Adm, Mohammad; Garloff, Jürgen Characterization, perturbation, and interval property of certain sign regular matrices. (English) Zbl 07312060 Linear Algebra Appl. 612, 146-161 (2021). MSC: 15A21 15B48 05A05 PDF BibTeX XML Cite \textit{M. Adm} and \textit{J. Garloff}, Linear Algebra Appl. 612, 146--161 (2021; Zbl 07312060) Full Text: DOI
Kurata, Hiroshi Some theorems on the core inverse of matrices and the core partial ordering. (English) Zbl 1426.15004 Appl. Math. Comput. 316, 43-51 (2018). MSC: 15A09 15A06 15B48 PDF BibTeX XML Cite \textit{H. Kurata}, Appl. Math. Comput. 316, 43--51 (2018; Zbl 1426.15004) Full Text: DOI
Anh, Nguyen Le Hoang; Khanh, Phan Quoc Higher-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization with nonsolid ordering cones. (English) Zbl 1379.49020 Positivity 21, No. 3, 931-953 (2017). MSC: 49K27 49J53 46G05 90C29 90C46 PDF BibTeX XML Cite \textit{N. Le H. Anh} and \textit{P. Q. Khanh}, Positivity 21, No. 3, 931--953 (2017; Zbl 1379.49020) Full Text: DOI
Sababheh, M. Piecewise quadratic interpolation and applications to the Young inequality. (English) Zbl 1379.15013 Result. Math. 72, No. 3, 1315-1328 (2017). Reviewer: Tin Yau Tam (Auburn) MSC: 15A45 15A39 15B48 41A05 41A10 47A30 47A63 26E60 PDF BibTeX XML Cite \textit{M. Sababheh}, Result. Math. 72, No. 3, 1315--1328 (2017; Zbl 1379.15013) Full Text: DOI
Guillot, Dominique; Khare, Apoorva; Rajaratnam, Bala Preserving positivity for rank-constrained matrices. (English) Zbl 1366.15028 Trans. Am. Math. Soc. 369, No. 9, 6105-6145 (2017). MSC: 15B48 15A03 15A86 PDF BibTeX XML Cite \textit{D. Guillot} et al., Trans. Am. Math. Soc. 369, No. 9, 6105--6145 (2017; Zbl 1366.15028) Full Text: DOI arXiv
Barreras, Álvaro; Peña, Juan Manuel Intervals of structured matrices. (English) Zbl 1351.15019 Ahusborde, É. (ed.) et al., Thirteenth international conference Zaragoza-Pau on mathematics and its applications. Proceedings of the conference, Jaca, Spain, September 17–18, 2014. Zaragoza: Prensas de la Universidad de Zaragoza (ISBN 978-84-16515-68-4/pbk). Monografías Matemáticas “García de Galdeano” 40, 21-27 (2016). MSC: 15B48 15A45 15B35 PDF BibTeX XML Cite \textit{Á. Barreras} and \textit{J. M. Peña}, Monogr. Mat. García Galdeano 40, 21--27 (2016; Zbl 1351.15019)
Guillot, Dominique; Khare, Apoorva; Rajaratnam, Bala Preserving positivity for matrices with sparsity constraints. (English) Zbl 1350.15014 Trans. Am. Math. Soc. 368, No. 12, 8929-8953 (2016). MSC: 15A86 15B48 05C50 15A60 PDF BibTeX XML Cite \textit{D. Guillot} et al., Trans. Am. Math. Soc. 368, No. 12, 8929--8953 (2016; Zbl 1350.15014) Full Text: DOI arXiv
Adm, Mohammad; Garloff, Jürgen Intervals of special sign regular matrices. (English) Zbl 1369.15019 Linear Multilinear Algebra 64, No. 7, 1424-1444 (2016). Reviewer: Ali Reza Moghaddamfar (Tehran) MSC: 15B48 PDF BibTeX XML Cite \textit{M. Adm} and \textit{J. Garloff}, Linear Multilinear Algebra 64, No. 7, 1424--1444 (2016; Zbl 1369.15019) Full Text: DOI
Mielniczuk, Jacek Some results on \(c\)-inverses of a core matrix. (English) Zbl 1361.15007 Indian J. Pure Appl. Math. 46, No. 3, 383-395 (2015). Reviewer: Nestor Thome (Valencia) MSC: 15A09 15B48 PDF BibTeX XML Cite \textit{J. Mielniczuk}, Indian J. Pure Appl. Math. 46, No. 3, 383--395 (2015; Zbl 1361.15007) Full Text: DOI
Liu, Xifu The Hermitian and nonnegative definite solutions of \(AX=B\) subject to \(CXC^{*} \geqslant D\). (English) Zbl 1338.15010 Math. Inequal. Appl. 18, No. 4, 1367-1374 (2015). Reviewer: Iveta Hnetynkova (Praha) MSC: 15A06 15A39 15B48 PDF BibTeX XML Cite \textit{X. Liu}, Math. Inequal. Appl. 18, No. 4, 1367--1374 (2015; Zbl 1338.15010) Full Text: DOI
Seeger, Alberto; Sossa, David Complementarity problems with respect to Loewnerian cones. (English) Zbl 1320.90093 J. Glob. Optim. 62, No. 2, 299-318 (2015). MSC: 90C33 15B48 65H10 65K15 15A18 65F20 PDF BibTeX XML Cite \textit{A. Seeger} and \textit{D. Sossa}, J. Glob. Optim. 62, No. 2, 299--318 (2015; Zbl 1320.90093) Full Text: DOI
Khan, Akhtar A.; Tammer, Christiane; Zălinescu, Constantin Set-valued optimization. An introduction with applications. (English) Zbl 1308.49004 Vector Optimization. Berlin: Springer (ISBN 978-3-642-54264-0/hbk; 978-3-642-54265-7/ebook). xxii, 765 p. (2015). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 49-02 49J53 49J52 49J40 49K40 49N15 90-02 90C46 90C48 90C56 90C90 91B15 PDF BibTeX XML Cite \textit{A. A. Khan} et al., Set-valued optimization. An introduction with applications. Berlin: Springer (2015; Zbl 1308.49004) Full Text: DOI
