang, Kuo-Ling Computational experience with a modified potential reduction algorithm for linear programming. (English) Zbl 1260.90123 Optim. Methods Softw. 27, No. 4-5, 865-891 (2012). MSC: 90C05 90C51 90-04 65K05 PDF BibTeX XML Cite \textit{S. Mehrotra} and \textit{K.-L. Huang}, Optim. Methods Softw. 27, No. 4--5, 865--891 (2012; Zbl 1260.90123) Full Text: DOI OpenURL
Coulibaly, Z.; Orban, D. An \(\ell_1\) elastic interior-point method for mathematical programs with complementarity constraints. (English) Zbl 1252.90047 SIAM J. Optim. 22, No. 1, 187-211 (2012). MSC: 90C06 90C20 90C30 90C51 90C53 90C55 65F10 65F50 PDF BibTeX XML Cite \textit{Z. Coulibaly} and \textit{D. Orban}, SIAM J. Optim. 22, No. 1, 187--211 (2012; Zbl 1252.90047) Full Text: DOI OpenURL
Gondzio, Jacek Interior point methods 25 years later. (English) Zbl 1244.90007 Eur. J. Oper. Res. 218, No. 3, 587-601 (2012). MSC: 90-03 01A60 01A65 90C51 90C60 90C20 PDF BibTeX XML Cite \textit{J. Gondzio}, Eur. J. Oper. Res. 218, No. 3, 587--601 (2012; Zbl 1244.90007) Full Text: DOI Link OpenURL
Krzyżanowski, Piotr On block preconditioners for saddle point problems with singular or indefinite (1,1) block. (English) Zbl 1249.65059 Numer. Linear Algebra Appl. 18, No. 1, 123-140 (2011). Reviewer: Pavel Jiránek (Liberec) MSC: 65F08 65F10 65N22 65N12 35Q61 35Q30 65K10 49J20 49M37 90C51 PDF BibTeX XML Cite \textit{P. Krzyżanowski}, Numer. Linear Algebra Appl. 18, No. 1, 123--140 (2011; Zbl 1249.65059) Full Text: DOI OpenURL
Zhang, Lipu; Xu, Yinghong A full-Newton step interior-point algorithm based on modified Newton direction. (English) Zbl 1235.90083 Oper. Res. Lett. 39, No. 5, 318-322 (2011). MSC: 90C05 90C51 90C60 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{Y. Xu}, Oper. Res. Lett. 39, No. 5, 318--322 (2011; Zbl 1235.90083) Full Text: DOI OpenURL
Liu, Changhe; Liu, Hongwei; Cong, Weijie An \(O(\sqrt nL)\) iteration primal-dual second-order corrector algorithm for linear programming. (English) Zbl 1269.90058 Optim. Lett. 5, No. 4, 729-743 (2011). MSC: 90C05 90C51 90C60 PDF BibTeX XML Cite \textit{C. Liu} et al., Optim. Lett. 5, No. 4, 729--743 (2011; Zbl 1269.90058) Full Text: DOI OpenURL
Chen, Lifeng; Goldfarb, Donald An interior-point piecewise linear penalty method for nonlinear programming. (English) Zbl 1227.49039 Math. Program. 128, No. 1-2 (A), 73-122 (2011). MSC: 49M37 65F05 65K05 90C30 PDF BibTeX XML Cite \textit{L. Chen} and \textit{D. Goldfarb}, Math. Program. 128, No. 1--2 (A), 73--122 (2011; Zbl 1227.49039) Full Text: DOI Link OpenURL
Li, Lu; Toh, Kim-Chuan A polynomial-time inexact primal-dual infeasible path-following algorithm for convex quadratic SDP. (English) Zbl 1247.90211 Pac. J. Optim. 7, No. 1, 43-61 (2011). Reviewer: Paulo Mbunga (Kiel) MSC: 90C22 90C25 90C51 65F10 PDF BibTeX XML Cite \textit{L. Li} and \textit{K.-C. Toh}, Pac. J. Optim. 7, No. 1, 43--61 (2011; Zbl 1247.90211) OpenURL
Singh, J. N.; Kumar, Prabhat A note on the structure of the central path in linear programming. (English) Zbl 1223.90031 Appl. Math. Sci., Ruse 4, No. 45-48, 2263-2270 (2010). MSC: 90C05 90C51 65K05 68Q25 90C60 PDF BibTeX XML Cite \textit{J. N. Singh} and \textit{P. Kumar}, Appl. Math. Sci., Ruse 4, No. 45--48, 2263--2270 (2010; Zbl 1223.90031) Full Text: Link OpenURL
