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## Wang, Qingwen

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 Author ID: wang.qingwen Published as: Wang, Qing-Wen; Wang, Qingwen; Wang, Q.; Wang, Qing Wen; Wang, Qing-wen; Wang, QingWen; Wang, Q. W. Homepage: http://math.shu.edu.cn/teacher/wangqingwen/ External Links: ORCID
 Documents Indexed: 217 Publications since 1993
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#### Co-Authors

 15 single-authored 22 He, ZhuoHeng 16 Lin, Chunyan 14 Duan, Xuefeng 11 Song, Guangjing 11 Yu, Shaowen 11 Zhang, Yang 10 Chang, Haixia 7 Li, Shangzhi 7 Liu, Xin 7 Yuan, Shifang 6 Dong, Changzhou 6 Liu, Juntong 6 Zhang, Xiang 5 Farid, Farid O. 5 Li, Lei 5 Rehman, Abdur 4 Huang, Shaowu 4 Li, Chunmei 4 Shen, Shuqian 4 Sun, Jianhua 4 Zhang, Qin 3 Ali Khan, Israr 3 Li, Ming 3 Li, Shizheng 3 Lin, Yong 3 Nie, Xiangrong 3 Sun, Fangfang 3 Van der Woude, Jacob Willem 3 Wu, Zhongcheng 3 Xu, Xiangjian 3 Xue, Youcai 3 Yu, Guihai 3 Yu, Juan 3 Zhang, Fuzhen 3 Zhang, Huasheng 2 Dong, Sheng 2 Feng, Lihua 2 Keleshteri, M. M. 2 Li, Jiaofen 2 Li, Ning 2 Li, Tao 2 Ning, Qun 2 Poon, Yiu-Tung 2 Qin, Feng 2 Yang, Changlan 2 Yang, Xiaoxiao 2 Yu, Yaoming 2 Zhang, Yuping 1 Agudelo, Oscar Mauricio 1 Ahmad, Muhammad Ozair 1 Akram, Muhammad 1 Ali, Ilyas 1 Cao, Lei 1 Chen, Jianheng 1 Chen, Yannan 1 Chen, Zhi 1 Cheng, Wei 1 Cvetković-Ilić, Dragana S. 1 De Moor, Bart L. R. 1 Di, Mei-Jing 1 Ding, Yuhan 1 Duan, Shan-Qi 1 Eastham, P. S. 1 Fallat, Shaun M. 1 Fan, Jinyan 1 Guterman, Alexander Èmilevich 1 Hajarian, Masoud 1 Hao, Lei 1 Hao, MingJie 1 Hasanov, Vejdi Ismailov 1 He, Zhentao 1 Huang, Liji 1 Ilić, Aleksandar 1 Israr, Ali Khan 1 Jiang, Jing 1 Jing, Jiang 1 Kreĭnes, Elena M. 1 Li, Cheng-Kun 1 Li, Chi-Kwong 1 Li, Qian 1 Li, Yijun 1 Lian, Dezhong 1 Liao, Anping 1 Lin, Minghua 1 Lu, Linzhang 1 Lu, Yunxia 1 Moslehian, Mohammad Sal 1 Nasserasr, Shahla 1 Qi, Liqun 1 Qi, Qian 1 Qin, Jianguo 1 Shum, Kar-Ping 1 Song, Fuquan 1 Steinbock, Oliver 1 Tang, Yan 1 Tian, Yong 1 Tian, Yongge 1 Wang, Aiyun 1 Wang, Desheng 1 Wang, Tingting ...and 22 more Co-Authors
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#### Serials

 24 Linear and Multilinear Algebra 19 Applied Mathematics and Computation 12 Linear Algebra and its Applications 7 Algebra Colloquium 7 ELA. The Electronic Journal of Linear Algebra 7 Journal of Shanghai University. Natural Science 7 Mathematical Sciences Research Journal 7 Communication on Applied Mathematics and Computation 6 Chinese Quarterly Journal of Mathematics 6 Journal of Applied Mathematics 5 Automatica 5 Southeast Asian Bulletin of Mathematics 5 Journal of Mathematical Research & Exposition 5 Abstract and Applied Analysis 5 Journal of Mathematical Study 4 Computers & Mathematics with Applications 4 Journal of Computational and Applied Mathematics 4 Bulletin of the Iranian Mathematical Society 3 Communications in Algebra 3 Acta Mathematica Sinica 3 Journal of Qufu Normal University. Natural Science 3 Mathematical Problems in Engineering 3 Journal of Shanghai University 3 Science China. Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Indian Journal of Pure & Applied Mathematics 2 International Journal of Theoretical Physics 2 Journal of Mathematical Analysis and Applications 2 Journal of Engineering Mathematics (Xi’an) 2 Northeastern Mathematical Journal 2 Computational and Applied Mathematics 2 Advances in Applied Clifford Algebras 2 Pure and Applied Mathematics 2 Quantum Information Processing 2 Journal of Mathematical Inequalities 2 Special Matrices 1 Analysis Mathematica 1 International Journal of Heat and Mass Transfer 1 Journal of Fluid Mechanics 1 Acta Mathematica Vietnamica 1 Ars Combinatoria 1 Canadian Mathematical Bulletin 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of Multivariate Analysis 1 Journal of Mathematics. Wuhan University 1 Bulletin of the Korean Mathematical Society 1 Advances in Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Communications in Statistics. Theory and Methods 1 International Journal of Computer Mathematics 1 Statistical Papers 1 Journal of Mathematical Sciences (New York) 1 Far East Journal of Mathematical Sciences 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Taiwanese Journal of Mathematics 1 Mathematical Sciences Research Hot-Line 1 Mathematical Inequalities & Applications 1 European Journal of Mechanics. A. Solids 1 Acta Mathematica Sinica. English Series 1 The ANZIAM Journal 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Journal of Software 1 Central European Journal of Mathematics 1 Frontiers of Mathematics in China 1 Operators and Matrices 1 Banach Journal of Mathematical Analysis 1 Journal of Applied Mathematics & Informatics 1 Journal of Shanghai Normal University. Natural Sciences
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#### Fields

