## Lin, Minghua

Compute Distance To:
 Author ID: lin.minghua Published as: Lin, Minghua; Lin, M. Homepage: http://gr.xjtu.edu.cn/web/mh.lin External Links: MGP · Google Scholar
 Documents Indexed: 62 Publications since 2010 Reviewing Activity: 23 Reviews Co-Authors: 31 Co-Authors with 32 Joint Publications 1,181 Co-Co-Authors
all top 5

### Co-Authors

 30 single-authored 4 Sinnamon, Gord 2 Bourin, Jean-Christophe 2 Drury, Stephen William 2 Lee, Eun-Young 2 van den Driessche, Pauline 2 Wimmer, Harald K. 2 Wolkowicz, Henry 2 Xie, Mengyan 2 Zhang, Jiao 2 Zhang, Teng 1 Amdeberhan, Tewodros 1 Ando, Tsuyoshi 1 Catral, Minerva 1 De Angelis, Valerio 1 De Sterck, Hans 1 Furuichi, Shigeru 1 Gomilko, Oleksandr 1 Hiai, Fumio 1 Karp, Dmitriĭ Borisovich 1 Kittaneh, Fuad 1 Moll, Victor Hugo 1 Olesky, D. Dale 1 Sra, Suvrit 1 Sun, Fangfang 1 Sury, Balasubramanian 1 Wang, Qingwen 1 Yamamoto, Yusaku 1 Zhang, Fuzhen 1 Zhang, Pingping 1 Zhou, Duanmei 1 Ziętak, Krystyna
all top 5

### Serials

 19 Linear Algebra and its Applications 5 Linear and Multilinear Algebra 5 ELA. The Electronic Journal of Linear Algebra 3 Journal of Mathematical Analysis and Applications 3 Operators and Matrices 2 Mathematical Notes 2 The Mathematical Intelligencer 2 Applied Mathematics Letters 2 Mathematical Inequalities & Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Special Matrices 1 Bulletin of the Australian Mathematical Society 1 Houston Journal of Mathematics 1 Studia Mathematica 1 Acta Scientiarum Mathematicarum 1 Archiv der Mathematik 1 Calcolo 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of East China Normal University. Natural Science Edition 1 SIAM Journal on Matrix Analysis and Applications 1 Elemente der Mathematik 1 Taiwanese Journal of Mathematics 1 Communications in Contemporary Mathematics 1 Eurasian Mathematical Journal
all top 5

### Fields

 52 Linear and multilinear algebra; matrix theory (15-XX) 12 Operator theory (47-XX) 6 Real functions (26-XX) 5 Numerical analysis (65-XX) 2 Combinatorics (05-XX) 2 Special functions (33-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