Kazeev, V. A.; Tyrtyshnikov, E. E. Structure of the Hessian matrix and an economical implementation of Newton’s method in the problem of canonical approximation of tensors. (Russian, English) Zbl 1224.65117 Zh. Vychisl. Mat. Mat. Fiz. 50, No. 6, 979-998 (2010); translation in Comput. Math., Math. Phys. 50, No. 6, 927-945 (2010). MSC: 65F30 15A69 65F10 65K05 90C51 65F08 PDF BibTeX XML Cite \textit{V. A. Kazeev} and \textit{E. E. Tyrtyshnikov}, Zh. Vychisl. Mat. Mat. Fiz. 50, No. 6, 979--998 (2010; Zbl 1224.65117); translation in Comput. Math., Math. Phys. 50, No. 6, 927--945 (2010) Full Text: DOI OpenURL
Emilio, Spedicato; Elena, Bodon; Zunquan, Xia; Nezam, Mahdavi-Amiri ABS methods for continuous and integer linear equations and optimization. (English) Zbl 1204.65064 CEJOR, Cent. Eur. J. Oper. Res. 18, No. 1, 73-95 (2010). MSC: 65K05 65F10 65H10 90C05 PDF BibTeX XML Cite \textit{S. Emilio} et al., CEJOR, Cent. Eur. J. Oper. Res. 18, No. 1, 73--95 (2010; Zbl 1204.65064) Full Text: DOI OpenURL
Li, Lu; Toh, Kim-Chuan An inexact interior point method for \(L_{1}\)-regularized sparse covariance selection. (English) Zbl 1208.90131 Math. Program. Comput. 2, No. 3-4, 291-315 (2010). MSC: 90C22 90C51 90C06 90C25 65F10 PDF BibTeX XML Cite \textit{L. Li} and \textit{K.-C. Toh}, Math. Program. Comput. 2, No. 3--4, 291--315 (2010; Zbl 1208.90131) Full Text: DOI OpenURL
Toh, Kim-Chuan; Yun, Sangwoon An accelerated proximal gradient algorithm for nuclear norm regularized linear least squares problems. (English) Zbl 1205.90218 Pac. J. Optim. 6, No. 3, 615-640 (2010). MSC: 90C22 90C25 90C51 65F10 PDF BibTeX XML Cite \textit{K.-C. Toh} and \textit{S. Yun}, Pac. J. Optim. 6, No. 3, 615--640 (2010; Zbl 1205.90218) OpenURL
Mészáros, Csaba On the implementation of interior point methods for dual-core platforms. (English) Zbl 1189.65128 Optim. Methods Softw. 25, No. 3, 449-456 (2010). MSC: 65K05 90C05 90C06 90C51 65Y05 65Y10 PDF BibTeX XML Cite \textit{C. Mészáros}, Optim. Methods Softw. 25, No. 3, 449--456 (2010; Zbl 1189.65128) Full Text: DOI OpenURL
Velazco, M. I.; Oliveira, A. R. L.; Campos, F. F. A note on hybrid preconditioners for large-scale normal equations arising from interior-point methods. (English) Zbl 1190.65055 Optim. Methods Softw. 25, No. 2, 321-332 (2010). MSC: 65F10 65K05 65F08 65F50 90C51 90C05 PDF BibTeX XML Cite \textit{M. I. Velazco} et al., Optim. Methods Softw. 25, No. 2, 321--332 (2010; Zbl 1190.65055) Full Text: DOI OpenURL
Benzi, Michele; Haber, Eldad; Taralli, Lauren Multilevel algorithms for large-scale interior point methods. (English) Zbl 1205.65199 SIAM J. Sci. Comput. 31, No. 6, 4152-4175 (2009). MSC: 65K10 65F08 90C06 90C51 49J20 49M37 90C53 65F10 PDF BibTeX XML Cite \textit{M. Benzi} et al., SIAM J. Sci. Comput. 31, No. 6, 4152--4175 (2009; Zbl 1205.65199) Full Text: DOI Link OpenURL
Lan, Guanghui; Monteiro, Renato D. C.; Tsuchiya, Takashi A polynomial predictor-corrector trust-region algorithm for linear programming. (English) Zbl 1179.65068 SIAM J. Optim. 19, No. 4, 1918-1946 (2009). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C05 90C51 90C60 65Y20 PDF BibTeX XML Cite \textit{G. Lan} et al., SIAM J. Optim. 19, No. 4, 1918--1946 (2009; Zbl 1179.65068) Full Text: DOI Link OpenURL
Lu, Zhaosong; Monteiro, Renato D. C.; O’Neal, Jerome W. An iterative solver-based long-step infeasible primal-dual path-following algorithm for convex QP based on a class of preconditioners. (English) Zbl 1172.65030 Optim. Methods Softw. 24, No. 1, 123-143 (2009). Reviewer: Otu Vaarmann (Tallinn) MSC: 65K05 65F10 65F35 90C20 90C25 90C51 PDF BibTeX XML Cite \textit{Z. Lu} et al., Optim. Methods Softw. 24, No. 1, 123--143 (2009; Zbl 1172.65030) Full Text: DOI OpenURL