 186 Linear and multilinear algebra; matrix theory (15-XX) 34 Numerical analysis (65-XX) 13 Associative rings and algebras (16-XX) 13 Operator theory (47-XX) 6 Number theory (11-XX) 6 Functional analysis (46-XX) 5 Quantum theory (81-XX) 5 Operations research, mathematical programming (90-XX) 5 Information and communication theory, circuits (94-XX) 4 Statistics (62-XX) 4 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 3 Field theory and polynomials (12-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

125 Publications have been cited 1,716 times in 400 Documents Cited by Year
A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity. Zbl 1058.15015
Wang, Qingwen
2004
Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations. Zbl 1138.15003
Wang, Qing-Wen
2005
Ranks and the least-norm of the general solution to a system of quaternion matrix equations. Zbl 1158.15010
Wang, Qing-Wen; Li, Cheng-Kun
2009
A system of real quaternion matrix equations with applications. Zbl 1180.15019
Wang, Qing-Wen; van der Woude, J. W.; Chang, Hai-Xia
2009
The general solution to a system of real quaternion matrix equations. Zbl 1138.15004
Wang, Qing-Wen
2005
Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra. Zbl 1004.15017
Wang, Qing-Wen; Sun, Jian-Hua; Li, Shang-Zhi
2002
Solvability conditions and general solution for mixed Sylvester equations. Zbl 1364.15011
Wang, Qing-Wen; He, Zhuo-Heng
2013
A real quaternion matrix equation with applications. Zbl 1317.15016
He, Zhuo-Heng; Wang, Qing-Wen
2013
The reflexive re-nonnegative definite solution to a quaternion matrix equation. Zbl 1147.15012
Wang, Qing-Wen; Zhang, Fei
2008
The common solution to six quaternion matrix equations with applications. Zbl 1141.15016
Wang, Qing-Wen; Chang, Hai-Xia; Ning, Qun
2008
Systems of coupled generalized Sylvester matrix equations. Zbl 1300.93087
Wang, Qing-Wen; He, Zhuo-Heng
2014
$$P$$-(skew)symmetric common solutions to a pair of quaternion matrix equations. Zbl 1149.15011
Wang, Qing-Wen; Chang, Hai-Xia; Lin, Chun-Yan
2008
A system of four matrix equations over von Neumann regular rings and its applications. Zbl 1083.15021
Wang, Qingwen
2005
Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field. Zbl 1217.15020
Song, Guang-Jing; Wang, Qing-Wen; Chang, Hai-Xia
2011
Extremal ranks of a quaternion matrix expression subject to consistent systems of quaternion matrix equations with applications. Zbl 1108.15014
Wang, Qing-Wen; Wu, Zhong-Cheng; Lin, Chun-Yan
2006
Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices. Zbl 1332.15006
He, Zhuo-Heng; Agudelo, Oscar Mauricio; Wang, Qing-Wen; De Moor, Bart
2016
A system of periodic discrete-time coupled Sylvester quaternion matrix equations. Zbl 1361.15015
He, Zhuoheng; Wang, Qingwen
2017
Common Hermitian solutions to some operator equations on Hilbert $$C^{*}$$-modules. Zbl 1197.47031
Wang, Qing-Wen; Wu, Zhong-Cheng
2010
The $$\eta$$-bihermitian solution to a system of real quaternion matrix equations. Zbl 1307.15019
He, Zhuo-Heng; Wang, Qing-Wen
2014
Condensed Cramer rule for some restricted quaternion linear equations. Zbl 1248.15016
Song, Guang-Jing; Wang, Qing-Wen
2011
Some matrix equations with applications. Zbl 1262.15014
Wang, Qing-Wen; He, Zhuo-Heng
2012
Extreme ranks of a linear quaternion matrix expression subject to triple quaternion matrix equations with applications. Zbl 1149.15012
Wang, Qing-Wen; Yu, Shao-Wen; Lin, Chun-Yan
2008
An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications. Zbl 1218.15008
Wang, Qingwen; van der Woude, J. W.; Yu, Shaowen
2011
A system of quaternary coupled Sylvester-type real quaternion matrix equations. Zbl 1379.93057
He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang
2018
The general solutions to some systems of matrix equations. Zbl 1334.15040
He, Zhuo-Heng; Wang, Qing-Wen
2015
Bicyclic graphs with small positive index of inertia. Zbl 1258.05080
Yu, Guihai; Feng, Lihua; Wang, Qingwen
2013
On the Hermitian solutions to a system of adjointable operator equations. Zbl 1276.47018
Farid, F. O.; Moslehian, M. S.; Wang, Qing-Wen; Wu, Zhong-Cheng
2012
Extreme ranks of (skew-)Hermitian solutions to a quaternion matrix equation. Zbl 1207.15016
Wang, Qing-Wen; Jing, Jiang
2010
Constraint generalized Sylvester matrix equations. Zbl 1338.93174
Wang, Qing-Wen; Rehman, Abdur; He, Zhuo-Heng; Zhang, Yang
2016
Extreme ranks of real matrices in solution of the quaternion matrix equation $$AXB = C$$ with applications. Zbl 1188.15016
Wang, Qingwen; Yu, Shaowen; Xie, Wei
2010
Extreme ranks of the solution to a consistent system of linear quaternion matrix equations with an application. Zbl 1124.15010
Wang, Qing-Wen; Song, Guang-Jing; Lin, Chun-Yan
2007
On solutions of the quaternion matrix equation $$AX=B$$ and their applications in color image restoration. Zbl 1329.15044
Yuan, Shi-Fang; Wang, Qing-Wen; Duan, Xue-Feng
