Bomze, Immanuel M.; Gabl, Markus Optimization under uncertainty and risk: quadratic and copositive approaches. (English) Zbl 07709828 Eur. J. Oper. Res. 310, No. 2, 449-476 (2023). MSC: 90Bxx PDFBibTeX XMLCite \textit{I. M. Bomze} and \textit{M. Gabl}, Eur. J. Oper. Res. 310, No. 2, 449--476 (2023; Zbl 07709828) Full Text: DOI
Shaked-Monderer, Naomi Sign patterns of inverse doubly nonnegative matrices and inverse completely positive matrices. (English) Zbl 1505.15033 Linear Algebra Appl. 659, 10-23 (2023). Reviewer: Roksana Słowik (Gliwice) MSC: 15B48 15A23 15A09 15B35 15B57 05C50 PDFBibTeX XMLCite \textit{N. Shaked-Monderer}, Linear Algebra Appl. 659, 10--23 (2023; Zbl 1505.15033) Full Text: DOI
Lai, Zhijian; Yoshise, Akiko Completely positive factorization by a Riemannian smoothing method. (English) Zbl 1518.90123 Comput. Optim. Appl. 83, No. 3, 933-966 (2022). MSC: 90C48 15A23 15B48 90C59 PDFBibTeX XMLCite \textit{Z. Lai} and \textit{A. Yoshise}, Comput. Optim. Appl. 83, No. 3, 933--966 (2022; Zbl 1518.90123) Full Text: DOI arXiv
Shaked-Monderer, Naomi On the number of CP factorizations of a completely positive matrix. (English) Zbl 1520.15002 Linear Multilinear Algebra 70, No. 19, 3887-3904 (2022). Reviewer: Laura Cossu (Padova) MSC: 15A23 15B48 05C50 PDFBibTeX XMLCite \textit{N. Shaked-Monderer}, Linear Multilinear Algebra 70, No. 19, 3887--3904 (2022; Zbl 1520.15002) Full Text: DOI arXiv
Bettiol, Enrico; Bomze, Immanuel; Létocart, Lucas; Rinaldi, Francesco; Traversi, Emiliano Mining for diamonds – matrix generation algorithms for binary quadratically constrained quadratic problems. (English) Zbl 1511.90319 Comput. Oper. Res. 142, Article ID 105735, 11 p. (2022). MSC: 90C22 90C09 90C20 90C26 PDFBibTeX XMLCite \textit{E. Bettiol} et al., Comput. Oper. Res. 142, Article ID 105735, 11 p. (2022; Zbl 1511.90319) Full Text: DOI
Ebihara, Yoshio; Waki, Hayato; Magron, Victor; Mai, Ngoc Hoang Anh; Peaucelle, Dimitri; Tarbouriech, Sophie \(l_2\) Induced norm analysis of discrete-time LTI systems for nonnegative input signals and its application to stability analysis of recurrent neural networks. (English) Zbl 1480.93205 Eur. J. Control 62, 99-104 (2021). MSC: 93C28 93C55 93C05 90C90 PDFBibTeX XMLCite \textit{Y. Ebihara} et al., Eur. J. Control 62, 99--104 (2021; Zbl 1480.93205) Full Text: DOI arXiv
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank A simplex algorithm for rational cp-factorization. (English) Zbl 1465.90059 Math. Program. 187, No. 1-2 (A), 25-45 (2021). MSC: 90C20 11H50 11H55 PDFBibTeX XMLCite \textit{M. Dutour Sikirić} et al., Math. Program. 187, No. 1--2 (A), 25--45 (2021; Zbl 1465.90059) Full Text: DOI arXiv
Groetzner, Patrick; Dür, Mirjam A factorization method for completely positive matrices. (English) Zbl 1442.90138 Linear Algebra Appl. 591, 1-24 (2020). MSC: 90C22 15A23 15B48 PDFBibTeX XMLCite \textit{P. Groetzner} and \textit{M. Dür}, Linear Algebra Appl. 591, 1--24 (2020; Zbl 1442.90138) Full Text: DOI