Yassine, Adnan Comparative study between Lemke’s method and the interior point method for the monotone linear complementarity problem. (English) Zbl 1174.90022 Stud. Univ. Babeș-Bolyai, Math. 53, No. 3, 119-132 (2008). MSC: 90C33 65K10 65N12 78M50 65C20 PDF BibTeX XML Cite \textit{A. Yassine}, Stud. Univ. Babeș-Bolyai, Math. 53, No. 3, 119--132 (2008; Zbl 1174.90022) OpenURL
Salahi, Maziar; Terlaky, Tamás Mehrotra-type predictor-corrector algorithm revisited. (English) Zbl 1211.90128 Optim. Methods Softw. 23, No. 2, 259-273 (2008). MSC: 90C05 90C51 90-04 PDF BibTeX XML Cite \textit{M. Salahi} and \textit{T. Terlaky}, Optim. Methods Softw. 23, No. 2, 259--273 (2008; Zbl 1211.90128) Full Text: DOI OpenURL
Al-Jeiroudi, Ghussoun; Gondzio, Jacek; Hall, Julian Preconditioning indefinite systems in interior point methods for large scale linear optimisation. (English) Zbl 1162.90510 Optim. Methods Softw. 23, No. 3, 345-363 (2008). MSC: 90C05 90C51 65F50 PDF BibTeX XML Cite \textit{G. Al-Jeiroudi} et al., Optim. Methods Softw. 23, No. 3, 345--363 (2008; Zbl 1162.90510) Full Text: DOI Link OpenURL
Monteiro, Renato D. C.; Tsuchiya, Takashi A strong bound on the integral of the central path curvature and its relationship with the iteration-complexity of primal-dual path-following LP algorithms. (English) Zbl 1151.90023 Math. Program. 115, No. 1 (A), 105-149 (2008). Reviewer: Vangelis Grigoroudis (Chania) MSC: 90C05 90C51 PDF BibTeX XML Cite \textit{R. D. C. Monteiro} and \textit{T. Tsuchiya}, Math. Program. 115, No. 1 (A), 105--149 (2008; Zbl 1151.90023) Full Text: DOI OpenURL
Ji, Jun; Potra, Florian A. On the probabilistic complexity of finding an approximate solution for linear programming. (English) Zbl 1141.65043 J. Complexity 24, No. 2, 214-227 (2008). Reviewer: Efstratios Rappos (Athens) MSC: 65K05 90C51 90C60 90C05 90C06 90C59 65Y20 PDF BibTeX XML Cite \textit{J. Ji} and \textit{F. A. Potra}, J. Complexity 24, No. 2, 214--227 (2008; Zbl 1141.65043) Full Text: DOI Link OpenURL
Ren, Jihong; Greif, Chen; Greenstreet, Mark R. An efficient linear programming solver for optimal filter synthesis. (English) Zbl 1199.65209 Numer. Linear Algebra Appl. 14, No. 9, 695-712 (2007). MSC: 65K05 90C05 94A05 94C05 90C90 90C51 65F10 PDF BibTeX XML Cite \textit{J. Ren} et al., Numer. Linear Algebra Appl. 14, No. 9, 695--712 (2007; Zbl 1199.65209) Full Text: DOI OpenURL
Rees, Tim; Greif, Chen A preconditioner for linear systems arising from interior point optimization methods. (English) Zbl 1155.65048 SIAM J. Sci. Comput. 29, No. 5, 1992-2007 (2007). Reviewer: Stefan Mititelu (Bucureşti) MSC: 65K05 90C51 90C05 90C20 65F10 65F35 PDF BibTeX XML Cite \textit{T. Rees} and \textit{C. Greif}, SIAM J. Sci. Comput. 29, No. 5, 1992--2007 (2007; Zbl 1155.65048) Full Text: DOI Link OpenURL
Hintermüller, M. Mesh independence and fast local convergence of a primal-dual active-set method for mixed control-state constrained elliptic control problems. (English) Zbl 1154.65057 ANZIAM J. 49, No. 1, 1-38 (2007). Reviewer: Werner H. Schmidt (Greifswald) MSC: 65K10 49J20 49M37 PDF BibTeX XML Cite \textit{M. Hintermüller}, ANZIAM J. 49, No. 1, 1--38 (2007; Zbl 1154.65057) Full Text: DOI OpenURL