50 Publications have been cited 575 times in 265 Documents Cited by Year
Singular value inequalities for matrices with numerical ranges in a sector. Zbl 1315.15016
Drury, Stephen; Lin, Minghua
2014
Some inequalities for sector matrices. Zbl 1356.15007
Lin, Minghua
2016
Fischer type determinantal inequalities for accretive-dissipative matrices. Zbl 1261.15029
Lin, Minghua
2013
Extension of a result of Haynsworth and Hartfiel. Zbl 1391.15070
Lin, Minghua
2015
Squaring a reverse AM-GM inequality. Zbl 1276.47022
Lin, Minghua
2013
Norm inequalities for accretive-dissipative operator matrices. Zbl 1306.47081
Lin, Minghua; Zhou, Duanmei
2013
On an operator Kantorovich inequality for positive linear maps. Zbl 1314.47024
Lin, Minghua
2013
A property of the geometric mean of accretive operators. Zbl 1370.47042
Lin, Minghua; Sun, Fangfang
2017
Inequalities related to $$2\times 2$$ block PPT matrices. Zbl 1345.15004
Lin, Minghua
2015
A determinantal inequality for positive semidefinite matrices. Zbl 1326.15025
Lin, Minghua
2014
Remarks on two recent results of Audenaert. Zbl 1326.15033
Lin, Minghua
2016
An eigenvalue majorization inequality for positive semidefinite block matrices. Zbl 1253.15028
Lin, Minghua; Wolkowicz, Henry
2012
Hiroshima’s theorem and matrix norm inequalities. Zbl 1363.15038
Lin, Minghua; Wolkowicz, Henry
2015
A completely PPT map. Zbl 1320.15030
Lin, Minghua
2014
On a decomposition lemma for positive semi-definite block-matrices. Zbl 1259.15044
Bourin, Jean-Christophe; Lee, Eun-Young; Lin, Minghua
2012
A note on the growth factor in Gaussian elimination for accretive-dissipative matrices. Zbl 1320.65045
Lin, Minghua
2014
Reversed determinantal inequalities for accretive-dissipative matrices. Zbl 1260.15033
Lin, Minghua
2012
A determinantal inequality involving partial traces. Zbl 1359.15013
Lin, Minghua
2016
An Oppenheim type inequality for a block Hadamard product. Zbl 1288.15023
Lin, Minghua
2014
Proof of a conjectured lower bound on the chromatic number of a graph. Zbl 1322.05054
Ando, Tsuyoshi; Lin, Minghua
2015
Positive matrices partitioned into a small number of Hermitian blocks. Zbl 1262.15037
Bourin, Jean-Christophe; Lee, Eun-Young; Lin, Minghua
2013
On a determinantal inequality arising from diffusion tensor imaging. Zbl 1372.15019
Lin, Minghua
2017
A Lewent type determinantal inequality. Zbl 1300.47028
Lin, Minghua
2013
Remarks on Kreĭn’s inequality. Zbl 1248.26032
Lin, Minghua
2012
A treatment of a determinant inequality of Fiedler and Markham. Zbl 1413.15040
Lin, Minghua
2016
A matrix trace inequality and its application. Zbl 1205.15036
Furuichi, Shigeru; Lin, Minghua
2010
A residual recurrence for Halley’s method for the matrix $$p$$th root. Zbl 1190.65070
Lin, Minghua
2010
Determinantal inequalities for block triangular matrices. Zbl 1326.15026
Lin, Minghua
2015
Regions of convergence of a Padé family of iterations for the matrix sector function and the matrix $$p$$th root. Zbl 1251.65057
Gomilko, Oleksandr; Karp, Dmitry B.; Lin, Minghua; Ziȩtak, Krystyna
2012
The Hua matrix and inequalities related to contractive matrices. Zbl 1353.15022
Lin, Minghua
2016
A proof of Thompson’s determinantal inequality. Zbl 1346.15018
Lin, Minghua; Sra, Suvrit
2016
A singular value inequality related to a linear map. Zbl 1341.15015
Lin, Minghua
2016
Trace inequalities for positive semidefinite block matrices. Zbl 1365.15026
2017
On an eigenvalue inequality involving the Hadamard product. Zbl 1352.15024
Hiai, Fumio; Lin, Minghua