Flores-Bazán, Fabián; Cárcamo, Gabriel; Caro, Stephanie Extensions of the standard quadratic optimization problem: strong duality, optimality, hidden convexity and S-lemma. (English) Zbl 1464.90049 Appl. Math. Optim. 81, No. 2, 383-408 (2020). MSC: 90C20 90C26 90C39 90C46 49N15 PDFBibTeX XMLCite \textit{F. Flores-Bazán} et al., Appl. Math. Optim. 81, No. 2, 383--408 (2020; Zbl 1464.90049) Full Text: DOI
Berman, Abraham; Shaked-Monderer, Naomi Completely positive matrices: real, rational, and integral. (English) Zbl 1401.15036 Acta Math. Vietnam. 43, No. 4, 629-639 (2018). MSC: 15B48 15A23 PDFBibTeX XMLCite \textit{A. Berman} and \textit{N. Shaked-Monderer}, Acta Math. Vietnam. 43, No. 4, 629--639 (2018; Zbl 1401.15036) Full Text: DOI
Bomze, Immanuel M. Building a completely positive factorization. (English) Zbl 1397.90288 CEJOR, Cent. Eur. J. Oper. Res. 26, No. 2, 287-305 (2018). MSC: 90C20 PDFBibTeX XMLCite \textit{I. M. Bomze}, CEJOR, Cent. Eur. J. Oper. Res. 26, No. 2, 287--305 (2018; Zbl 1397.90288) Full Text: DOI
Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan A Lagrangian-DNN relaxation: a fast method for computing tight lower bounds for a class of quadratic optimization problems. (English) Zbl 1342.90123 Math. Program. 156, No. 1-2 (A), 161-187 (2016). MSC: 90C20 90C25 90C26 PDFBibTeX XMLCite \textit{S. Kim} et al., Math. Program. 156, No. 1--2 (A), 161--187 (2016; Zbl 1342.90123) Full Text: DOI
Zhou, Anwa; Fan, Jinyan Interiors of completely positive cones. (English) Zbl 1342.65147 J. Glob. Optim. 63, No. 4, 653-675 (2015). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C05 90C22 90C25 PDFBibTeX XMLCite \textit{A. Zhou} and \textit{J. Fan}, J. Glob. Optim. 63, No. 4, 653--675 (2015; Zbl 1342.65147) Full Text: DOI arXiv
Sağol, Gizem; Yıldırım, E. Alper Analysis of copositive optimization based linear programming bounds on standard quadratic optimization. (English) Zbl 1321.90096 J. Glob. Optim. 63, No. 1, 37-59 (2015). MSC: 90C20 90C05 90C26 PDFBibTeX XMLCite \textit{G. Sağol} and \textit{E. A. Yıldırım}, J. Glob. Optim. 63, No. 1, 37--59 (2015; Zbl 1321.90096) Full Text: DOI Link
Bomze, Immanuel M.; Dickinson, Peter J. C.; Still, Georg The structure of completely positive matrices according to their CP-rank and CP-plus-rank. (English) Zbl 1321.15053 Linear Algebra Appl. 482, 191-206 (2015). MSC: 15B48 15A03 15A23 PDFBibTeX XMLCite \textit{I. M. Bomze} et al., Linear Algebra Appl. 482, 191--206 (2015; Zbl 1321.15053) Full Text: DOI
Shader, Bryan; Shaked-Monderer, Naomi; Szyld, Daniel B. Nearly positive matrices. (English) Zbl 1302.15044 Linear Algebra Appl. 449, 520-544 (2014). MSC: 15B48 PDFBibTeX XMLCite \textit{B. Shader} et al., Linear Algebra Appl. 449, 520--544 (2014; Zbl 1302.15044) Full Text: DOI