2013
Solution to a system of real quaternion matrix equations encompassing $$\eta$$-Hermicity. Zbl 1410.15034
Rehman, Abdur; Wang, Qing-Wen; He, Zhuo-Heng
2015
On the eigenvalues of quaternion matrices. Zbl 1237.15016
Farid, F. O.; Wang, Qing-Wen; Zhang, Fuzhen
2011
On solutions to the quaternion matrix equation $$AXB+CYD=E$$. Zbl 1154.15019
Wang, Qing-Wen; Zhang, Hua-Sheng; Yu, Shao-Wen
2008
On Hermitian solutions of the split quaternion matrix equation $$AXB+CXD=E$$. Zbl 1386.15036
Yuan, Shi-Fang; Wang, Qing-Wen; Yu, Yi-Bin; Tian, Yong
2017
Maximal and minimal ranks of the common solution of some linear matrix equations over an arbitrary division ring with applications. Zbl 1176.15020
Wang, Qingwen; Song, Guang Jing; Liu, Xin
2009
Simultaneous decomposition of quaternion matrices involving $$\eta$$-Hermicity with applications. Zbl 1411.15023
He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang
2017
Two special kinds of least squares solutions for the quaternion matrix equation AXB+CXD=E. Zbl 1250.65051
Yuan, Shi-Fang; Wang, Qing-Wen
2012
Positive solutions to a system of adjointable operator equations over Hilbert $$C^*$$-modules. Zbl 1214.47015
Wang, Qing-Wen; Dong, Chang-Zhou
2010
Constrained two-sided coupled Sylvester-type quaternion matrix equations. Zbl 1409.15009
Wang, Qing-Wen; He, Zhuo-Heng; Zhang, Yang
2019
On the generalized bi (skew-) symmetric solutions of a linear matrix equation and its procrust problems. Zbl 1290.15009
Wang, Qing-Wen; Yu, Juan
2013
The common bisymmetric nonnegative definite solutions with extreme ranks and inertias to a pair of matrix equations. Zbl 1267.15017
Wang, Qing-Wen; Liu, Xin; Yu, Shao-Wen
2011
A new simultaneous decomposition of a matrix quaternity over an arbitrary division ring with applications. Zbl 1252.15014
Wang, Qing-Wen; Zhang, Xia; Van Der Woude, J. W.
2012
A new solvable condition for a pair of generalized Sylvester equations. Zbl 1190.15019
Wang, Qing-Wen; Zhang, Hua-Sheng; Song, Guang-Jing
2009
The $$(P,Q)$$-(skew)symmetric extremal rank solutions to a system of quaternion matrix equations. Zbl 1222.15022
Zhang, Qin; Wang, Qing-Wen
2011
A system of matrix equations and its applications. Zbl 1291.15043
Wang, QingWen; He, ZhuoHeng
2013
Least-squares problem for the quaternion matrix equation $$AXB+CYD=E$$ over different constrained matrices. Zbl 1278.65049
Yuan, Shi-Fang; Wang, Qing-Wen; Zhang, Xiang
2013
The real solutions to a system of quaternion matrix equations with applications. Zbl 1393.15021
Wang, Qing-Wen; Yu, Shao-Wen; Zhang, Qin
2009
The common solution to matrix equations over a regular ring with applications. Zbl 1104.15014
Wang, Qingwen; Qin, Feng
2005
A simultaneous decomposition for seven matrices with applications. Zbl 1404.15011
He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang
2019
A unified analysis on enhancing single phase convective heat transfer with field synergy principle. Zbl 1032.76688
Tao, W. Q.; He, Y. L.; Wang, Q. W.; Qu, Z. G.; Song, F. Q.
2002
($$R,S$$)-conjugate solution to a pair of linear matrix equations. Zbl 1201.15006
Chang, Hai-Xia; Wang, Qing-Wen; Song, Guang-Jing
2010
A constraint system of generalized Sylvester quaternion matrix equations. Zbl 1386.15035
2017
Inertias and ranks of some Hermitian matrix functions with applications. Zbl 1253.15050
Zhang, Xiang; Wang, Qing-Wen; Liu, Xin
2012
The common positive solution to adjointable operator equations with an application. Zbl 1264.47021
Dong, Chang-Zhou; Wang, Qing-Wen; Zhang, Yu-Ping
2012
Cramer’s rule for a system of quaternion matrix equations with applications. Zbl 1427.15019
Song, Guangjing; Wang, Qingwen; Yu, Shaowen
2018
Solutions to optimization problems on ranks and inertias of a matrix function with applications. Zbl 1309.15025
He, Zhuo-Heng; Wang, Qing-Wen
2012
Reflexive solution to a system of matrix equations. Zbl 1141.15319
Chang, Haixia; Wang, Qingwen
2007
The minimal and maximal ranks of the general solution to a system of matrix equations over an arbitrary dividion ring. Zbl 1142.15302
Lin, Chun-Yan; Wang, Qing-Wen
2006
Iterative algorithms for solving some tensor equations. Zbl 1415.65103
Wang, Qing-Wen; Xu, Xiangjian
2019
The Drazin inverse in an arbitrary semiring. Zbl 1227.15003
Khan, Israr Ali; Wang, Qing-Wen
2011
Ranks of the common solution to six quaternion matrix equations. Zbl 1304.15006
Wang, Qing-Wen; Zhou, Yan; Zhang, Qin
2011
A pair of mixed generalized Sylvester matrix equations. Zbl 1313.15029
He, Zhuoheng; Wang, Qingwen
2014
The complete equivalence canonical form of four matrices over an arbitrary division ring. Zbl 1386.15029
He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang
2018
On the centro-symmetric solution of a system of matrix equations over a regular ring with identity. Zbl 1143.15013
Wang, Qingwen; Chang, Haixia; Lin, Chunyan
2007
The common solution of some matrix equations. Zbl 1348.15012
Wang, Li; Wang, Qingwen; He, Zhuoheng
2016
The general solution to a system of adjointable operator equations over Hilbert $$C^{\ast }$$-modules. Zbl 1227.47007
Wang, Qing-Wen; Dong, Chang-Zhou
2011
On the matrix equation $$X-\sum^m_{i=1}N^\ast_iX^{-1}N_i=I$$ arising in an interpolation problem. Zbl 1288.15018
Duan, Xuefeng; Wang, Qingwen; Liao, Anping
2013
A system of matrix equations over the quaternion algebra with applications. Zbl 1375.15027
Nie, Xiangrong; Wang, Qingwen; Zhang, Yang
2017
Positive definite solution of a class of nonlinear matrix equation. Zbl 1302.65099
Duan, Xue-Feng; Wang, Qing-Wen; Li, Chun-Mei
2014
The decomposition of pairwise matrices and matrix equations over an arbitrary skew field. Zbl 0870.15007
Wang, Qingwen
1996
Rank equalities related to the generalized inverse $$A^{(2)}_{T,S}$$ with applications. Zbl 1159.15006
Wang, Qing-Wen; Song, Guang-Jing; Lin, Chun-Yan
2008
The consistency and the exact solutions to a system of matrix equations. Zbl 1357.15007
Farid, F. O.; He, Zhuo-Heng; Wang, Qing-Wen
2016
Minimal ranks of some quaternion matrix expressions with applications. Zbl 1204.15005
Ali Khan, Israr; Wang, Qing-Wen; Song, Guang-Jing
2010
New solvable conditions and a new expression of the general solution to a system of linear matrix equation over an arbitrary division ring. Zbl 1087.15018
Lin, Chunyan; Wang, Qingwen
2005
On the Hermitian structures of the solution to a pair of matrix equations. Zbl 1264.15020
Wang, Qing-Wen; Zhang, Xiang; He, Zhuo-Heng
2013
L-structured quaternion matrices and quaternion linear matrix equations. Zbl 1334.65075
Yuan, Shi-Fang; Wang, Qing-Wen
2016
Consistency of quaternion matrix equations $$AX^{\star}-XB=C$$ and $$X-AX^\star B=C^{\star}$$. Zbl 1431.15010
Liu, Xin; Wang, Qingwen; Zhang, Yang
2019
Persymmetric and perskewsymmetric solutions to sets of matrix equations over a finite central algebra. Zbl 1167.15305
Wang, Qingwen; Li, Shangzhi
2004
Roth’s theorems for constant centroselfconjugate and centroskewselfconjugate solutions to systems of linear polynomial matrix equations over a finite dimensional central algebra. Zbl 1058.15016
Wang, Qingwen; Tian, Yongge; Li, Shangzhi
2004
Equality of the BLUPs under the mixed linear model when random components and errors are correlated. Zbl 1277.62172
Liu, Xin; Wang, Qing-Wen
2013
Positive and re-positive solutions to some systems of adjointable operator equations over Hilbert $$C^\ast$$-modules. Zbl 1264.47022
Song, Guang Jing; Wang, Qing Wen
2011
Low rank approximation of the symmetric positive semidefinite matrix. Zbl 1293.65070
Duan, Xuefeng; Li, Jiaofen; Wang, Qingwen; Zhang, Xinjun
2014
On the weighted least-squares, the ordinary least-squares and the best linear unbiased estimators under a restricted growth curve model. Zbl 1297.62053
Song, Guang Jing; Wang, Qing Wen
2014
The Re-nonnegative definite solutions to the matrix equation $$AXB=C$$. Zbl 0937.15008
Wang, Qingwen; Yang, Changlan
1998
The minimal positive index of inertia of signed unicyclic graphs. Zbl 1349.05153
Yu, Guihai; Feng, Lihua; Wang, Qingwen; Ilić, Aleksandar
2014
On the solutions of two systems of quaternion matrix equations. Zbl 1405.15022
Farid, Farid O.; Nie, Xiang-Rong; Wang, Qing-Wen
2018
A system of matrix equations with five variables. Zbl 1410.15033
Rehman, Abdur; Wang, Qing-Wen
2015
On the center (skew-)self-conjugate solutions to the systems of matrix equations over a finite dimensional central algebra. Zbl 1085.15501
Wang, Qingwen
2001
Extreme ranks of a partial banded block quaternion matrix expression subject to some matrix equations with applications. Zbl 1227.15015
Lian, Dezhong; Wang, Qingwen; Tang, Yan
2011
The equalities of blups for linear combinations under two general linear mixed models. Zbl 1462.62431
Wang, Qing-Wen; Liu, Xin
2013
On the Hermitian $$R$$-conjugate solution of a system of matrix equations. Zbl 1268.15008
Dong, Chang-Zhou; Wang, Qing-Wen; Zhang, Yu-Ping
2012
On the low-rank approximation arising in the generalized Karhunen-Loeve transform. Zbl 1328.94019
Duan, Xue-Feng; Wang, Qing-Wen; Li, Jiao-Fen
2013
The solvability and the exact solution of a system of real quaternion matrix equations. Zbl 1263.15016
Wang, Qing-Wen; Zhang, Xiang
2013
Extending BiCG and BiCR methods to solve the Stein tensor equation. Zbl 1442.65068
Xu, Xiangjian; Wang, Qing-Wen
2019
Douglas’ + Sebestyén’s lemmas = a tool for solving an operator equation problem. Zbl 1440.47033
Cvetković-Ilić, Dragana; Wang, Qing-Wen; Xu, Qingxiang
2020
Numerical algorithms for solving discrete Lyapunov tensor equation. Zbl 1433.65078
Li, Tao; Wang, Qing-Wen; Duan, Xue-Feng
2020
On the snap-through instability of post-buckled FG-CNTRC rectangular plates with integrated piezoelectric layers. Zbl 1439.74169
Keleshteri, M. M.; Asadi, H.; Wang, Q.
2018
On Hayajneh and Kittaneh’s conjecture on unitarily invariant norm. Zbl 1379.15015
Liu, Jun-Tong; Wang, Qing-Wen; Sun, Fang-Fang
2017
Douglas’ + Sebestyén’s lemmas = a tool for solving an operator equation problem. Zbl 1440.47033
Cvetković-Ilić, Dragana; Wang, Qing-Wen; Xu, Qingxiang
2020
Numerical algorithms for solving discrete Lyapunov tensor equation. Zbl 1433.65078
Li, Tao; Wang, Qing-Wen; Duan, Xue-Feng
2020
Arnoldi method for large quaternion right eigenvalue problem. Zbl 1432.65047
Wang, Qing-Wen; Wang, Xiang-Xiang
2020
A modified immersed finite volume element method for elliptic interface problems. Zbl 1451.65174
Wang, Q.; Zhang, Z.
2020
The extreme points of certain polytopes of doubly substochastic matrices. Zbl 1452.15023
Chen, Zhi; Cao, Lei; Wang, Qing-Wen
2020
Weighted pseudo core inverses in rings. Zbl 1459.16037
Zhu, Huihui; Wang, Qing-Wen
2020
Constrained two-sided coupled Sylvester-type quaternion matrix equations. Zbl 1409.15009
Wang, Qing-Wen; He, Zhuo-Heng; Zhang, Yang
2019
A simultaneous decomposition for seven matrices with applications. Zbl 1404.15011
He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang
2019
Iterative algorithms for solving some tensor equations. Zbl 1415.65103
Wang, Qing-Wen; Xu, Xiangjian
2019
Consistency of quaternion matrix equations $$AX^{\star}-XB=C$$ and $$X-AX^\star B=C^{\star}$$. Zbl 1431.15010
Liu, Xin; Wang, Qingwen; Zhang, Yang
2019
Extending BiCG and BiCR methods to solve the Stein tensor equation. Zbl 1442.65068
Xu, Xiangjian; Wang, Qing-Wen
2019
A system of quaternary coupled Sylvester-type real quaternion matrix equations. Zbl 1379.93057
He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang
2018
Cramer’s rule for a system of quaternion matrix equations with applications. Zbl 1427.15019
Song, Guangjing; Wang, Qingwen; Yu, Shaowen
2018
The complete equivalence canonical form of four matrices over an arbitrary division ring. Zbl 1386.15029
He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang
2018
On the solutions of two systems of quaternion matrix equations. Zbl 1405.15022
Farid, Farid O.; Nie, Xiang-Rong; Wang, Qing-Wen
2018
On the snap-through instability of post-buckled FG-CNTRC rectangular plates with integrated piezoelectric layers. Zbl 1439.74169
Keleshteri, M. M.; Asadi, H.; Wang, Q.
2018
The permanent functions of tensors. Zbl 1400.15013
Wang, Qing-Wen; Zhang, Fuzhen
2018
More inequalities for sector matrices. Zbl 1407.15023
Liu, Jun-Tong; Wang, Qing-Wen
2018
The least square solution with the least norm to a system of quaternion matrix equations. Zbl 1397.15011
Wang, Qing-Wen; Yang, Xiao-Xiao; Yuan, Shi-Fang
2018
A system of periodic discrete-time coupled Sylvester quaternion matrix equations. Zbl 1361.15015
He, Zhuoheng; Wang, Qingwen
2017
On Hermitian solutions of the split quaternion matrix equation $$AXB+CXD=E$$. Zbl 1386.15036
Yuan, Shi-Fang; Wang, Qing-Wen; Yu, Yi-Bin; Tian, Yong
2017
Simultaneous decomposition of quaternion matrices involving $$\eta$$-Hermicity with applications. Zbl 1411.15023
He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang
2017
A constraint system of generalized Sylvester quaternion matrix equations. Zbl 1386.15035
2017
A system of matrix equations over the quaternion algebra with applications. Zbl 1375.15027
Nie, Xiangrong; Wang, Qingwen; Zhang, Yang
2017
On Hayajneh and Kittaneh’s conjecture on unitarily invariant norm. Zbl 1379.15015
Liu, Jun-Tong; Wang, Qing-Wen; Sun, Fang-Fang
2017
Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices. Zbl 1332.15006
He, Zhuo-Heng; Agudelo, Oscar Mauricio; Wang, Qing-Wen; De Moor, Bart
2016
Constraint generalized Sylvester matrix equations. Zbl 1338.93174
Wang, Qing-Wen; Rehman, Abdur; He, Zhuo-Heng; Zhang, Yang
2016
The common solution of some matrix equations. Zbl 1348.15012
Wang, Li; Wang, Qingwen; He, Zhuoheng
2016
The consistency and the exact solutions to a system of matrix equations. Zbl 1357.15007
Farid, F. O.; He, Zhuo-Heng; Wang, Qing-Wen
2016
L-structured quaternion matrices and quaternion linear matrix equations. Zbl 1334.65075
Yuan, Shi-Fang; Wang, Qing-Wen
2016
Geometric measure of quantum discord with weak measurements. Zbl 1333.81035
Li, Lei; Wang, Qing-Wen; Shen, Shu-Qian; Li, Ming
2016
The general solutions to some systems of matrix equations. Zbl 1334.15040
He, Zhuo-Heng; Wang, Qing-Wen
2015
Solution to a system of real quaternion matrix equations encompassing $$\eta$$-Hermicity. Zbl 1410.15034
Rehman, Abdur; Wang, Qing-Wen; He, Zhuo-Heng
2015
A system of matrix equations with five variables. Zbl 1410.15033