2017
Inverses and eigenvalues of diamond alternating sign matrices. Zbl 1310.15008
Catral, Minerva; Lin, Minghua; Olesky, D. D.; van den Driessche, P.
2014
On Drury’s solution of Bhatia & Kittaneh’s question. Zbl 1398.15018
Lin, Minghua
2017
An extension of Harnack type determinantal inequality. Zbl 1387.15018
Lin, Minghua; Zhang, Fuzhen
2017
New properties for certain positive semidefinite matrices. Zbl 1359.15011
Lin, Minghua
2017
A pretty binomial identity. Zbl 1250.11023
Amdeberhan, Tewodros; de Angelis, Valerio; Lin, Minghua; Moll, Victor H.; Sury, B.
2012
The AM-GM inequality and CBS inequality are equivalent. Zbl 1248.26033
Lin, Minghua
2012
Some applications of a majorization inequality due to Bapat and Sunder. Zbl 1310.15033
Lin, Minghua
2015
Positive semidefinite $$3 \times 3$$ block matrices. Zbl 1326.15027
Lin, Minghua; Den Driessche, Pauline van
2014
Reversed Fischer determinantal inequalities. Zbl 1305.15049
Drury, Stephen; Lin, Minghua
2014
The generalized Sylvester matrix equation, rank minimization and Roth’s equivalence theorem. Zbl 1383.15014
Lin, Minghua; Wimmer, Harald K.
2011
The generalized Wielandt inequality in inner product spaces. Zbl 1272.15013
Lin, M.; Sinnamon, G.
2012
Unifying a result of Thompson and a result of Fiedler and Markham on block positive definite matrices. Zbl 1370.15021
Lin, Minghua; Zhang, Pingping
2017
Notes on an Anderson-Taylor type inequality. Zbl 1283.15063
Lin, Minghua
2013
Some majorization inequalities for coneigenvalues. Zbl 1252.15009
De Sterck, Hans; Lin, Minghua
2012
Revisiting a sharpened version of Hadamard’s determinant inequality. Zbl 1450.15018
Lin, Minghua; Sinnamon, Gord
2020
On some lower bounds for smallest singular value of matrices. Zbl 07411663
Lin, Minghua; Xie, Mengyan
2021
On some lower bounds for smallest singular value of matrices. Zbl 07411663
Lin, Minghua; Xie, Mengyan
2021
Revisiting a sharpened version of Hadamard’s determinant inequality. Zbl 1450.15018
Lin, Minghua; Sinnamon, Gord
2020
A property of the geometric mean of accretive operators. Zbl 1370.47042
Lin, Minghua; Sun, Fangfang
2017
On a determinantal inequality arising from diffusion tensor imaging. Zbl 1372.15019
Lin, Minghua
2017
Trace inequalities for positive semidefinite block matrices. Zbl 1365.15026
2017
On an eigenvalue inequality involving the Hadamard product. Zbl 1352.15024
Hiai, Fumio; Lin, Minghua
2017
On Drury’s solution of Bhatia & Kittaneh’s question. Zbl 1398.15018
Lin, Minghua
2017
An extension of Harnack type determinantal inequality. Zbl 1387.15018
Lin, Minghua; Zhang, Fuzhen
2017
New properties for certain positive semidefinite matrices. Zbl 1359.15011
Lin, Minghua
2017
Unifying a result of Thompson and a result of Fiedler and Markham on block positive definite matrices. Zbl 1370.15021
Lin, Minghua; Zhang, Pingping
2017
Some inequalities for sector matrices. Zbl 1356.15007
Lin, Minghua
2016
Remarks on two recent results of Audenaert. Zbl 1326.15033
Lin, Minghua
2016
A determinantal inequality involving partial traces. Zbl 1359.15013
Lin, Minghua
2016
A treatment of a determinant inequality of Fiedler and Markham. Zbl 1413.15040
Lin, Minghua
2016
The Hua matrix and inequalities related to contractive matrices. Zbl 1353.15022
Lin, Minghua
2016
A proof of Thompson’s determinantal inequality. Zbl 1346.15018
Lin, Minghua; Sra, Suvrit
2016
A singular value inequality related to a linear map. Zbl 1341.15015
Lin, Minghua
2016
Extension of a result of Haynsworth and Hartfiel. Zbl 1391.15070
Lin, Minghua
2015
Inequalities related to $$2\times 2$$ block PPT matrices. Zbl 1345.15004
Lin, Minghua
2015
Hiroshima’s theorem and matrix norm inequalities. Zbl 1363.15038
Lin, Minghua; Wolkowicz, Henry
2015
Proof of a conjectured lower bound on the chromatic number of a graph. Zbl 1322.05054
Ando, Tsuyoshi; Lin, Minghua
2015
Determinantal inequalities for block triangular matrices. Zbl 1326.15026
Lin, Minghua
2015
Some applications of a majorization inequality due to Bapat and Sunder. Zbl 1310.15033
Lin, Minghua
2015
Singular value inequalities for matrices with numerical ranges in a sector. Zbl 1315.15016
Drury, Stephen; Lin, Minghua
2014
A determinantal inequality for positive semidefinite matrices. Zbl 1326.15025
Lin, Minghua
2014
A completely PPT map. Zbl 1320.15030
Lin, Minghua
2014
A note on the growth factor in Gaussian elimination for accretive-dissipative matrices. Zbl 1320.65045
Lin, Minghua
2014
An Oppenheim type inequality for a block Hadamard product. Zbl 1288.15023
Lin, Minghua
2014
Inverses and eigenvalues of diamond alternating sign matrices. Zbl 1310.15008
Catral, Minerva; Lin, Minghua; Olesky, D. D.; van den Driessche, P.
2014
Positive semidefinite $$3 \times 3$$ block matrices. Zbl 1326.15027
Lin, Minghua; Den Driessche, Pauline van
2014
Reversed Fischer determinantal inequalities. Zbl 1305.15049
Drury, Stephen; Lin, Minghua
2014
Fischer type determinantal inequalities for accretive-dissipative matrices. Zbl 1261.15029
Lin, Minghua
2013
Squaring a reverse AM-GM inequality. Zbl 1276.47022
Lin, Minghua
2013
Norm inequalities for accretive-dissipative operator matrices. Zbl 1306.47081
Lin, Minghua; Zhou, Duanmei
2013
On an operator Kantorovich inequality for positive linear maps. Zbl 1314.47024
Lin, Minghua
2013
Positive matrices partitioned into a small number of Hermitian blocks. Zbl 1262.15037
Bourin, Jean-Christophe; Lee, Eun-Young; Lin, Minghua
2013
A Lewent type determinantal inequality. Zbl 1300.47028
Lin, Minghua
2013
Notes on an Anderson-Taylor type inequality. Zbl 1283.15063
Lin, Minghua
2013
An eigenvalue majorization inequality for positive semidefinite block matrices. Zbl 1253.15028
Lin, Minghua; Wolkowicz, Henry
2012
On a decomposition lemma for positive semi-definite block-matrices. Zbl 1259.15044
Bourin, Jean-Christophe; Lee, Eun-Young; Lin, Minghua
2012
Reversed determinantal inequalities for accretive-dissipative matrices. Zbl 1260.15033
Lin, Minghua
2012
Remarks on Kreĭn’s inequality. Zbl 1248.26032
Lin, Minghua
2012
Regions of convergence of a Padé family of iterations for the matrix sector function and the matrix $$p$$th root. Zbl 1251.65057
Gomilko, Oleksandr; Karp, Dmitry B.; Lin, Minghua; Ziȩtak, Krystyna
2012
A pretty binomial identity. Zbl 1250.11023
Amdeberhan, Tewodros; de Angelis, Valerio; Lin, Minghua; Moll, Victor H.; Sury, B.
2012
The AM-GM inequality and CBS inequality are equivalent. Zbl 1248.26033
Lin, Minghua
2012
The generalized Wielandt inequality in inner product spaces. Zbl 1272.15013
Lin, M.; Sinnamon, G.
2012
Some majorization inequalities for coneigenvalues. Zbl 1252.15009
De Sterck, Hans; Lin, Minghua
2012
The generalized Sylvester matrix equation, rank minimization and Roth’s equivalence theorem. Zbl 1383.15014
Lin, Minghua; Wimmer, Harald K.
2011
A matrix trace inequality and its application. Zbl 1205.15036
Furuichi, Shigeru; Lin, Minghua
2010
A residual recurrence for Halley’s method for the matrix $$p$$th root. Zbl 1190.65070
Lin, Minghua
2010
all top 5

### Cited by 242 Authors

 24 Lin, Minghua 17 Kittaneh, Fuad 15 Fu, Xiaohui 10 Yang, Junjian 9 Li, Yongtao 9 Moradi, Hamid Reza 8 Lu, Linzhang 8 Tam, Tin-Yau 7 Zhang, Pingping 6 Bourin, Jean-Christophe 6 Chen, Zhen 6 Elphick, Clive 6 Feng, Lihua 6 Furuichi, Shigeru 6 Lee, Eun-Young 6 Moslehian, Mohammad Sal 6 Wang, Qingwen 6 Yang, Chaojun 6 Zhang, Fuzhen 5 Abbas, Hassane 5 Choi, Daeshik 5 Dong, Sheng 5 Ghabries, Mohammad M. 5 Gumus, Ibrahim Halil 5 Hayajneh, Mostafa 5 Hayajneh, Saja 5 Omidvar, Mohsen Erfanian 5 Xue, Jianming 4 Alakhrass, Mohammad 4 Bedrani, Yassine 4 Chen, Xiaoting 4 Han, Yazhou 4 Hirzallah, Omar 4 Jiang, Xiaoyu 4 Kian, Mohsen 4 Liu, Juntong 4 Liu, Weijun 4 Nasiri, Leila 4 Sababheh, Mohamad Suboh 4 Wocjan, Pawel 4 Zheng, Yanpeng 3 Alsaadi, Fawaz E. 3 Bakherad, Mojtaba 3 Choudhury, Projesh Nath 3 Dehghani, Mahdi 3 Dinh Trung Hoa 3 He, Chuanjiang 3 Hu, Xingkai 3 Huang, Yang 3 Karp, Dmitriĭ Borisovich 3 Lau, Pan-Shun 3 Li, Yuan 3 Lin, Song 3 Lu, Fangyan 3 Mao, Yanling 3 Mhanna, Antoine 3 Mourad, Bassam 3 Paksoy, Vehbi Emrah 3 Sababheh, Mohammed 3 Shao, Jingjing 3 Sivakumar, Koratti Chengalrayan 3 Tan, Fuping 3 Yang, Changsen 3 Zhao, Jianguo 3 Ziętak, Krystyna 2 Ali, Ilyas 2 Amat, Sergio P. 2 Darvish, Vahid 2 Dragomir, Sever Silvestru 2 Drury, Stephen William 2 Ezquerro, José Antonio 2 Farokhinia, Ali 2 Gumus, Mehmet 2 Guo, Chun-Hua 2 Hernández-Verón, Miguel Ángel 2 Hu, Shasha 2 Karim, Shazia 2 Khosravi, Maryam 2 Lashkaripour, Rahmatollah 2 Lemos, Rute 2 Li, Qian 2 Liao, Wenshi 2 Liu, Jianzhen 2 Liu, Yang 2 Lu, Di 2 Luo, Wenhui 2 Mushtaq, Muhammad Umer 2 O’Brien, Cian 2 Pereira Soares, Maria da Graca 2 Quinlan, Rachel 2 Raouafi, Samir 2 Roushan, Tahere Azimi 2 Seo, Yuki 2 Sheikhhosseini, Alemeh 2 Sheybani, Shiva 2 Shi, Jian 2 Simsek, Yilmaz 2 Sinnamon, Gord 2 Taghavi Jelodar, Ali 2 Wimmer, Harald K. ...and 142 more Authors
all top 5

### Cited in 58 Serials

 58 Linear Algebra and its Applications 40 Linear and Multilinear Algebra 19 Journal of Inequalities and Applications 14 Operators and Matrices 13 Filomat 12 Mathematical Inequalities & Applications 11 Journal of Mathematical Inequalities 7 Bulletin of the Iranian Mathematical Society 7 Advances in Operator Theory 6 Journal of Mathematical Analysis and Applications 6 Positivity 6 Annals of Functional Analysis 4 ELA. The Electronic Journal of Linear Algebra 3 Applied Mathematics and Computation 3 International Journal of Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Banach Journal of Mathematical Analysis 3 AIMS Mathematics 2 The Mathematical Intelligencer 2 Czechoslovak Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Numerical Algorithms 2 Acta Mathematica Sinica. English Series 2 Hacettepe Journal of Mathematics and Statistics 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Mathematical Methods in the Applied Sciences 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Archiv der Mathematik 1 Calcolo 1 Canadian Mathematical Bulletin 1 Journal of Combinatorial Theory. Series A 1 Kyungpook Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Circuits, Systems, and Signal Processing 1 Constructive Approximation 1 Machine Learning 1 Expositiones Mathematicae 1 The Journal of Analysis 1 Combinatorics, Probability and Computing 1 Numerical Linear Algebra with Applications 1 The Electronic Journal of Combinatorics 1 Discussiones Mathematicae. Graph Theory 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Communications in Contemporary Mathematics 1 Kragujevac Journal of Mathematics 1 JP Journal of Algebra, Number Theory and Applications 1 Quantum Information Processing 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Symmetry 1 S$$\vec{\text{e}}$$MA Journal 1 Special Matrices 1 Sahand Communications in Mathematical Analysis 1 Bollettino dell’Unione Matematica Italiana
all top 5

### Cited in 21 Fields

 189 Linear and multilinear algebra; matrix theory (15-XX) 131 Operator theory (47-XX) 21 Functional analysis (46-XX) 14 Combinatorics (05-XX) 14 Real functions (26-XX) 10 Numerical analysis (65-XX) 4 Special functions (33-XX) 4 Quantum theory (81-XX) 3 Number theory (11-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Information and communication theory, circuits (94-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Functions of a complex variable (30-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX)