Castro, Cecilia Orellana; Heredia, Manolo Rodriguez; Oliveira, Aurelio R. L. Recycling basic columns of the splitting preconditioner in interior point methods. (English) Zbl 07722194 Comput. Optim. Appl. 86, No. 1, 49-78 (2023). MSC: 90C51 PDFBibTeX XMLCite \textit{C. O. Castro} et al., Comput. Optim. Appl. 86, No. 1, 49--78 (2023; Zbl 07722194) Full Text: DOI
Kikuchi, P. A.; Oliveira, A. R. L. A new approach to the splitting factor preconditioner applied to linear programming problems. (English) Zbl 1525.65052 Trends Comput. Appl. Math. 23, No. 2, 349-361 (2022). MSC: 65K05 90C05 94A12 PDFBibTeX XMLCite \textit{P. A. Kikuchi} and \textit{A. R. L. Oliveira}, Trends Comput. Appl. Math. 23, No. 2, 349--361 (2022; Zbl 1525.65052) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{P. M. Bartmeyer} et al., Numer. Algorithms 86, No. 1, 397--424 (2021; Zbl 1456.65039) Full Text: DOI
Kikuchi, Paula A.; Oliveira, Aurelio R. L. New preconditioners applied to linear programming and the compressive sensing problems. (English) Zbl 1459.90126 SN Oper. Res. Forum 1, No. 4, Paper No. 36, 21 p. (2020). MSC: 90C05 PDFBibTeX XMLCite \textit{P. A. Kikuchi} and \textit{A. R. L. Oliveira}, SN Oper. Res. Forum 1, No. 4, Paper No. 36, 21 p. (2020; Zbl 1459.90126) Full Text: DOI
Heredia, Manolo Rodriguez; Oliveira, Aurelio Ribeiro Leite A new proposal to improve the early iterations in the interior point method. (English) Zbl 1442.90201 Ann. Oper. Res. 287, No. 1, 185-208 (2020). MSC: 90C51 PDFBibTeX XMLCite \textit{M. R. Heredia} and \textit{A. R. L. Oliveira}, Ann. Oper. Res. 287, No. 1, 185--208 (2020; Zbl 1442.90201) Full Text: DOI
Casacio, Luciana; Oliveira, Aurelio R. L.; Lyra, Christiano Using groups in the splitting preconditioner computation for interior point methods. (English) Zbl 1462.90070 4OR 16, No. 4, 401-410 (2018). MSC: 90C06 90C51 PDFBibTeX XMLCite \textit{L. Casacio} et al., 4OR 16, No. 4, 401--410 (2018; Zbl 1462.90070) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Velazco} and \textit{A. R. L. Oliveira}, Oper. Res. Proc. 2017, 97--103 (2018; Zbl 1397.90400) Full Text: DOI
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 PDFBibTeX XMLCite \textit{L. Casacio} et al., Comput. Oper. Res. 85, 129--138 (2017; Zbl 1458.90634) Full Text: DOI
Suñagua, Porfirio; Oliveira, Aurelio R. L. A new approach for finding a basis for the splitting preconditioner for linear systems from interior point methods. (English) Zbl 1375.90216 Comput. Optim. Appl. 67, No. 1, 111-127 (2017). MSC: 90C05 90C51 PDFBibTeX XMLCite \textit{P. Suñagua} and \textit{A. R. L. Oliveira}, Comput. Optim. Appl. 67, No. 1, 111--127 (2017; Zbl 1375.90216) Full Text: DOI
Silva, Daniele; Velazco, Marta; Oliveira, Aurelio Influence of matrix reordering on the performance of iterative methods for solving linear systems arising from interior point methods for linear programming. (English) Zbl 1362.90283 Math. Methods Oper. Res. 85, No. 1, 97-112 (2017). MSC: 90C05 90C51 90C59 PDFBibTeX XMLCite \textit{D. Silva} et al., Math. Methods Oper. Res. 85, No. 1, 97--112 (2017; Zbl 1362.90283) Full Text: DOI
Bocanegra, Silvana; Castro, Jordi; Oliveira, Aurelio R. L. Improving an interior-point approach for large block-angular problems by hybrid preconditioners. (English) Zbl 1317.90195 Eur. J. Oper. Res. 231, No. 2, 263-273 (2013). MSC: 90C06 65F08 65K05 90C51 PDFBibTeX XMLCite \textit{S. Bocanegra} et al., Eur. J. Oper. Res. 231, No. 2, 263--273 (2013; Zbl 1317.90195) Full Text: DOI Link
Gonzalez-Lima, María D.; Oliveira, Aurelio R. L.; Oliveira, Danilo E. A robust and efficient proposal for solving linear systems arising in interior-point methods for linear programming. (English) Zbl 1287.90030 Comput. Optim. Appl. 56, No. 3, 573-597 (2013). MSC: 90C05 90C51 PDFBibTeX XMLCite \textit{M. D. Gonzalez-Lima} et al., Comput. Optim. Appl. 56, No. 3, 573--597 (2013; Zbl 1287.90030) Full Text: DOI
Ghidini, Carla T. L. S.; Oliveira, A. R. L.; Silva, Jair.; Velazco, M. I. Combining a hybrid preconditioner and a optimal adjustment algorithm to accelerate the convergence of interior point methods. (English) Zbl 1236.65065 Linear Algebra Appl. 436, No. 5, 1267-1284 (2012). MSC: 65K05 90C05 90C51 PDFBibTeX XMLCite \textit{C. T. L. S. Ghidini} et al., Linear Algebra Appl. 436, No. 5, 1267--1284 (2012; Zbl 1236.65065) Full Text: DOI
Bocanegra, S.; Campos, F. F.; Oliveira, A. R. L. Using a hybrid preconditioner for solving large-scale linear systems arising from interior point methods. (English) Zbl 1148.90350 Comput. Optim. Appl. 36, No. 2-3, 149-164 (2007). MSC: 90C51 90C06 PDFBibTeX XMLCite \textit{S. Bocanegra} et al., Comput. Optim. Appl. 36, No. 2--3, 149--164 (2007; Zbl 1148.90350) Full Text: DOI