Sponsel, Julia; Dür, Mirjam Factorization and cutting planes for completely positive matrices by copositive projection. (English) Zbl 1286.90106 Math. Program. 143, No. 1-2 (A), 211-229 (2014). MSC: 90C20 90C22 90C26 PDFBibTeX XMLCite \textit{J. Sponsel} and \textit{M. Dür}, Math. Program. 143, No. 1--2 (A), 211--229 (2014; Zbl 1286.90106) Full Text: DOI
Ahmed, Faizan; Dür, Mirjam; Still, Georg Copositive programming via semi-infinite optimization. (English) Zbl 1282.90203 J. Optim. Theory Appl. 159, No. 2, 322-340 (2013). MSC: 90C34 90C46 PDFBibTeX XMLCite \textit{F. Ahmed} et al., J. Optim. Theory Appl. 159, No. 2, 322--340 (2013; Zbl 1282.90203) Full Text: DOI
Burer, Samuel; Dong, Hongbo Separation and relaxation for cones of quadratic forms. (English) Zbl 1273.90140 Math. Program. 137, No. 1-2 (A), 343-370 (2013). Reviewer: Stephan Dempe (Freiberg) MSC: 90C20 90C22 90C26 PDFBibTeX XMLCite \textit{S. Burer} and \textit{H. Dong}, Math. Program. 137, No. 1--2 (A), 343--370 (2013; Zbl 1273.90140) Full Text: DOI
Dong, Hongbo; Anstreicher, Kurt Separating doubly nonnegative and completely positive matrices. (English) Zbl 1263.90064 Math. Program. 137, No. 1-2 (A), 131-153 (2013). MSC: 90C26 90C22 90C20 15B48 PDFBibTeX XMLCite \textit{H. Dong} and \textit{K. Anstreicher}, Math. Program. 137, No. 1--2 (A), 131--153 (2013; Zbl 1263.90064) Full Text: DOI
Burer, Samuel Copositive programming. (English) Zbl 1334.90098 Anjos, Miguel F. (ed.) et al., Handbook on semidefinite, conic and polynomial optimization. New York, NY: Springer (ISBN 978-1-4614-0768-3/hbk; 978-1-4614-0769-0/ebook). International Series in Operations Research & Management Science 166, 201-218 (2012). MSC: 90C22 90C05 90-01 PDFBibTeX XMLCite \textit{S. Burer}, Int. Ser. Oper. Res. Manag. Sci. 166, 201--218 (2012; Zbl 1334.90098) Full Text: DOI
Bomze, Immanuel M.; Schachinger, Werner; Uchida, Gabriele Think co(mpletely)positive! Matrix properties, examples and a clustered bibliography on copositive optimization. (English) Zbl 1268.90051 J. Glob. Optim. 52, No. 3, 423-445 (2012). MSC: 90C26 PDFBibTeX XMLCite \textit{I. M. Bomze} et al., J. Glob. Optim. 52, No. 3, 423--445 (2012; Zbl 1268.90051) Full Text: DOI
Bomze, Immanuel M.; Jarre, Florian; Rendl, Franz Quadratic factorization heuristics for copositive programming. (English) Zbl 1219.90134 Math. Program. Comput. 3, No. 1, 37-57 (2011). MSC: 90C27 PDFBibTeX XMLCite \textit{I. M. Bomze} et al., Math. Program. Comput. 3, No. 1, 37--57 (2011; Zbl 1219.90134) Full Text: DOI
Jarre, Florian; Schmallowsky, Katrin On the computation of \(C^*\) certificates. (English) Zbl 1190.65067 J. Glob. Optim. 45, No. 2, 281-296 (2009). MSC: 65F30 15B48 PDFBibTeX XMLCite \textit{F. Jarre} and \textit{K. Schmallowsky}, J. Glob. Optim. 45, No. 2, 281--296 (2009; Zbl 1190.65067) Full Text: DOI