Zhang, Li; Wang, Junling; Zhang, Mingwang Modifications of a wide-neighborhood path-following algorithm for a class of nonmonotonic linear complementary problems. (Chinese. English summary) Zbl 1145.90454 Chin. J. Eng. Math. 24, No. 4, 707-711 (2007). MSC: 90C33 90C51 90C60 PDF BibTeX XML Cite \textit{L. Zhang} et al., Chin. J. Eng. Math. 24, No. 4, 707--711 (2007; Zbl 1145.90454) OpenURL
Press, William H.; Teukolsky, Saul A.; Vetterling, William T.; Flannery, Brian P. Numerical recipes. The art of scientific computing. 3rd ed. (English) Zbl 1132.65001 Cambridge: Cambridge University Press (ISBN 978-0-521-88068-8/hbk; 978-0-511-33239-5/ebook). xxi, 1235 p. (2007). Reviewer: Octavian Pastravanu (Iaşi) MSC: 65-01 65Dxx 65Fxx 65Hxx 65Lxx 65Mxx 65Nxx 15-04 33-04 34-04 35-04 41-04 42-04 62-04 62H30 65C10 65C99 65D18 65E05 65K05 65T40 68-04 68U05 90-04 68W30 PDF BibTeX XML Cite \textit{W. H. Press} et al., Numerical recipes. The art of scientific computing. 3rd ed. Cambridge: Cambridge University Press (2007; Zbl 1132.65001) OpenURL
Salahi, M.; Terlaky, T. Adaptive large-neighborhood self-regular predictor-corrector interior-point methods for linear optimization. (English) Zbl 1138.90011 J. Optim. Theory Appl. 132, No. 1, 143-160 (2007). MSC: 90C05 90C51 90C60 PDF BibTeX XML Cite \textit{M. Salahi} and \textit{T. Terlaky}, J. Optim. Theory Appl. 132, No. 1, 143--160 (2007; Zbl 1138.90011) Full Text: DOI OpenURL
Herrero, José R.; Navarro, Juan J. Analysis of a sparse hypermatrix Cholesky with fixed-sized blocking. (English) Zbl 1122.65031 Appl. Algebra Eng. Commun. Comput. 18, No. 3, 279-295 (2007). MSC: 65F05 65F50 65Y20 PDF BibTeX XML Cite \textit{J. R. Herrero} and \textit{J. J. Navarro}, Appl. Algebra Eng. Commun. Comput. 18, No. 3, 279--295 (2007; Zbl 1122.65031) Full Text: DOI OpenURL
Deza, Antoine; Nematollahi, Eissa; Peyghami, Reza; Terlaky, Tamás The central path visits all the vertices of the Klee-Minty cube. (English) Zbl 1112.90047 Optim. Methods Softw. 21, No. 5, 851-865 (2006). MSC: 90C05 90C51 90C60 PDF BibTeX XML Cite \textit{A. Deza} et al., Optim. Methods Softw. 21, No. 5, 851--865 (2006; Zbl 1112.90047) Full Text: DOI OpenURL
Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A. Numerical optimization. Theoretical and practical aspects. Transl. from the French. 2nd reviseded. (English) Zbl 1108.65060 Universitext. Berlin: Springer (ISBN 3-540-35445-X/pbk). xiv, 490 p. (2006). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 65-02 90-08 90C05 90C20 90C30 90C51 PDF BibTeX XML Cite \textit{J. F. Bonnans} et al., Numerical optimization. Theoretical and practical aspects. Transl. from the French. 2nd reviseded. Berlin: Springer (2006; Zbl 1108.65060) Full Text: DOI OpenURL
Fu, Haoying; Ng, Michael K.; Nikolova, Mila; Barlow, Jesse L. Efficient minimization methods of mixed \(\ell2-\ell1\) and \(\ell1-\ell1\) norms for image restoration. (English) Zbl 1103.65044 SIAM J. Sci. Comput. 27, No. 6, 1881-1902 (2006). MSC: 65F22 65F10 94A08 65K05 90C05 90C20 65F35 90C51 PDF BibTeX XML Cite \textit{H. Fu} et al., SIAM J. Sci. Comput. 27, No. 6, 1881--1902 (2006; Zbl 1103.65044) Full Text: DOI OpenURL
Ye, Yinyu Improved complexity results on solving real-number linear feasibility problems. (English) Zbl 1134.90554 Math. Program. 106, No. 2 (A), 339-363 (2006). MSC: 90C60 90C08 90C51 PDF BibTeX XML Cite \textit{Y. Ye}, Math. Program. 106, No. 2 (A), 339--363 (2006; Zbl 1134.90554) Full Text: DOI OpenURL