Rehman, Abdur; Wang, Qing-Wen
2015
The Moore-Penrose inverses of matrices over quaternion polynomial rings. Zbl 1312.15006
Huang, Liji; Wang, Qing-Wen; Zhang, Yang
2015
Systems of coupled generalized Sylvester matrix equations. Zbl 1300.93087
Wang, Qing-Wen; He, Zhuo-Heng
2014
The $$\eta$$-bihermitian solution to a system of real quaternion matrix equations. Zbl 1307.15019
He, Zhuo-Heng; Wang, Qing-Wen
2014
A pair of mixed generalized Sylvester matrix equations. Zbl 1313.15029
He, Zhuoheng; Wang, Qingwen
2014
Positive definite solution of a class of nonlinear matrix equation. Zbl 1302.65099
Duan, Xue-Feng; Wang, Qing-Wen; Li, Chun-Mei
2014
Low rank approximation of the symmetric positive semidefinite matrix. Zbl 1293.65070
Duan, Xuefeng; Li, Jiaofen; Wang, Qingwen; Zhang, Xinjun
2014
On the weighted least-squares, the ordinary least-squares and the best linear unbiased estimators under a restricted growth curve model. Zbl 1297.62053
Song, Guang Jing; Wang, Qing Wen
2014
The minimal positive index of inertia of signed unicyclic graphs. Zbl 1349.05153
Yu, Guihai; Feng, Lihua; Wang, Qingwen; Ilić, Aleksandar
2014
An explicit formula for the generalized cyclic shuffle map. Zbl 1286.19005
Zhang, Jiao; Wang, Qing-Wen
2014
Algorithms for finding the roots of some quadratic octonion equations. Zbl 1305.15042
Wang, Qing-Wen; Zhang, Xiang; Zhang, Yang
2014
(Anti-)Hermitian generalized (anti-)Hamiltonian solution to a system of matrix equations. Zbl 1407.15019
Yu, Juan; Wang, Qing-Wen; Dong, Chang-Zhou
2014
Solvability conditions and general solution for mixed Sylvester equations. Zbl 1364.15011
Wang, Qing-Wen; He, Zhuo-Heng
2013
A real quaternion matrix equation with applications. Zbl 1317.15016
He, Zhuo-Heng; Wang, Qing-Wen
2013
Bicyclic graphs with small positive index of inertia. Zbl 1258.05080
Yu, Guihai; Feng, Lihua; Wang, Qingwen
2013
On solutions of the quaternion matrix equation $$AX=B$$ and their applications in color image restoration. Zbl 1329.15044
Yuan, Shi-Fang; Wang, Qing-Wen; Duan, Xue-Feng
2013
On the generalized bi (skew-) symmetric solutions of a linear matrix equation and its procrust problems. Zbl 1290.15009
Wang, Qing-Wen; Yu, Juan
2013
A system of matrix equations and its applications. Zbl 1291.15043
Wang, QingWen; He, ZhuoHeng
2013
Least-squares problem for the quaternion matrix equation $$AXB+CYD=E$$ over different constrained matrices. Zbl 1278.65049
Yuan, Shi-Fang; Wang, Qing-Wen; Zhang, Xiang
2013
On the matrix equation $$X-\sum^m_{i=1}N^\ast_iX^{-1}N_i=I$$ arising in an interpolation problem. Zbl 1288.15018
Duan, Xuefeng; Wang, Qingwen; Liao, Anping
2013
On the Hermitian structures of the solution to a pair of matrix equations. Zbl 1264.15020
Wang, Qing-Wen; Zhang, Xiang; He, Zhuo-Heng
2013
Equality of the BLUPs under the mixed linear model when random components and errors are correlated. Zbl 1277.62172
Liu, Xin; Wang, Qing-Wen
2013
The equalities of blups for linear combinations under two general linear mixed models. Zbl 1462.62431
Wang, Qing-Wen; Liu, Xin
2013
On the low-rank approximation arising in the generalized Karhunen-Loeve transform. Zbl 1328.94019
Duan, Xue-Feng; Wang, Qing-Wen; Li, Jiao-Fen
2013
The solvability and the exact solution of a system of real quaternion matrix equations. Zbl 1263.15016
Wang, Qing-Wen; Zhang, Xiang
2013
Iterative solution to a system of matrix equations. Zbl 1297.65046
Lin, Yong; Wang, Qing-Wen
2013
Linear parameterized inverse eigenvalue problem of bisymmetric matrices. Zbl 1305.15044
Yuan, Shi-Fang; Wang, Qing-Wen; Xiong, Zhi-Ping
2013
On matrices over an arbitrary semiring and their generalized inverses. Zbl 1283.15016
Farid, F. O.; Khan, Israr Ali; Wang, Qing-Wen
2013
The least-square bisymmetric solution to a quaternion matrix equation with applications. Zbl 1297.15018
Wang, Q.; Yu, G.
2013
An efficient algorithm for the reflexive solution of the quaternion matrix equation $$AXB + CX^HD = F$$. Zbl 1268.65060
Li, Ning; Wang, Qing-Wen; Jiang, Jing
2013
Some matrix equations with applications. Zbl 1262.15014
Wang, Qing-Wen; He, Zhuo-Heng
2012
On the Hermitian solutions to a system of adjointable operator equations. Zbl 1276.47018
Farid, F. O.; Moslehian, M. S.; Wang, Qing-Wen; Wu, Zhong-Cheng
2012
Two special kinds of least squares solutions for the quaternion matrix equation AXB+CXD=E. Zbl 1250.65051
Yuan, Shi-Fang; Wang, Qing-Wen
2012
A new simultaneous decomposition of a matrix quaternity over an arbitrary division ring with applications. Zbl 1252.15014
Wang, Qing-Wen; Zhang, Xia; Van Der Woude, J. W.