Hiai, Fumio; Petz, Dénes Introduction to matrix analysis and applications. (English) Zbl 1321.15004 Texts and Readings in Mathematics 70. New Delhi: Hindustan Book Agency (ISBN 978-9-380250-60-1/hbk). viii, 332 p. (2014). MSC: 15-01 15A60 15A69 15A15 15A30 15A23 15B57 81P45 15A18 15A45 15B48 15A42 81Q10 PDF BibTeX XML Cite \textit{F. Hiai} and \textit{D. Petz}, Introduction to matrix analysis and applications. New Delhi: Hindustan Book Agency (2014; Zbl 1321.15004)
Abbas, M.; Németh, S. Z. Isotone projection cones and nonlinear complementarity problems. (English) Zbl 1317.49008 Ansari, Qamrul Hasan (ed.), Nonlinear analysis. Approximation theory, optimization and applications. Contributions based on the presentations at the special session on approximation theory and optimization in the Indian Mathematical Society conference, Varanasi, India, January 12–15, 2012. New Delhi: Birkhäuser/Springer (ISBN 978-81-322-1882-1/hbk; 978-81-322-1883-8/ebook). Trends in Mathematics, 323-347 (2014). MSC: 49J40 90C33 47N10 PDF BibTeX XML Cite \textit{M. Abbas} and \textit{S. Z. Németh}, in: Nonlinear analysis. Approximation theory, optimization and applications. Contributions based on the presentations at the special session on approximation theory and optimization in the Indian Mathematical Society conference, Varanasi, India, January 12--15, 2012. New Delhi: Birkhäuser/Springer. 323--347 (2014; Zbl 1317.49008) Full Text: DOI
Lebedeva, T. T.; Semenova, N. V.; Sergienko, T. I. Properties of perturbed cones ordering the set of feasible solutions of vector optimization problem. (English. Russian original) Zbl 1308.93061 Cybern. Syst. Anal. 50, No. 5, 712-717 (2014); translation from Kibern. Sist. Anal. No. 5, 71-77 (2014). MSC: 93B25 93C73 PDF BibTeX XML Cite \textit{T. T. Lebedeva} et al., Cybern. Syst. Anal. 50, No. 5, 712--717 (2014; Zbl 1308.93061); translation from Kibern. Sist. Anal. No. 5, 71--77 (2014) Full Text: DOI
Gani, A. Nagoor; Manikandan, A. R. Det-norm on fuzzy matrices. (English) Zbl 1293.15019 Int. J. Pure Appl. Math. 92, No. 1, 1-12 (2014). MSC: 15B15 15B48 15A60 15A15 PDF BibTeX XML Cite \textit{A. N. Gani} and \textit{A. R. Manikandan}, Int. J. Pure Appl. Math. 92, No. 1, 1--12 (2014; Zbl 1293.15019) Full Text: Link
Cohen, Joel E. Chebyshev and Grüss inequalities for real rectangular matrices. (English) Zbl 1291.15054 Linear Algebra Appl. 447, 133-138 (2014). MSC: 15A45 15A60 15B48 PDF BibTeX XML Cite \textit{J. E. Cohen}, Linear Algebra Appl. 447, 133--138 (2014; Zbl 1291.15054) Full Text: DOI
Hiai, Fumio; Petz, Dénes Introduction to matrix analysis and applications. (English) Zbl 1303.15001 Universitext. Cham: Springer; New Delhi: Hindustan Book Agency (ISBN 978-3-319-04149-0/pbk; 978-3-319-04150-6/ebook). viii, 332 p. (2014). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15-01 15A60 15A69 15A15 15A30 15A23 15B57 81P45 15A18 15A45 15B48 15A42 81Q10 PDF BibTeX XML Cite \textit{F. Hiai} and \textit{D. Petz}, Introduction to matrix analysis and applications. Cham: Springer; New Delhi: Hindustan Book Agency (2014; Zbl 1303.15001) Full Text: DOI
Adm, Mohammad; Garloff, Jürgen Intervals of totally nonnegative matrices. (English) Zbl 1283.15099 Linear Algebra Appl. 439, No. 12, 3796-3806 (2013). MSC: 15B48 PDF BibTeX XML Cite \textit{M. Adm} and \textit{J. Garloff}, Linear Algebra Appl. 439, No. 12, 3796--3806 (2013; Zbl 1283.15099) Full Text: DOI
Leugering, G.; Schiel, R. Regularized nonlinear scalarization for vector optimization problems with PDE-constraints. (English) Zbl 1256.49048 GAMM-Mitt. 35, No. 2, 209-225 (2012). MSC: 49N60 49K20 PDF BibTeX XML Cite \textit{G. Leugering} and \textit{R. Schiel}, GAMM-Mitt. 35, No. 2, 209--225 (2012; Zbl 1256.49048) Full Text: DOI
Tian, Yonge On an equality and four inequalities for generalized inverses of Hermitian matrices. (English) Zbl 1253.15025 Electron. J. Linear Algebra 23, 11-42 (2012). MSC: 15A24 15A45 15B57 15B48 15A09 PDF BibTeX XML Cite \textit{Y. Tian}, Electron. J. Linear Algebra 23, 11--42 (2012; Zbl 1253.15025) Full Text: DOI Link
Krishnamoorthy, S.; Govindarasu, A. On the partial ordering of s-unitary matrices. (English) Zbl 1250.15033 Int. J. Algebra 6, No. 5-8, 227-231 (2012). MSC: 15B48 15B57 15A09 15A45 PDF BibTeX XML Cite \textit{S. Krishnamoorthy} and \textit{A. Govindarasu}, Int. J. Algebra 6, No. 5--8, 227--231 (2012; Zbl 1250.15033) Full Text: Link
Tian, Yongge Formulas for calculating the extremum ranks and inertias of a four-term quadratic matrix-valued function and their applications. (English) Zbl 1252.15026 Linear Algebra Appl. 437, No. 3, 835-859 (2012). Reviewer: Süleyman Güler (Aydin) MSC: 15A54 15A24 15A63 15B57 90C20 90C22 15B48 15A18 65K05 15A45 15A03 PDF BibTeX XML Cite \textit{Y. Tian}, Linear Algebra Appl. 437, No. 3, 835--859 (2012; Zbl 1252.15026) Full Text: DOI
Liu, Xifu; Yang, Hu Some results on the partial orderings of block matrices. (English) Zbl 1271.15021 J. Inequal. Appl. 2011, Paper No. 54, 7 p. (2011). MSC: 15B48 15A09 PDF BibTeX XML Cite \textit{X. Liu} and \textit{H. Yang}, J. Inequal. Appl. 2011, Paper No. 54, 7 p. (2011; Zbl 1271.15021) Full Text: DOI
Mielniczuk, Jacek Note on the core matrix partial ordering. (English) Zbl 1260.15006 Discuss. Math., Probab. Stat. 31, No. 1-2, 71-75 (2011). MSC: 15A09 15B48 PDF BibTeX XML Cite \textit{J. Mielniczuk}, Discuss. Math., Probab. Stat. 31, No. 1--2, 71--75 (2011; Zbl 1260.15006) Full Text: DOI
Lawson, Jimmie; Lim, Yongdo Monotonic properties of the least squares mean. (English) Zbl 1229.15024 Math. Ann. 351, No. 2, 267-279 (2011). Reviewer: John D. Dixon (Ottawa) MSC: 15A45 15A60 15B48 26E60 47A64 PDF BibTeX XML Cite \textit{J. Lawson} and \textit{Y. Lim}, Math. Ann. 351, No. 2, 267--279 (2011; Zbl 1229.15024) Full Text: DOI arXiv
Pena, J. M.; Szulc, T. Loewner matrix ordering in estimation of the smallest singular value. (English) Zbl 1221.65099 Electron. J. Linear Algebra 22, 466-479 (2011). MSC: 65F15 15A18 15A42 15B48 PDF BibTeX XML Cite \textit{J. M. Pena} and \textit{T. Szulc}, Electron. J. Linear Algebra 22, 466--479 (2011; Zbl 1221.65099) Full Text: DOI EMIS EuDML
Janković, Branka; Pap, Endre Full ordering in the Shorrocks mobility sense of the semiring of monotone doubly stochastic matrices. (English) Zbl 1229.15030 Linear Algebra Appl. 435, No. 7, 1585-1597 (2011). Reviewer: Václav Burjan (Praha) MSC: 15B51 60J20 15B48 91C05 16Y60 PDF BibTeX XML Cite \textit{B. Janković} and \textit{E. Pap}, Linear Algebra Appl. 435, No. 7, 1585--1597 (2011; Zbl 1229.15030) Full Text: DOI
Niezgoda, Marek Schur-Ostrowski type theorems revisited. (English) Zbl 1220.15019 J. Math. Anal. Appl. 381, No. 2, 935-946 (2011). Reviewer: Grozio Stanilov (Sofia) MSC: 15B48 PDF BibTeX XML Cite \textit{M. Niezgoda}, J. Math. Anal. Appl. 381, No. 2, 935--946 (2011; Zbl 1220.15019) Full Text: DOI
Benitez, Julio; Liu, Xiaoji; Zhong, Jin Some results on matrix partial orderings and reverse order law. (English) Zbl 1207.15035 Electron. J. Linear Algebra 20, 254-273 (2010). MSC: 15B48 15A09 PDF BibTeX XML Cite \textit{J. Benitez} et al., Electron. J. Linear Algebra 20, 254--273 (2010; Zbl 1207.15035) Full Text: EMIS EuDML
Benitez, Julio A new decomposition for square matrices. (English) Zbl 1207.15014 Electron. J. Linear Algebra 20, 207-225 (2010). MSC: 15A23 15B57 15B48 PDF BibTeX XML Cite \textit{J. Benitez}, Electron. J. Linear Algebra 20, 207--225 (2010; Zbl 1207.15014) Full Text: EMIS EuDML
Baksalary, Oskar Maria; Trenkler, Götz Core inverse of matrices. (English) Zbl 1202.15009 Linear Multilinear Algebra 58, No. 5-6, 681-697 (2010). Reviewer: Sheng Chen (Harbin) MSC: 15A09 15A24 15B48 PDF BibTeX XML Cite \textit{O. M. Baksalary} and \textit{G. Trenkler}, Linear Multilinear Algebra 58, No. 5--6, 681--697 (2010; Zbl 1202.15009) Full Text: DOI
Niezgoda, Marek Kantorovich type inequalities for ordered linear spaces. (English) Zbl 1196.15020 Electron. J. Linear Algebra 20, 103-114 (2010). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A45 15B48 PDF BibTeX XML Cite \textit{M. Niezgoda}, Electron. J. Linear Algebra 20, 103--114 (2010; Zbl 1196.15020) Full Text: DOI EMIS EuDML
Fujii, Masatoshi; Lee, Eun-Young; Seo, Yuki A difference counterpart to a matrix Hölder inequality. (English) Zbl 1189.15028 Linear Algebra Appl. 432, No. 10, 2565-2571 (2010). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A45 15A60 15B48 26E60 PDF BibTeX XML Cite \textit{M. Fujii} et al., Linear Algebra Appl. 432, No. 10, 2565--2571 (2010; Zbl 1189.15028) Full Text: DOI
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu The resolvent average for positive semidefinite matrices. (English) Zbl 1191.15024 Linear Algebra Appl. 432, No. 7, 1757-1771 (2010). Reviewer: Igor Klep (Ljubljana) MSC: 15B48 15A45 47A64 52A41 PDF BibTeX XML Cite \textit{H. H. Bauschke} et al., Linear Algebra Appl. 432, No. 7, 1757--1771 (2010; Zbl 1191.15024) Full Text: DOI arXiv
Zhu, Tongping The research of matrix core partial ordering. (Chinese. English summary) Zbl 1224.15067 J. Guangxi Univ. Nationalities, Nat. Sci. 15, No. 4, 80-83 (2009). MSC: 15B48 15A09 PDF BibTeX XML Cite \textit{T. Zhu}, J. Guangxi Univ. Nationalities, Nat. Sci. 15, No. 4, 80--83 (2009; Zbl 1224.15067)
Zhou, Minna On \(\Gamma\)-inverses and star ordering in morphism set. (Chinese. English summary) Zbl 1199.15024 Pure Appl. Math. 25, No. 2, 244-250 (2009). MSC: 15A09 18A20 15B48 PDF BibTeX XML Cite \textit{M. Zhou}, Pure Appl. Math. 25, No. 2, 244--250 (2009; Zbl 1199.15024)
Bourin, Jean-Christophe; Lee, Eun-Young; Fujii, Masatoshi; Seo, Yuki A matrix reverse Hölder inequality. (English) Zbl 1179.15021 Linear Algebra Appl. 431, No. 11, 2154-2159 (2009). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A45 15A60 47A30 15B48 PDF BibTeX XML Cite \textit{J.-C. Bourin} et al., Linear Algebra Appl. 431, No. 11, 2154--2159 (2009; Zbl 1179.15021) Full Text: DOI
Li, Hanyu; Yang, Hu; Shao, Hua On weighted partial orderings on the set of rectangular complex matrices. (English) Zbl 1170.15011 JIPAM, J. Inequal. Pure Appl. Math. 10, No. 2, Paper No. 41, 10 p. (2009). Reviewer: Adhemar Bultheel (Leuven) MSC: 15B48 15A45 PDF BibTeX XML Cite \textit{H. Li} et al., JIPAM, J. Inequal. Pure Appl. Math. 10, No. 2, Paper No. 41, 10 p. (2009; Zbl 1170.15011) Full Text: EMIS EuDML
Wu, H. C. Solutions of fuzzy multiobjective programming problems based on the concept of scalarization. (English) Zbl 1191.90063 J. Optim. Theory Appl. 139, No. 2, 361-378 (2008). MSC: 90C29 90C70 PDF BibTeX XML Cite \textit{H. C. Wu}, J. Optim. Theory Appl. 139, No. 2, 361--378 (2009; Zbl 1191.90063) Full Text: DOI
Zhang, Jinou; Cen, Jianmiao On matrix \(\Gamma_\alpha\)-group inverse and \(\Gamma_\alpha\)-sharp ordering. (English) Zbl 1199.15096 Chin. Q. J. Math. 23, No. 2, 215-221 (2008). MSC: 15B48 15A09 06F25 15A30 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{J. Cen}, Chin. Q. J. Math. 23, No. 2, 215--221 (2008; Zbl 1199.15096)
Liu, Xiaoji The partial ordering of antisymmetric matrices and their squares. (Chinese. English summary) Zbl 1199.15092 J. Qufu Norm. Univ., Nat. Sci. 34, No. 1, 29-32 (2008). MSC: 15B48 15A18 PDF BibTeX XML Cite \textit{X. Liu}, J. Qufu Norm. Univ., Nat. Sci. 34, No. 1, 29--32 (2008; Zbl 1199.15092)
Yang, Hu; Li, Hanyu Weighted polar decomposition and WGL partial ordering of rectangular complex matrices. (English) Zbl 1165.15013 SIAM J. Matrix Anal. Appl. 30, No. 2, 898-924 (2008). Reviewer: Nestor Thome (Valencia) MSC: 15A23 15A18 15B48 65F30 65F35 PDF BibTeX XML Cite \textit{H. Yang} and \textit{H. Li}, SIAM J. Matrix Anal. Appl. 30, No. 2, 898--924 (2008; Zbl 1165.15013) Full Text: DOI
Merikoski, Jorma K.; Liu, Xiaoji On rank subtractivity between normal matrices. (English) Zbl 1166.15012 JIPAM, J. Inequal. Pure Appl. Math. 9, No. 1, Paper No. 4, 8 p. (2008). Reviewer: John D. Dixon (Ottawa) MSC: 15B48 15A45 15A18 15A03 15B57 PDF BibTeX XML Cite \textit{J. K. Merikoski} and \textit{X. Liu}, JIPAM, J. Inequal. Pure Appl. Math. 9, No. 1, Paper No. 4, 8 p. (2008; Zbl 1166.15012) Full Text: EMIS EuDML
Yang, Hu; Shao, Hua A further study on universal positive definite matrices. (Chinese. English summary) Zbl 1174.15361 Math. Pract. Theory 38, No. 3, 114-122 (2008). MSC: 15B48 15A45 PDF BibTeX XML Cite \textit{H. Yang} and \textit{H. Shao}, Math. Pract. Theory 38, No. 3, 114--122 (2008; Zbl 1174.15361)
Liu, Xiaoji The value partial ordering of matrices. (Chinese. English summary) Zbl 1174.15360 Math. Pract. Theory 38, No. 2, 108-114 (2008). MSC: 15B48 15A18 15A09 PDF BibTeX XML Cite \textit{X. Liu}, Math. Pract. Theory 38, No. 2, 108--114 (2008; Zbl 1174.15360)
Engau, Alexander Variable preference modeling with ideal-symmetric convex cones. (English) Zbl 1166.90014 J. Glob. Optim. 42, No. 2, 295-311 (2008). Reviewer: Matthias Ehrgott (Auckland) MSC: 90C29 90B50 PDF BibTeX XML Cite \textit{A. Engau}, J. Glob. Optim. 42, No. 2, 295--311 (2008; Zbl 1166.90014) Full Text: DOI
Liu, Jianzhou; Xie, Qingming Inequalities involving Khatri-Rao products of positive semidefinite Hermitian matrices. (English) Zbl 1159.15009 Int. J. Inf. Syst. Sci. 4, No. 1, 30-40 (2008). Reviewer: Omar Hirzallah (Zarqa) MSC: 15A45 15B57 15B48 PDF BibTeX XML Cite \textit{J. Liu} and \textit{Q. Xie}, Int. J. Inf. Syst. Sci. 4, No. 1, 30--40 (2008; Zbl 1159.15009)
Meenakshi, A. R. On regularity of linear combinations of fuzzy matrices. (English) Zbl 1147.15013 J. Fuzzy Math. 16, No. 2, 495-504 (2008). MSC: 15B33 15B48 15A03 PDF BibTeX XML Cite \textit{A. R. Meenakshi}, J. Fuzzy Math. 16, No. 2, 495--504 (2008; Zbl 1147.15013)
Liu, Xiaoji The partial ordering of normal matrices and its squares. (Chinese. English summary) Zbl 1140.15303 Chin. J. Eng. Math. 24, No. 4, 741-745 (2007). MSC: 15A09 15B48 15B57 PDF BibTeX XML Cite \textit{X. Liu}, Chin. J. Eng. Math. 24, No. 4, 741--745 (2007; Zbl 1140.15303)
Marshall, Simon On the existence of extremal cones and comparative probability orderings. (English) Zbl 1136.60012 J. Math. Psychol. 51, No. 5, 319-324 (2007). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60E15 91E45 92C30 60C05 PDF BibTeX XML Cite \textit{S. Marshall}, J. Math. Psychol. 51, No. 5, 319--324 (2007; Zbl 1136.60012) Full Text: DOI
Brezinski, C.; Raydan, M. Cauchy-Schwarz and Kantorovich type inequalities for scalar and matrix moment sequences. (English) Zbl 1117.15018 Adv. Comput. Math. 26, No. 1-3, 71-80 (2007). Reviewer: Omar Hirzallah (Zarqa) MSC: 15A45 15B48 15A42 PDF BibTeX XML Cite \textit{C. Brezinski} and \textit{M. Raydan}, Adv. Comput. Math. 26, No. 1--3, 71--80 (2007; Zbl 1117.15018) Full Text: DOI
Niezgoda, Marek An extension of a result of Hwang and Pyo. (English) Zbl 1125.15024 Linear Algebra Appl. 420, No. 1, 163-174 (2007). MSC: 15B48 15A39 06F20 15A09 15B51 15A18 PDF BibTeX XML Cite \textit{M. Niezgoda}, Linear Algebra Appl. 420, No. 1, 163--174 (2007; Zbl 1125.15024) Full Text: DOI
Niezgoda, Marek Upper bounds on certain functionals defined on groups of linear operators. (English) Zbl 1149.39305 Electron. J. Linear Algebra 15, 191-200 (2006). MSC: 39B62 15A18 15B48 06F20 PDF BibTeX XML Cite \textit{M. Niezgoda}, Electron. J. Linear Algebra 15, 191--200 (2006; Zbl 1149.39305) Full Text: DOI Link EuDML
Liu, Xiaoji The partial ordering of the generalized nonnegative definite normal matrices. (English) Zbl 1126.15027 J. Appl. Algebra Discrete Struct. 4, No. 3, 129-138 (2006). Reviewer: Václav Burjan (Praha) MSC: 15B48 15B57 15A03 PDF BibTeX XML Cite \textit{X. Liu}, J. Appl. Algebra Discrete Struct. 4, No. 3, 129--138 (2006; Zbl 1126.15027)
Liu, Xiaoji The weighted generalized inverse and weighted-left(right)-star partial orderings. (Chinese. English summary) Zbl 1108.15021 J. Qufu Norm. Univ., Nat. Sci. 32, No. 2, 31-35 (2006). MSC: 15B48 15A09 PDF BibTeX XML Cite \textit{X. Liu}, J. Qufu Norm. Univ., Nat. Sci. 32, No. 2, 31--35 (2006; Zbl 1108.15021)
Liu, Xiaoji The weighted-star partial ordering of matrices. (English) Zbl 1099.15018 J. Comput. Math. Optim. 2, No. 1, 57-64 (2006). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15B48 15A09 06F20 PDF BibTeX XML Cite \textit{X. Liu}, J. Comput. Math. Optim. 2, No. 1, 57--64 (2006; Zbl 1099.15018)
Blecher, David P.; Werner, Wend Ordered \(C^{\ast}\)-modules. (English) Zbl 1118.46051 Proc. Lond. Math. Soc. (3) 92, No. 3, 682-712 (2006). Reviewer: Richard M. Timoney (Dublin) MSC: 46L08 47L07 46L07 47L25 PDF BibTeX XML Cite \textit{D. P. Blecher} and \textit{W. Werner}, Proc. Lond. Math. Soc. (3) 92, No. 3, 682--712 (2006; Zbl 1118.46051) Full Text: DOI arXiv
Yang, Zhongpeng; Feng, Xiaoxia The equivalent form of a matrix inequality and its application. (English) Zbl 1089.15018 J. Appl. Math. Comput. 20, No. 1-2, 421-431 (2006). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A45 15B48 15A09 PDF BibTeX XML Cite \textit{Z. Yang} and \textit{X. Feng}, J. Appl. Math. Comput. 20, No. 1--2, 421--431 (2006; Zbl 1089.15018) Full Text: DOI
Tian, Yongge; Styan, George P. H. Some inequalities for sums of nonnegative definite matrices in quaternions. (English) Zbl 1114.15014 J. Inequal. Appl. 2005, No. 5, 449-458 (2005). Reviewer: Fuad Kittaneh (Amman) MSC: 15A45 15B33 15B57 15B48 PDF BibTeX XML Cite \textit{Y. Tian} and \textit{G. P. H. Styan}, J. Inequal. Appl. 2005, No. 5, 449--458 (2005; Zbl 1114.15014) Full Text: DOI EuDML
Promislow, S. David; Young, Virginia R. Supermodular functions on finite lattices. (English) Zbl 1097.06008 Order 22, No. 4, 389-413 (2005). MSC: 06B99 52A20 60E15 PDF BibTeX XML Cite \textit{S. D. Promislow} and \textit{V. R. Young}, Order 22, No. 4, 389--413 (2005; Zbl 1097.06008) Full Text: DOI
Cen, Jianmiao Weighted minus ordering of morphism set in category. (Chinese. English summary) Zbl 1087.15520 J. Zhejiang Univ., Sci. Ed. 32, No. 6, 601-604, 610 (2005). MSC: 15B48 15A09 PDF BibTeX XML Cite \textit{J. Cen}, J. Zhejiang Univ., Sci. Ed. 32, No. 6, 601--604, 610 (2005; Zbl 1087.15520)
Cen, Jian-miao \(\Gamma\)-minus ordering of morphism set in category. (Chinese. English summary) Zbl 1088.15516 J. Math. Res. Expo. 25, No. 4, 683-690 (2005). MSC: 15B48 18A20 18B35 15A09 PDF BibTeX XML Cite \textit{J.-m. Cen}, J. Math. Res. Expo. 25, No. 4, 683--690 (2005; Zbl 1088.15516)
Liu, Xiaoji On minus and star partial ordering of EP matrices. (English) Zbl 1075.15023 J. Appl. Algebra Discrete Struct. 3, No. 2, 117-124 (2005). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15B48 15A18 PDF BibTeX XML Cite \textit{X. Liu}, J. Appl. Algebra Discrete Struct. 3, No. 2, 117--124 (2005; Zbl 1075.15023)
Liu, Xiaoyi The weighted right (left) star partial ordering of the quaternion matrices. (Chinese. English summary) Zbl 1081.15527 J. Guangxi Univ. Nationalities, Nat. Sci. 10, No. 4, 42-45 (2004). MSC: 15B33 15B48 15A09 PDF BibTeX XML Cite \textit{X. Liu}, J. Guangxi Univ. Nationalities, Nat. Sci. 10, No. 4, 42--45 (2004; Zbl 1081.15527)
Feng, Xiao-xia; Yang, Zhong-peng Some inequalities involving Hadamard product of any finite number of Hermitian matrices. (Chinese. English summary) Zbl 1063.15505 Chin. J. Eng. Math. 21, No. 6, 885-889 (2004). MSC: 15A45 15B48 PDF BibTeX XML Cite \textit{X.-x. Feng} and \textit{Z.-p. Yang}, Chin. J. Eng. Math. 21, No. 6, 885--889 (2004; Zbl 1063.15505)
Liu, Xiaoji The weighted Moore-Penrose inverse of sum of matrices. (English) Zbl 1069.15006 Nam, Ki-Bong (ed.) et al., Advances in algebra towards millennium problems. Proceedings of the 2004 international IMCC conference on related subjects to Clay problems, Chonbuk National University, Jeonju, Republic of Korea, August 4–6, 2004. Delhi: SAS International Publications (ISBN 81-88296-00-7/hbk). 209-216 (2004). MSC: 15A09 15B48 PDF BibTeX XML Cite \textit{X. Liu}, in: Advances in algebra towards millennium problems. Proceedings of the 2004 international IMCC conference on related subjects to Clay problems, Chonbuk National University, Jeonju, Republic of Korea, August 4--6, 2004. Delhi: SAS International Publications. 209--216 (2004; Zbl 1069.15006)
Liu, Xiaoji; Liu, Sanyang On the B-H partial ordering and star partial ordering of matrix. (Chinese. English summary) Zbl 1065.15027 J. Jilin Univ., Sci. 42, No. 1, 58-60 (2004). MSC: 15B48 15B57 PDF BibTeX XML Cite \textit{X. Liu} and \textit{S. Liu}, J. Jilin Univ., Sci. 42, No. 1, 58--60 (2004; Zbl 1065.15027)
Liu, Xiaoji The \(MK\)-weighted partial ordering and \(MK\)-weighed pseudoinverse of matrices. (English) Zbl 1075.15022 J. Appl. Algebra Discrete Struct. 2, No. 3, 191-200 (2004). Reviewer: Witold Wiȩsław (Wrocław) MSC: 15B48 15A09 PDF BibTeX XML Cite \textit{X. Liu}, J. Appl. Algebra Discrete Struct. 2, No. 3, 191--200 (2004; Zbl 1075.15022)
Meenakshi, A. R.; Inbam, C. The minus partial order in fuzzy matrices. (English) Zbl 1068.15024 J. Fuzzy Math. 12, No. 3, 695-700 (2004). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15B33 15B48 08A72 PDF BibTeX XML Cite \textit{A. R. Meenakshi} and \textit{C. Inbam}, J. Fuzzy Math. 12, No. 3, 695--700 (2004; Zbl 1068.15024)
Wu, H. C. A solution concept for fuzzy multiobjective programming problems based on convex cones. (English) Zbl 1076.90070 J. Optimization Theory Appl. 121, No. 2, 397-417 (2004). MSC: 90C70 90C29 PDF BibTeX XML Cite \textit{H. C. Wu}, J. Optim. Theory Appl. 121, No. 2, 397--417 (2004; Zbl 1076.90070) Full Text: DOI
Baksalary, Jerzy K.; Hauke, Jan Characterizations of minus and star orders between the squares of Hermitian matrices. (English) Zbl 1061.15018 Linear Algebra Appl. 388, 53-59 (2004). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15B48 15A45 15B57 PDF BibTeX XML Cite \textit{J. K. Baksalary} and \textit{J. Hauke}, Linear Algebra Appl. 388, 53--59 (2004; Zbl 1061.15018) Full Text: DOI
Baksalary, Jerzy K.; Hauke, Jan; Liu, Xiaoji; Liu, Sanyang Relationships between partial orders of matrices and their powers. (English) Zbl 1044.15011 Linear Algebra Appl. 379, 277-287 (2004). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15B48 15A45 06A06 PDF BibTeX XML Cite \textit{J. K. Baksalary} et al., Linear Algebra Appl. 379, 277--287 (2004; Zbl 1044.15011) Full Text: DOI
Werner, Wend Multipliers on matrix ordered operator spaces and some K-groups. (English) Zbl 1064.46045 J. Funct. Anal. 206, No. 2, 356-378 (2004). MSC: 46L07 46B40 46H25 46L52 47L05 47L07 47L25 47L50 PDF BibTeX XML Cite \textit{W. Werner}, J. Funct. Anal. 206, No. 2, 356--378 (2004; Zbl 1064.46045) Full Text: DOI
Hanumanthachari, J.; Sreenivasulu Reddy, G.; Vasanthi, T. On totally ordered rings whose positive cones satisfy either well-ordering principle or division property. (English) Zbl 1069.06504 Ranchi Univ. Math. J. 33(2002), 43-47 (2003). MSC: 06F25 PDF BibTeX XML Cite \textit{J. Hanumanthachari} et al., Ranchi Univ. Math. J. 33, 43--47 (2003; Zbl 1069.06504)
Wang, Zhijian; Liu, Xiaoji On three partial orderings of matrices. (English. English summary) Zbl 1065.15028 J. Math. Study 36, No. 1, 75-81 (2003). MSC: 15B48 15A45 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{X. Liu}, J. Math. Study 36, No. 1, 75--81 (2003; Zbl 1065.15028)
Guo, Ling; Tang, Xiaomin Linear operators preserving rank-partial orderings on symmetry matrix algebra. (Chinese. English summary) Zbl 1051.15003 J. Nat. Sci. Heilongjiang Univ. 20, No. 2, 35-37 (2003). MSC: 15A04 15A30 15B48 PDF BibTeX XML Cite \textit{L. Guo} and \textit{X. Tang}, J. Nat. Sci. Heilongjiang Univ. 20, No. 2, 35--37 (2003; Zbl 1051.15003)
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji Further relationships between certain partial orders of matrices and their squares. (English) Zbl 1048.15017 Linear Algebra Appl. 375, 171-180 (2003). Reviewer: Fuad Kittaneh (Amman) MSC: 15B48 15B57 15A27 PDF BibTeX XML Cite \textit{J. K. Baksalary} et al., Linear Algebra Appl. 375, 171--180 (2003; Zbl 1048.15017) Full Text: DOI
Garloff, Jürgen Intervals of almost totally positive matrices. (English) Zbl 1019.15008 Linear Algebra Appl. 363, 103-108 (2003). Reviewer: J.Zemánek (Warszawa) MSC: 15B48 65G30 PDF BibTeX XML Cite \textit{J. Garloff}, Linear Algebra Appl. 363, 103--108 (2003; Zbl 1019.15008) Full Text: DOI
Yoshida, Yuji; Kerre, Etienne E. A fuzzy ordering on multi-dimensional fuzzy sets induced from convex cones. (English) Zbl 1016.03055 Fuzzy Sets Syst. 130, No. 3, 343-355 (2002). Reviewer: M.Matłoka (Poznań) MSC: 03E72 90C70 PDF BibTeX XML Cite \textit{Y. Yoshida} and \textit{E. E. Kerre}, Fuzzy Sets Syst. 130, No. 3, 343--355 (2002; Zbl 1016.03055) Full Text: DOI
Tian, Yongge Some inequalities for sums of matrices. (English) Zbl 0987.15010 Sci. Math. Jpn. 54, No. 2, 355-361 (2001). Reviewer: Rafael Bru (Valencia) MSC: 15A45 15B48 15A09 PDF BibTeX XML Cite \textit{Y. Tian}, Sci. Math. Jpn. 54, No. 2, 355--361 (2001; Zbl 0987.15010)
Hauke, Jan; Markiewicz, Augustyn; Szulc, Tomasz Inter- and extrapolatory properties of matrix partial orderings. (English) Zbl 0982.15027 Linear Algebra Appl. 332-334, No. 1-3, 437-445 (2001). Reviewer: Václav Burjan (Praha) MSC: 15B48 PDF BibTeX XML Cite \textit{J. Hauke} et al., Linear Algebra Appl. 332--334, 437--445 (2001; Zbl 0982.15027) Full Text: DOI
Groß, Jürgen Löwner partial ordering and space preordering of Hermitian non-negative definite matrices. (English) Zbl 0979.15019 Linear Algebra Appl. 326, No. 1-3, 215-223 (2001). Reviewer: Kim Hang Kim (Montgomery) MSC: 15B48 PDF BibTeX XML Cite \textit{J. Groß}, Linear Algebra Appl. 326, No. 1--3, 215--223 (2001; Zbl 0979.15019) Full Text: DOI
Zhang, Fuzhen Schur complements and matrix inequalities in the Löwner ordering. (English) Zbl 0977.15008 Linear Algebra Appl. 321, No. 1-3, 399-410 (2000). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A45 15B48 15A69 PDF BibTeX XML Cite \textit{F. Zhang}, Linear Algebra Appl. 321, No. 1--3, 399--410 (2000; Zbl 0977.15008) Full Text: DOI
Yang, Zhongpeng Löwner partial ordering and eigenvalue of the generalized Schur complement for positive semidefinite Hermitian matrices. (Chinese. English summary) Zbl 0964.15025 J. Math. Study 33, No. 1, 89-92 (2000). Reviewer: Pei Yuan Wu (Hsinchu) MSC: 15B57 15B48 15A42 PDF BibTeX XML Cite \textit{Z. Yang}, J. Math. Study 33, No. 1, 89--92 (2000; Zbl 0964.15025)
Zhuang, Wajin \(\rho\cdot SD\) matrices over a skew field. (Chinese. English summary) Zbl 0979.15010 J. Zhangzhou Teach. Coll., Nat. Sci. 12, No. 4, 1-4 (1999). MSC: 15B33 15B48 PDF BibTeX XML Cite \textit{W. Zhuang}, J. Zhangzhou Teach. Coll., Nat. Sci. 12, No. 4, 1--4 (1999; Zbl 0979.15010)
Niezgoda, M. \(G\)-majorization inequalities for linear maps. (English) Zbl 0934.15018 Linear Algebra Appl. 292, No. 1-3, 207-231 (1999). Reviewer: K.H.Kim (Montgomery) MSC: 15A39 15B48 PDF BibTeX XML Cite \textit{M. Niezgoda}, Linear Algebra Appl. 292, No. 1--3, 207--231 (1999; Zbl 0934.15018) Full Text: DOI
Cen, Jianmiao Fuzzy matrix partial orderings and generalized inverses. (English) Zbl 0933.15042 Fuzzy Sets Syst. 105, No. 3, 453-458 (1999). MSC: 15B48 03E72 15A09 PDF BibTeX XML Cite \textit{J. Cen}, Fuzzy Sets Syst. 105, No. 3, 453--458 (1999; Zbl 0933.15042) Full Text: DOI
Groß, Jürgen; Hauke, Jan; Markiewicz, Augustyn Partial orderings, preorderings, and the polar decomposition of matrices. (English) Zbl 0932.15014 Linear Algebra Appl. 289, No. 1-3, 161-168 (1999). Reviewer: H.Havlicek (Wien) MSC: 15B48 15A23 PDF BibTeX XML Cite \textit{J. Groß} et al., Linear Algebra Appl. 289, No. 1--3, 161--168 (1999; Zbl 0932.15014) Full Text: DOI
Groß, Jürgen A note on the rank-subtractivity ordering. (English) Zbl 0941.15011 Linear Algebra Appl. 289, No. 1-3, 151-160 (1999). Reviewer: G.E.Wall (Sydney) MSC: 15A30 15A09 15B48 62H10 PDF BibTeX XML Cite \textit{J. Groß}, Linear Algebra Appl. 289, No. 1--3, 151--160 (1999; Zbl 0941.15011) Full Text: DOI
Wang, Boying; Zhang, Xiuping Löwner partial ordering and eigenvalue inequality of the generalized Schur complement. (English. English summary) Zbl 1066.15503 J. Beijing Norm. Univ., Nat. Sci. 34, No. 4, 441-444 (1998). MSC: 15A42 15B48 PDF BibTeX XML Cite \textit{B. Wang} and \textit{X. Zhang}, J. Beijing Norm. Univ., Nat. Sci. 34, No. 4, 441--444 (1998; Zbl 1066.15503)
Niezgoda, Marek On Schur-Ostrowski type theorems for group majorizations. (English) Zbl 0914.15014 J. Convex Anal. 5, No. 1, 81-105 (1998). Reviewer: R.Covaci (Cluj-Napoca) MSC: 15B48 20H15 51F15 PDF BibTeX XML Cite \textit{M. Niezgoda}, J. Convex Anal. 5, No. 1, 81--105 (1998; Zbl 0914.15014) Full Text: EuDML
Pate, Thomas H. Row appending maps, \(\Psi\)-functions, and immanant inequalities for Hermitian positive semi-definite matrices. (English) Zbl 0907.15011 Proc. Lond. Math. Soc., III. Ser. 76, No. 2, 307-358 (1998). Reviewer: Y.Kuo (Knoxville) MSC: 15A45 15A15 15A63 15B48 PDF BibTeX XML Cite \textit{T. H. Pate}, Proc. Lond. Math. Soc. (3) 76, No. 2, 307--358 (1998; Zbl 0907.15011) Full Text: DOI
Niezgoda, M. An analytical characterization of effective and of irreducible groups inducing cone orderings. (English) Zbl 0899.15012 Linear Algebra Appl. 269, 105-114 (1998). Reviewer: K.H.Kim (Montgomery) MSC: 15B48 15A30 PDF BibTeX XML Cite \textit{M. Niezgoda}, Linear Algebra Appl. 269, 105--114 (1998; Zbl 0899.15012) Full Text: DOI
Groß, Jürgen; Hauke, Jan; Markiewicz, Augustyn Some comments on matrix partial orderings. (English) Zbl 0907.15016 Discuss. Math., Algebra Stoch. Methods 17, No. 2, 203-214 (1997). Reviewer: K.H.Kim (Montgomery) MSC: 15B48 PDF BibTeX XML Cite \textit{J. Groß} et al., Discuss. Math., Algebra Stoch. Methods 17, No. 2, 203--214 (1997; Zbl 0907.15016)
Gross, Jürgen A note on a partial ordering in the set of Hermitian matrices. (English) Zbl 0889.15019 SIAM J. Matrix Anal. Appl. 18, No. 4, 887-892 (1997). Reviewer: Y.Kuo (Knoxville) MSC: 15B57 15B48 PDF BibTeX XML Cite \textit{J. Gross}, SIAM J. Matrix Anal. Appl. 18, No. 4, 887--892 (1997; Zbl 0889.15019) Full Text: DOI
Groß, Jürgen On semi-star-related matrices. (English) Zbl 0934.15025 Linear Algebra Appl. 264, 495-503 (1997). MSC: 15B48 15A09 PDF BibTeX XML Cite \textit{J. Groß}, Linear Algebra Appl. 264, 495--503 (1997; Zbl 0934.15025) Full Text: DOI
Garloff, Jürgen Vertex implications for totally nonnegative matrices. (English) Zbl 0891.15016 Gasca, Mariano (ed.) et al., Total positivity and its applications. Meeting, Zaragoza in Jaca, Spain, September 26–30, 1994. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 359, 103-107 (1996). MSC: 15B48 65G30 PDF BibTeX XML Cite \textit{J. Garloff}, in: Total positivity and its applications. Meeting, Zaragoza in Jaca, Spain, September 26--30, 1994. Dordrecht: Kluwer Academic Publishers. 103--107 (1996; Zbl 0891.15016)
Groß, Jürgen Some remarks on the Löwner partial ordering of Hermitian matrices. (English) Zbl 0882.15022 Discuss. Math., Algebra Stoch. Methods 16, No. 2, 191-195 (1996). Reviewer: R.Covaci (Cluj-Napoca) MSC: 15B57 15B48 15A42 PDF BibTeX XML Cite \textit{J. Groß}, Discuss. Math., Algebra Stoch. Methods 16, No. 2, 191--195 (1996; Zbl 0882.15022)
Berk, Robert; Marcus, Ruth Dual cones, dual norms, and simultaneous inference for partially ordered means. (English) Zbl 0871.62028 J. Am. Stat. Assoc. 91, No. 433, 318-328 (1996). MSC: 62F30 62F25 62J15 62F03 PDF BibTeX XML Cite \textit{R. Berk} and \textit{R. Marcus}, J. Am. Stat. Assoc. 91, No. 433, 318--328 (1996; Zbl 0871.62028) Full Text: DOI