2012
Inertias and ranks of some Hermitian matrix functions with applications. Zbl 1253.15050
Zhang, Xiang; Wang, Qing-Wen; Liu, Xin
2012
The common positive solution to adjointable operator equations with an application. Zbl 1264.47021
Dong, Chang-Zhou; Wang, Qing-Wen; Zhang, Yu-Ping
2012
Solutions to optimization problems on ranks and inertias of a matrix function with applications. Zbl 1309.15025
He, Zhuo-Heng; Wang, Qing-Wen
2012
On the Hermitian $$R$$-conjugate solution of a system of matrix equations. Zbl 1268.15008
Dong, Chang-Zhou; Wang, Qing-Wen; Zhang, Yu-Ping
2012
Constrained solutions of a system of matrix equations. Zbl 1268.15015
Wang, Qing-Wen; Yu, Juan
2012
Perturbation analysis for the positive definite solution of the nonlinear matrix equation $$X-\sum_{i=1}^{m}A^{*}_{i}X^{\delta_{i}}A_{i}=Q$$. Zbl 1250.15020
Duan, Xuefeng; Wang, Qingwen; Li, Chunmei
2012
Ranks of the common solution to some quaternion matrix equations with applications. Zbl 1337.15014
Wang, Qing-Wen; Yu, Shao-Wen
2012
Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field. Zbl 1217.15020
Song, Guang-Jing; Wang, Qing-Wen; Chang, Hai-Xia
2011
Condensed Cramer rule for some restricted quaternion linear equations. Zbl 1248.15016
Song, Guang-Jing; Wang, Qing-Wen
2011
An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications. Zbl 1218.15008
Wang, Qingwen; van der Woude, J. W.; Yu, Shaowen
2011
On the eigenvalues of quaternion matrices. Zbl 1237.15016
Farid, F. O.; Wang, Qing-Wen; Zhang, Fuzhen
2011
The common bisymmetric nonnegative definite solutions with extreme ranks and inertias to a pair of matrix equations. Zbl 1267.15017
Wang, Qing-Wen; Liu, Xin; Yu, Shao-Wen
2011
The $$(P,Q)$$-(skew)symmetric extremal rank solutions to a system of quaternion matrix equations. Zbl 1222.15022
Zhang, Qin; Wang, Qing-Wen
2011
The Drazin inverse in an arbitrary semiring. Zbl 1227.15003
Khan, Israr Ali; Wang, Qing-Wen
2011
Ranks of the common solution to six quaternion matrix equations. Zbl 1304.15006
Wang, Qing-Wen; Zhou, Yan; Zhang, Qin
2011
The general solution to a system of adjointable operator equations over Hilbert $$C^{\ast }$$-modules. Zbl 1227.47007
Wang, Qing-Wen; Dong, Chang-Zhou
2011
Positive and re-positive solutions to some systems of adjointable operator equations over Hilbert $$C^\ast$$-modules. Zbl 1264.47022
Song, Guang Jing; Wang, Qing Wen
2011
Extreme ranks of a partial banded block quaternion matrix expression subject to some matrix equations with applications. Zbl 1227.15015
Lian, Dezhong; Wang, Qingwen; Tang, Yan
2011
Ranks of submatrices in a general solution to a quaternion system with applications. Zbl 1229.15017
Zhang, Hua-Sheng; Wang, Qing-Wen
2011
Common Hermitian solutions to some operator equations on Hilbert $$C^{*}$$-modules. Zbl 1197.47031
Wang, Qing-Wen; Wu, Zhong-Cheng
2010
Extreme ranks of (skew-)Hermitian solutions to a quaternion matrix equation. Zbl 1207.15016
Wang, Qing-Wen; Jing, Jiang
2010
Extreme ranks of real matrices in solution of the quaternion matrix equation $$AXB = C$$ with applications. Zbl 1188.15016
Wang, Qingwen; Yu, Shaowen; Xie, Wei
2010
Positive solutions to a system of adjointable operator equations over Hilbert $$C^*$$-modules. Zbl 1214.47015
Wang, Qing-Wen; Dong, Chang-Zhou
2010
($$R,S$$)-conjugate solution to a pair of linear matrix equations. Zbl 1201.15006
Chang, Hai-Xia; Wang, Qing-Wen; Song, Guang-Jing
2010
Minimal ranks of some quaternion matrix expressions with applications. Zbl 1204.15005
Ali Khan, Israr; Wang, Qing-Wen; Song, Guang-Jing
2010
Ranks and the least-norm of the general solution to a system of quaternion matrix equations. Zbl 1158.15010
Wang, Qing-Wen; Li, Cheng-Kun
2009
A system of real quaternion matrix equations with applications. Zbl 1180.15019
Wang, Qing-Wen; van der Woude, J. W.; Chang, Hai-Xia
2009
Maximal and minimal ranks of the common solution of some linear matrix equations over an arbitrary division ring with applications. Zbl 1176.15020
Wang, Qingwen; Song, Guang Jing; Liu, Xin
2009
A new solvable condition for a pair of generalized Sylvester equations. Zbl 1190.15019
Wang, Qing-Wen; Zhang, Hua-Sheng; Song, Guang-Jing
2009
The real solutions to a system of quaternion matrix equations with applications. Zbl 1393.15021
Wang, Qing-Wen; Yu, Shao-Wen; Zhang, Qin
2009
The reflexive re-nonnegative definite solution to a quaternion matrix equation. Zbl 1147.15012
Wang, Qing-Wen; Zhang, Fei
2008
The common solution to six quaternion matrix equations with applications. Zbl 1141.15016
Wang, Qing-Wen; Chang, Hai-Xia; Ning, Qun
2008
$$P$$-(skew)symmetric common solutions to a pair of quaternion matrix equations. Zbl 1149.15011
Wang, Qing-Wen; Chang, Hai-Xia; Lin, Chun-Yan
2008
...and 25 more Documents
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#### Cited by 363 Authors

 82 Wang, Qingwen 31 Hajarian, Masoud 30 He, ZhuoHeng 23 Song, Guangjing 22 Kyrchei, Ivan I. 20 Ma, Changfeng 18 Dehghan Takht Fooladi, Mehdi 15 Yu, Shaowen 13 Yuan, Shifang 10 Zhang, Yang 9 Chang, Haixia 9 Song, Caiqin 8 Lin, Chunyan 7 Chen, Guoliang 7 Dong, Changzhou 7 Wang, Hongxing 7 Yu, Guihai 6 Liao, Anping 6 Liu, Xin 6 Rehman, Abdur 6 Zhao, Jianli 5 Huang, Guang-Xin 5 Moslehian, Mohammad Sal 5 Peng, Zhuohua 5 Qu, Hui 5 Yin, Feng 5 Yu, Juan 4 Fang, Xiaochun 4 Farid, Farid O. 4 Huang, Baohua 4 Huang, Na 4 Li, Ning 4 Li, Ying 4 Liu, Xifu 4 Lv, Lingling 4 Ramadan, Mohamed Abdel-Latif 4 Stanimirović, Predrag S. 4 Tian, Fenglei 4 Wong, Dein 4 Xie, Yajun 4 Xu, Qingxiang 4 Zhang, Fengxia 3 Akram, Muhammad 3 Ali, Ilyas 3 Bayoumi, Ahmed M. E. 3 Beik, Fatemeh Panjeh Ali 3 Cvetković-Ilić, Dragana S. 3 Duan, Xuefeng 3 Gil’, Michael Iosif 3 Jiang, Jing 3 Ling, Sitao 3 Mosić, Dijana 3 Sheng, Xingping 3 Shi, Yongtang 3 Shirilord, Akbar 3 Van der Woude, Jacob Willem 3 Wang, Xiangxiang 3 Wang, Xiaodong 3 Wei, Musheng 3 Wu, Zhongcheng 3 Xu, Weiru 3 Zhang, Huamin 3 Zhang, Lei 3 Zhang, Yuping 3 Zhang, Zhe 2 Al-Dubiban, Asmaa M. 2 Ali Khan, Israr 2 Bai, Jianchao 2 Bose, Snehasish 2 Chen, Ming 2 Cheng, Dong 2 Dai, Lifang 2 Dai, Pingfan 2 Dehghani-Madiseh, Marzieh 2 Dehmer, Matthias 2 Ebadi, Ghodrat 2 Erdoğdu, Melek 2 Eskandari, Rasoul 2 Fan, Yizheng 2 Fang, Liang 2 Feng, Jun’e 2 Feng, Lianggui 2 Feng, Lihua 2 Guo, Ke 2 Hasanov, Vejdi Ismailov 2 Haslett, Stephen J. 2 He, Changxiang 2 Hossein, Sk. Monowar 2 Hu, Jingjing 2 Hu, Xiyan 2 Jia, Zhigang 2 Ke, Yifen 2 Khojasteh Salkuyeh, Davod 2 Li, Jicheng 2 Li, Jing 2 Li, Shuai 2 Liang, Maolin 2 Lin, Yong 2 Liu, Sanyang 2 Ma, Xiaobin ...and 263 more Authors
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#### Cited in 94 Serials

 55 Applied Mathematics and Computation 28 Computers & Mathematics with Applications 28 Linear and Multilinear Algebra 28 Linear Algebra and its Applications 23 Advances in Applied Clifford Algebras 19 Journal of the Franklin Institute 17 Journal of Applied Mathematics and Computing 15 Journal of Applied Mathematics 13 Algebra Colloquium 13 Abstract and Applied Analysis 9 Journal of Computational and Applied Mathematics 8 Computational and Applied Mathematics 6 Numerical Algorithms 6 ELA. The Electronic Journal of Linear Algebra 6 Mathematical Problems in Engineering 5 Applied Mathematical Modelling 4 Automatica 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Asian Journal of Control 3 Bulletin of the Iranian Mathematical Society 3 Applied Numerical Mathematics 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Statistical Papers 3 Journal of Inequalities and Applications 3 Journal of Shanghai University 3 Journal of Applied Analysis and Computation 3 Journal of Mathematics 2 Communications in Algebra 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Rocky Mountain Journal of Mathematics 2 Bulletin of the Korean Mathematical Society 2 International Journal of Computer Mathematics 2 Journal of the Egyptian Mathematical Society 2 Journal of Vibration and Control 2 Qualitative Theory of Dynamical Systems 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 JP Journal of Algebra, Number Theory and Applications 2 Quantum Information Processing 2 Mediterranean Journal of Mathematics 2 Banach Journal of Mathematical Analysis 2 Science China. Mathematics 1 Discrete Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Metrika 1 Journal of Geometry and Physics 1 Archiv der Mathematik 1 Calcolo 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Multivariate Analysis 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Semigroup Forum 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Graphs and Combinatorics 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 Neural Networks 1 Journal of Global Optimization 1 Computational Mathematics and Mathematical Physics 1 SIAM Review 1 Journal of Mathematical Sciences (New York) 1 Complexity 1 Positivity 1 Taiwanese Journal of Mathematics 1 Mathematical Inequalities & Applications 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Mechanism and Machine Theory 1 Acta Mathematica Sinica. English Series 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Journal of Algebra and its Applications 1 Analysis and Applications (Singapore) 1 Journal of Industrial and Management Optimization 1 Complex Variables and Elliptic Equations 1 Frontiers of Mathematics in China 1 Journal of Noncommutative Geometry 1 Operators and Matrices 1 Tbilisi Mathematical Journal 1 Discrete Mathematics, Algorithms and Applications 1 International Journal of Nonlinear Analysis and Applications 1 Annals of Functional Analysis 1 ISRN Computational Mathematics 1 International Journal of Applied and Computational Mathematics 1 Open Mathematics 1 Advances in Operator Theory
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#### Cited in 35 Fields

 340 Linear and multilinear algebra; matrix theory (15-XX) 140 Numerical analysis (65-XX) 23 Operator theory (47-XX) 23 Systems theory; control (93-XX) 22 Combinatorics (05-XX) 13 Functional analysis (46-XX) 12 Associative rings and algebras (16-XX) 9 Number theory (11-XX) 9 Statistics (62-XX) 7 Operations research, mathematical programming (90-XX) 5 Ordinary differential equations (34-XX) 4 Difference and functional equations (39-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Field theory and polynomials (12-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 3 Biology and other natural sciences (92-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 $$K$$-theory (19-XX) 2 Group theory and generalizations (20-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX)