Zeng, Wenlong; Liu, Jianzhou; Wang, Juan Some lower bounds with a parameter for the minimum eigenvalue of Hadamard product of \(M\)-matrices and inverse \(M\)-matrices. (English) Zbl 1506.15012 Bull. Iran. Math. Soc. 48, No. 6, 3947-3970 (2022). MSC: 15A18 15A42 15A09 PDFBibTeX XMLCite \textit{W. Zeng} et al., Bull. Iran. Math. Soc. 48, No. 6, 3947--3970 (2022; Zbl 1506.15012) Full Text: DOI
Zhou, Lixin; Lyu, Zhen-Hua; Liu, Jianzhou The Schur complement of \(\gamma\)-dominant matrices. (English) Zbl 1506.15021 Bull. Iran. Math. Soc. 48, No. 6, 3701-3725 (2022). MSC: 15A45 15A18 65F05 PDFBibTeX XMLCite \textit{L. Zhou} et al., Bull. Iran. Math. Soc. 48, No. 6, 3701--3725 (2022; Zbl 1506.15021) Full Text: DOI
Liu, Jianzhou; Wang, Zheng; Xie, Zhiming; Wang, Li Iterative algorithms for reducing inversion of discrete algebraic Riccati matrix equation. (English) Zbl 1510.65081 IMA J. Math. Control Inf. 39, No. 4, 985-1007 (2022). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{J. Liu} et al., IMA J. Math. Control Inf. 39, No. 4, 985--1007 (2022; Zbl 1510.65081) Full Text: DOI
Zeng, Wenlong; Liu, Jianzhou A lower bound sequence for the minimum eigenvalue of Hadamard product of an \(M\)-matrix and its inverse. (English) Zbl 07584094 Czech. Math. J. 72, No. 3, 663-679 (2022). MSC: 15A18 15A42 PDFBibTeX XMLCite \textit{W. Zeng} and \textit{J. Liu}, Czech. Math. J. 72, No. 3, 663--679 (2022; Zbl 07584094) Full Text: DOI
Zeng, Wenlong; Liu, Jianzhou Lower bound estimation of the minimum eigenvalue of Hadamard product of an \(M\)-matrix and its inverse. (English) Zbl 1492.15009 Bull. Iran. Math. Soc. 48, No. 3, 1075-1091 (2022). MSC: 15A18 15A42 15A09 15B51 PDFBibTeX XMLCite \textit{W. Zeng} and \textit{J. Liu}, Bull. Iran. Math. Soc. 48, No. 3, 1075--1091 (2022; Zbl 1492.15009) Full Text: DOI
Xiong, Yebo; Liu, Jianzhou Norm estimates for the inverses of strictly diagonally dominant \(M\)-matrices and linear complementarity problems. (English) Zbl 1478.15030 East Asian J. Appl. Math. 11, No. 3, 487-514 (2021). MSC: 15A45 15A09 15A60 PDFBibTeX XMLCite \textit{Y. Xiong} and \textit{J. Liu}, East Asian J. Appl. Math. 11, No. 3, 487--514 (2021; Zbl 1478.15030) Full Text: DOI
Liu, Jianzhou; Zhou, Lixin Extended irreducible Nekrasov matrices as subclasses of irreducible \(H\)-matrices. (English) Zbl 1477.15017 Bull. Iran. Math. Soc. 47, No. 5, 1629-1640 (2021). MSC: 15A45 65F05 65F10 PDFBibTeX XMLCite \textit{J. Liu} and \textit{L. Zhou}, Bull. Iran. Math. Soc. 47, No. 5, 1629--1640 (2021; Zbl 1477.15017) Full Text: DOI
Lyu, Zhen-Hua; Zhou, Lixin; Liu, Jianzhou A generalization of \(S\)-Nekrasov matrices. (English) Zbl 1476.15037 J. Math. Inequal. 15, No. 3, 1093-1100 (2021). MSC: 15A45 15B48 65F05 65G50 PDFBibTeX XMLCite \textit{Z.-H. Lyu} et al., J. Math. Inequal. 15, No. 3, 1093--1100 (2021; Zbl 1476.15037) Full Text: DOI
Yang, Zhao; Huang, Rong; Zhu, Wei; Liu, Jianzhou Accurate solutions of structured generalized Kronecker product linear systems. (English) Zbl 1469.65069 Numer. Algorithms 87, No. 2, 797-818 (2021). MSC: 65F05 15A06 PDFBibTeX XMLCite \textit{Z. Yang} et al., Numer. Algorithms 87, No. 2, 797--818 (2021; Zbl 1469.65069) Full Text: DOI
Liu, Jianzhou; Xiong, Yebo; Liu, Yun The closure property of the Schur complement for Nekrasove matrices and its applications in solving large linear systems with Schur-based method. (English) Zbl 1476.15003 Comput. Appl. Math. 39, No. 4, Paper No. 290, 19 p. (2020). MSC: 15A06 15B99 65F10 PDFBibTeX XMLCite \textit{J. Liu} et al., Comput. Appl. Math. 39, No. 4, Paper No. 290, 19 p. (2020; Zbl 1476.15003) Full Text: DOI
Xiong, Liang; Liu, Jianzhou Further results for \(Z\)-eigenvalue localization theorem for higher-order tensors and their applications. (English) Zbl 1464.15032 Acta Appl. Math. 170, 229-264 (2020). MSC: 15A45 15A18 15A69 PDFBibTeX XMLCite \textit{L. Xiong} and \textit{J. Liu}, Acta Appl. Math. 170, 229--264 (2020; Zbl 1464.15032) Full Text: DOI
Xiong, Liang; Liu, Jianzhou A new \(C\)-eigenvalue localisation set for piezoelectric-type tensors. (English) Zbl 1464.15019 East Asian J. Appl. Math. 10, No. 1, 123-134 (2020). MSC: 15A18 15A69 15A21 65F15 PDFBibTeX XMLCite \textit{L. Xiong} and \textit{J. Liu}, East Asian J. Appl. Math. 10, No. 1, 123--134 (2020; Zbl 1464.15019) Full Text: DOI
Liu, Jianzhou; Xiong, Liang Exponential type locally generalized strictly double diagonally tensors and eigenvalue localization. (English) Zbl 1454.15018 J. Math. Inequal. 14, No. 3, 611-629 (2020). MSC: 15A69 15A18 15A21 PDFBibTeX XMLCite \textit{J. Liu} and \textit{L. Xiong}, J. Math. Inequal. 14, No. 3, 611--629 (2020; Zbl 1454.15018) Full Text: DOI
Xiong, Liang; Liu, Jianzhou \(Z\)-eigenvalue inclusion theorem of tensors and the geometric measure of entanglement of multipartite pure states. (English) Zbl 1449.15026 Comput. Appl. Math. 39, No. 2, Paper No. 135, 11 p. (2020). MSC: 15A18 15A69 15A21 PDFBibTeX XMLCite \textit{L. Xiong} and \textit{J. Liu}, Comput. Appl. Math. 39, No. 2, Paper No. 135, 11 p. (2020; Zbl 1449.15026) Full Text: DOI
Liu, Jianzhou; Wang, Li; Bai, Ying New estimates of upper bounds for the solutions of the continuous algebraic Riccati equation and the redundant control inputs problems. (English) Zbl 1440.93051 Automatica 116, Article ID 108936, 6 p. (2020). MSC: 93B25 15A42 49J99 PDFBibTeX XMLCite \textit{J. Liu} et al., Automatica 116, Article ID 108936, 6 p. (2020; Zbl 1440.93051) Full Text: DOI
Liu, Jianzhou; Zhang, Juan; Luo, Fangfang Newton’s method for the positive solution of the coupled algebraic Riccati equation applied to automatic control. (English) Zbl 1463.65092 Comput. Appl. Math. 39, No. 2, Paper No. 113, 17 p. (2020). MSC: 65F45 15A24 93E20 PDFBibTeX XMLCite \textit{J. Liu} et al., Comput. Appl. Math. 39, No. 2, Paper No. 113, 17 p. (2020; Zbl 1463.65092) Full Text: DOI
Liu, Jianzhou; Zhang, Juan; Huang, Hao The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time-varying nonlinear system. (English) Zbl 1499.34438 J. Inequal. Appl. 2019, Paper No. 172, 18 p. (2019). MSC: 34L15 15A18 34A40 34H05 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Inequal. Appl. 2019, Paper No. 172, 18 p. (2019; Zbl 1499.34438) Full Text: DOI
Zhang, Juan; Liu, Jianzhou The matrix bounds and fixed-point iteration for the solution of the discrete algebraic Riccati equation. (English) Zbl 1478.15025 IMA J. Math. Control Inf. 36, No. 2, 681-699 (2019). MSC: 15A42 15A18 34A30 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Liu}, IMA J. Math. Control Inf. 36, No. 2, 681--699 (2019; Zbl 1478.15025) Full Text: DOI
Liu, Jianzhou; Zhang, Juan; Zhou, Lixin; Tu, Gen The Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices and its applications. (English) Zbl 1426.15060 Appl. Math. Comput. 320, 251-263 (2018). MSC: 15B57 15A45 15B48 PDFBibTeX XMLCite \textit{J. Liu} et al., Appl. Math. Comput. 320, 251--263 (2018; Zbl 1426.15060) Full Text: DOI
Li, Guangqi; Liu, Jianzhou; Zhang, Juan The disc theorem for the Schur complement of two class submatrices with \(\gamma\)-diagonally dominant properties. (English) Zbl 1389.15040 Numer. Math., Theory Methods Appl. 10, No. 1, 84-97 (2017). MSC: 15A42 15A18 15B57 65F15 PDFBibTeX XMLCite \textit{G. Li} et al., Numer. Math., Theory Methods Appl. 10, No. 1, 84--97 (2017; Zbl 1389.15040) Full Text: DOI Link
Zhou, Lixin; Liu, Jianzhou; Zhu, Li The closure property of \(\mathcal{H}\)-tensors under the Hadamard product. (English) Zbl 1375.15039 J. Inequal. Appl. 2017, Paper No. 231, 15 p. (2017). MSC: 15A69 15A42 PDFBibTeX XMLCite \textit{L. Zhou} et al., J. Inequal. Appl. 2017, Paper No. 231, 15 p. (2017; Zbl 1375.15039) Full Text: DOI
Su, An Bing; Liu, Jian Zhou; Ding, Bi Wen New criteria for generalized Nekrasov matrices. (Chinese. English summary) Zbl 1503.15058 Math. Theory Appl. 36, No. 4, 1-7 (2016). MSC: 15B99 PDFBibTeX XMLCite \textit{A. B. Su} et al., Math. Theory Appl. 36, No. 4, 1--7 (2016; Zbl 1503.15058)
Guo, Aili; Liu, Jianzhou The new criteria for generalized Nekrasov matrices. (Chinese. English summary) Zbl 1363.15054 Math. Pract. Theory 46, No. 5, 239-245 (2016). MSC: 15B57 PDFBibTeX XMLCite \textit{A. Guo} and \textit{J. Liu}, Math. Pract. Theory 46, No. 5, 239--245 (2016; Zbl 1363.15054)
Liu, Jianzhou; Wang, Leilei; Lyu, Zhenhua Several criteria for judging \(H\)- and non-\(H\)-matrices. (English) Zbl 1384.15010 Int. J. Comput. Math. 93, No. 3, 559-566 (2016). Reviewer: Omar Hirzallah (Zarqa) MSC: 15B57 15A45 65F05 65G50 PDFBibTeX XMLCite \textit{J. Liu} et al., Int. J. Comput. Math. 93, No. 3, 559--566 (2016; Zbl 1384.15010) Full Text: DOI
Zhang, Juan; Liu, Jianzhou New upper and lower bounds, the iteration algorithm for the solution of the discrete algebraic Riccati equation. (English) Zbl 1422.15005 Adv. Difference Equ. 2015, Paper No. 313, 17 p. (2015). MSC: 15A24 39A60 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Liu}, Adv. Difference Equ. 2015, Paper No. 313, 17 p. (2015; Zbl 1422.15005) Full Text: DOI
Kuang, Qiaoying; Xue, Yuan; Liu, Jianzhou \(\gamma\)-diagonally dominant matrices and some criteria for \(H\)-matrices. (Chinese. English summary) Zbl 1349.15096 Numer. Math., Nanjing 37, No. 3, 253-262 (2015). MSC: 15B57 65F10 PDFBibTeX XMLCite \textit{Q. Kuang} et al., Numer. Math., Nanjing 37, No. 3, 253--262 (2015; Zbl 1349.15096)
Wang, Leilei; Huang, Hao; Li, Quanbing; Liu, Jianzhou A type of new criteria for judging nonsingular \(H\)-matrices. (Chinese. English summary) Zbl 1349.15098 J. Math., Wuhan Univ. 35, No. 6, 1504-1510 (2015). MSC: 15B57 65F10 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Math., Wuhan Univ. 35, No. 6, 1504--1510 (2015; Zbl 1349.15098)
Xue, Yuan; Liu, Jianzhou A set of new criterion for judging nonsingular \(H\)-matrices. (Chinese. English summary) Zbl 1349.15101 Chin. J. Eng. Math. 32, No. 5, 709-718 (2015). MSC: 15B57 65F10 PDFBibTeX XMLCite \textit{Y. Xue} and \textit{J. Liu}, Chin. J. Eng. Math. 32, No. 5, 709--718 (2015; Zbl 1349.15101) Full Text: DOI
Wang, Leilei; Xue, Yuan; Liu, Jianzhou A set of new criteria for judging nonsingular \(H\)-matrices. (Chinese. English summary) Zbl 1340.15034 Chin. J. Eng. Math. 32, No. 2, 251-260 (2015). MSC: 15B57 65F10 PDFBibTeX XMLCite \textit{L. Wang} et al., Chin. J. Eng. Math. 32, No. 2, 251--260 (2015; Zbl 1340.15034) Full Text: DOI
Wang, Leilei; Liu, Jianzhou; Chu, Shan Properties for the Perron complement of three known subclasses of \(H\)-matrices. (English) Zbl 1310.15066 J. Inequal. Appl. 2015, Paper No. 9, 10 p. (2015). MSC: 15B48 65F10 15A18 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Inequal. Appl. 2015, Paper No. 9, 10 p. (2015; Zbl 1310.15066) Full Text: DOI
Wang, Leilei; Xi, Boyan; Liu, Jianzhou Several sufficient conditions for judging nonsingular \(H\)-matrices. (Chinese. English summary) Zbl 1313.15057 Appl. Math., Ser. A (Chin. Ed.) 29, No. 1, 55-62 (2014). MSC: 15B57 65F10 PDFBibTeX XMLCite \textit{L. Wang} et al., Appl. Math., Ser. A (Chin. Ed.) 29, No. 1, 55--62 (2014; Zbl 1313.15057)
Huang, Rong; Liu, Jianzhou; Zhu, Li Accurate solutions of diagonally dominant tridiagonal linear systems. (English) Zbl 1310.65032 BIT 54, No. 3, 711-727 (2014). Reviewer: Drahoslava Janovská (Praha) MSC: 65F05 15A23 65F35 65G50 PDFBibTeX XMLCite \textit{R. Huang} et al., BIT 54, No. 3, 711--727 (2014; Zbl 1310.65032) Full Text: DOI
Ding, Biwen; Liu, Jianzhou Criteria for H-matrices and their iterative algorithms. (Chinese. English summary) Zbl 1299.65046 Acta Math. Appl. Sin. 36, No. 5, 935-948 (2013). MSC: 65F10 15B57 PDFBibTeX XMLCite \textit{B. Ding} and \textit{J. Liu}, Acta Math. Appl. Sin. 36, No. 5, 935--948 (2013; Zbl 1299.65046)
Guo, Aili; Liu, Jianzhou The sufficient conditions for generalized Nekrasov matrices. (Chinese. English summary) Zbl 1289.15055 Math. Pract. Theory 43, No. 3, 189-195 (2013). MSC: 15B57 PDFBibTeX XMLCite \textit{A. Guo} and \textit{J. Liu}, Math. Pract. Theory 43, No. 3, 189--195 (2013; Zbl 1289.15055)
Huang, Rong; Liu, Jianzhou; Zhu, Li; Pan, Jinsong The Bunch-Kaufman factorization of symmetric matrices signature similar to sign regular matrices. (English) Zbl 1305.65112 Linear Algebra Appl. 439, No. 5, 1458-1467 (2013). MSC: 65F05 15A18 65F35 PDFBibTeX XMLCite \textit{R. Huang} et al., Linear Algebra Appl. 439, No. 5, 1458--1467 (2013; Zbl 1305.65112) Full Text: DOI
Zhang, Juan; Liu, Jianzhou; Tu, Gen The improved disc theorems for the Schur complements of diagonally dominant matrices. (English) Zbl 1279.15016 J. Inequal. Appl. 2013, Paper No. 2, 16 p. (2013). MSC: 15A45 15B48 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Inequal. Appl. 2013, Paper No. 2, 16 p. (2013; Zbl 1279.15016) Full Text: DOI
Liu, Yu; Ma, Yanbo; Liu, Jianzhou; Zhang, Chaoquan Extension of Nekrasov matrix. (Chinese. English summary) Zbl 1265.15057 J. Northwest Norm. Univ., Nat. Sci. 48, No. 3, 18-23 (2012). MSC: 15B57 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Northwest Norm. Univ., Nat. Sci. 48, No. 3, 18--23 (2012; Zbl 1265.15057)
Wang, Jie; Liu, Jianzhou; Huang, Zejun New progressive criteria for nonsingular \(H\)-matrices. (Chinese. English summary) Zbl 1265.15052 Chin. J. Eng. Math. 29, No. 3, 405-412 (2012). MSC: 15B48 PDFBibTeX XMLCite \textit{J. Wang} et al., Chin. J. Eng. Math. 29, No. 3, 405--412 (2012; Zbl 1265.15052)
Zhang, Juan; Liu, Jianzhou New matrix bounds, an existence uniqueness and a fixed-point iterative algorithm for the solution of the unified coupled algebraic Riccati equation. (English) Zbl 1255.15011 Int. J. Comput. Math. 89, No. 4, 527-542 (2012). MSC: 15A18 15A24 15A42 93B05 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Liu}, Int. J. Comput. Math. 89, No. 4, 527--542 (2012; Zbl 1255.15011) Full Text: DOI
Liu, Jianzhou; Zhang, Juan; Liu, Yu The Schur complement of strictly doubly diagonally dominant matrices and its application. (English) Zbl 1248.15018 Linear Algebra Appl. 437, No. 1, 168-183 (2012). Reviewer: Tin Yau Tam (Auburn) MSC: 15A42 15A45 15B48 65F10 15A60 PDFBibTeX XMLCite \textit{J. Liu} et al., Linear Algebra Appl. 437, No. 1, 168--183 (2012; Zbl 1248.15018) Full Text: DOI
Huang, Rong; Liu, Jianzhou; Zhu, Li Nonsingular almost strictly sign regular matrices. (English) Zbl 1246.15032 Linear Algebra Appl. 436, No. 11, 4179-4192 (2012). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15B35 15A45 15B48 15A15 PDFBibTeX XMLCite \textit{R. Huang} et al., Linear Algebra Appl. 436, No. 11, 4179--4192 (2012; Zbl 1246.15032) Full Text: DOI
Liang, Kaifu; Liu, Jianzhou Iterative algorithms for the minimum-norm solution and the least-squares solution of the linear matrix equations \(A_1XB_1 + C_1X^TD_1 = M_1, A_2XB_2 + C_2 X^TD_2 = M_2\). (English) Zbl 1250.65059 Appl. Math. Comput. 218, No. 7, 3166-3175 (2011). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 65F20 15A24 65F10 PDFBibTeX XMLCite \textit{K. Liang} and \textit{J. Liu}, Appl. Math. Comput. 218, No. 7, 3166--3175 (2011; Zbl 1250.65059) Full Text: DOI
Liang, Kaifu; Liu, Jianzhou The least squares symmetric-skew symmetric solution of the generalized coupled Sylvester matrix equations. (Chinese. English summary) Zbl 1245.65052 Math. Appl. 24, No. 4, 746-753 (2011). MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{K. Liang} and \textit{J. Liu}, Math. Appl. 24, No. 4, 746--753 (2011; Zbl 1245.65052)
Liu, Jianzhou; Zhang, Juan; Liu, Yu New solution bounds for the continuous algebraic Riccati equation. (English) Zbl 1259.15021 J. Franklin Inst. 348, No. 8, 2128-2141 (2011). Reviewer: Jaroslav Zemánek (Warszawa) MSC: 15A24 15A18 15A42 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Franklin Inst. 348, No. 8, 2128--2141 (2011; Zbl 1259.15021) Full Text: DOI
Liu, Jianzhou; Huang, Zhuohong; Zhu, Li; Huang, Zejun Theorems on Schur complement of block diagonally dominant matrices and their application in reducing the order for the solution of large scale linear systems. (English) Zbl 1231.15017 Linear Algebra Appl. 435, No. 12, 3085-3100 (2011). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 15A45 65F10 PDFBibTeX XMLCite \textit{J. Liu} et al., Linear Algebra Appl. 435, No. 12, 3085--3100 (2011; Zbl 1231.15017) Full Text: DOI
Zhang, Juan; Liu, Jianzhou New lower solution bounds for the continuous algebraic Riccati equation. (English) Zbl 1223.15021 Electron. J. Linear Algebra 22, 191-202 (2011). MSC: 15A24 15A18 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Liu}, Electron. J. Linear Algebra 22, 191--202 (2011; Zbl 1223.15021) Full Text: EuDML EMIS
Huang, Rong; Liu, Jianzhou; Zhu, Li A structural characterization of real \(k\)-potent matrices. (English) Zbl 1237.15029 Linear Multilinear Algebra 59, No. 4, 433-439 (2011). Reviewer: Tin Yau Tam (Auburn) MSC: 15B48 15A42 15A18 15B35 PDFBibTeX XMLCite \textit{R. Huang} et al., Linear Multilinear Algebra 59, No. 4, 433--439 (2011; Zbl 1237.15029) Full Text: DOI
Huang, Rong; Liu, Jianzhou On zero-pattern invariant properties of structured matrices. (English) Zbl 1225.15028 Linear Algebra Appl. 435, No. 4, 871-883 (2011). Reviewer: Ludwig Kohaupt (Berlin) MSC: 15B35 15A18 15A42 15B05 15B57 PDFBibTeX XMLCite \textit{R. Huang} and \textit{J. Liu}, Linear Algebra Appl. 435, No. 4, 871--883 (2011; Zbl 1225.15028) Full Text: DOI
Huang, Rong; Liu, Jianzhou Bidiagonal factorizations with some parameters equal to zero. (English) Zbl 1208.15011 Linear Algebra Appl. 434, No. 3, 730-740 (2011). Reviewer: Edgar Pereira (Covilha) MSC: 15A23 15A18 15A42 PDFBibTeX XMLCite \textit{R. Huang} and \textit{J. Liu}, Linear Algebra Appl. 434, No. 3, 730--740 (2011; Zbl 1208.15011) Full Text: DOI
Liu, Jianzhou; Huang, Rong Generalized Schur complements of matrices and compound matrices. (English) Zbl 1207.15040 Electron. J. Linear Algebra 21, 12-24 (2010). MSC: 15B57 15B48 15A42 PDFBibTeX XMLCite \textit{J. Liu} and \textit{R. Huang}, Electron. J. Linear Algebra 21, 12--24 (2010; Zbl 1207.15040) Full Text: DOI EuDML EMIS
Liu, Jianzhou; Zhang, Juan; Liu, Yu A new upper bound for the eigenvalues of the continuous algebraic Riccati equation. (English) Zbl 1207.15015 Electron. J. Linear Algebra 20, 314-321 (2010). MSC: 15A24 15A42 15A15 PDFBibTeX XMLCite \textit{J. Liu} et al., Electron. J. Linear Algebra 20, 314--321 (2010; Zbl 1207.15015) Full Text: DOI EuDML EMIS
Zhang, Juan; Liu, Jianzhou Matrix bounds for the solution of the continuous algebraic Riccati equation. (English) Zbl 1210.15016 Math. Probl. Eng. 2010, Article ID 819064, 15 p. (2010). MSC: 15A24 15A45 65F30 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Liu}, Math. Probl. Eng. 2010, Article ID 819064, 15 p. (2010; Zbl 1210.15016) Full Text: DOI EuDML
Huang, Rong; Liu, Jianzhou; Sze, Nung-Sing Characterizations of inverse \(M\)-matrices with special zero patterns. (English) Zbl 1195.15037 Linear Algebra Appl. 433, No. 5, 994-1000 (2010). Reviewer: Grozio Stanilov (Sofia) MSC: 15B57 15A09 15A18 15A42 15B48 15B35 PDFBibTeX XMLCite \textit{R. Huang} et al., Linear Algebra Appl. 433, No. 5, 994--1000 (2010; Zbl 1195.15037) Full Text: DOI
Huang, Rong; Liu, Jianzhou On Schur complements of sign regular matrices of order \(k\). (English) Zbl 1217.15041 Linear Algebra Appl. 433, No. 1, 143-148 (2010). MSC: 15B48 15A42 PDFBibTeX XMLCite \textit{R. Huang} and \textit{J. Liu}, Linear Algebra Appl. 433, No. 1, 143--148 (2010; Zbl 1217.15041) Full Text: DOI
Zhang, Juan; Liu, Jianzhou New estimates for the solution of the Lyapunov matrix differential equation. (English) Zbl 1217.93135 Electron. J. Linear Algebra 20, 6-19 (2010). MSC: 93D05 15A24 93C15 34H05 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Liu}, Electron. J. Linear Algebra 20, 6--19 (2010; Zbl 1217.93135) Full Text: EuDML EMIS
Huang, Zhuohong; Liu, Jianzhou Bounds for the inverses of diagonally dominant pentadiagonal matrices. (English) Zbl 1188.15004 Appl. Math. E-Notes 10, 11-18 (2010). Reviewer: K. C. Sivakumar (Chennai) MSC: 15A09 PDFBibTeX XMLCite \textit{Z. Huang} and \textit{J. Liu}, Appl. Math. E-Notes 10, 11--18 (2010; Zbl 1188.15004) Full Text: EuDML EMIS
Liu, Jianzhou; Huang, Zejun; Zhang, Juan The dominant degree and disc theorem for the Schur complement of matrix. (English) Zbl 1189.15023 Appl. Math. Comput. 215, No. 12, 4055-4066 (2010). Reviewer: Grozio Stanilov (Sofia) MSC: 15A42 PDFBibTeX XMLCite \textit{J. Liu} et al., Appl. Math. Comput. 215, No. 12, 4055--4066 (2010; Zbl 1189.15023) Full Text: DOI
Liu, Jianzhou; Zhang, Fuzhen Criteria and Schur complements of \(H\)-matrices. (English) Zbl 1188.15026 J. Appl. Math. Comput. 32, No. 1, 119-133 (2010). Reviewer: Rabe von Randow (Bonn) MSC: 15B48 15A45 PDFBibTeX XMLCite \textit{J. Liu} and \textit{F. Zhang}, J. Appl. Math. Comput. 32, No. 1, 119--133 (2010; Zbl 1188.15026) Full Text: DOI
Liu, Jianzhou; Huang, Zejun The Schur complements of \(\gamma\)-diagonally and product \(\gamma\)-diagonally dominant matrix and their disc separation. (English) Zbl 1186.15016 Linear Algebra Appl. 432, No. 4, 1090-1104 (2010). Reviewer: Fozi Dannan (Damascus) MSC: 15A42 15B48 65F10 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Z. Huang}, Linear Algebra Appl. 432, No. 4, 1090--1104 (2010; Zbl 1186.15016) Full Text: DOI
Guo, Aili; Liu, Jianzhou Criteria for generalized Nekrasov matrices. (Chinese. English summary) Zbl 1212.15067 Chin. J. Eng. Math. 26, No. 4, 697-702 (2009). MSC: 15B57 PDFBibTeX XMLCite \textit{A. Guo} and \textit{J. Liu}, Chin. J. Eng. Math. 26, No. 4, 697--702 (2009; Zbl 1212.15067)
Liu, Jianzhou; Zhang, Juan; Liu, Yu Trace inequalities for matrix products and trace bounds for the solution of the algebraic Riccati equations. (English) Zbl 1187.15023 J. Inequal. Appl. 2009, Article ID 101085, 17 p. (2009). MSC: 15A45 15A15 15A24 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Inequal. Appl. 2009, Article ID 101085, 17 p. (2009; Zbl 1187.15023) Full Text: DOI EuDML
Zhang, Yuelang; Mo, Hongmin; Liu, Jianzhou \(\alpha\)-diagonally dominant and criteria for generalized strictly diagonally dominant matrices. (Chinese. English summary) Zbl 1199.15097 Numer. Math., Nanjing 31, No. 2, 119-128 (2009). MSC: 15B48 65F10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Numer. Math., Nanjing 31, No. 2, 119--128 (2009; Zbl 1199.15097)
Liu, Jianzhou; Zhang, Juan New trace bounds for the product of two matrices and their applications in the algebraic Riccati equation. (English) Zbl 1176.15030 J. Inequal. Appl. 2009, Article ID 620758, 18 p. (2009). MSC: 15A45 15A15 15A24 PDFBibTeX XMLCite \textit{J. Liu} and \textit{J. Zhang}, J. Inequal. Appl. 2009, Article ID 620758, 18 p. (2009; Zbl 1176.15030) Full Text: DOI EuDML
Liu, Jianzhou; He, Lingli Authors’ reply to: “Comments on: ‘A new trace bound for a general square matrix product”’. (English) Zbl 1367.15013 IEEE Trans. Autom. Control 53, No. 11, 2713 (2008). MSC: 15A18 15A45 PDFBibTeX XMLCite \textit{J. Liu} and \textit{L. He}, IEEE Trans. Autom. Control 53, No. 11, 2713 (2008; Zbl 1367.15013) Full Text: DOI
He, Anqi; Liu, Jianzhou Criteria for generalized strictly diagonally dominant matrices. (Chinese. English summary) Zbl 1199.65103 Chin. J. Eng. Math. 25, No. 6, 1121-1124 (2008). MSC: 65F10 65F15 15B48 PDFBibTeX XMLCite \textit{A. He} and \textit{J. Liu}, Chin. J. Eng. Math. 25, No. 6, 1121--1124 (2008; Zbl 1199.65103)
Huang, Zejun; Liu, Jianzhou New iterative criteria for nonsingular \(H\)-matrices. (Chinese. English summary) Zbl 1174.15364 Chin. J. Eng. Math. 25, No. 5, 939-942 (2008). MSC: 15B57 PDFBibTeX XMLCite \textit{Z. Huang} and \textit{J. Liu}, Chin. J. Eng. Math. 25, No. 5, 939--942 (2008; Zbl 1174.15364)
Huang, Zhuohong; Liu, Jianzhou Estimates for the upper and lower bounds on the inverse elements of strictly diagonally dominant periodic tridiagonal matrices. (Chinese. English summary) Zbl 1174.15358 Chin. J. Eng. Math. 25, No. 4, 703-707 (2008). MSC: 15A45 65F10 65L12 65D07 39A10 15B57 PDFBibTeX XMLCite \textit{Z. Huang} and \textit{J. Liu}, Chin. J. Eng. Math. 25, No. 4, 703--707 (2008; Zbl 1174.15358)
Tuo, Qing; Xie, Qingming; Liu, Jianzhou New practical criteria for nonsingular H-matrices. (Chinese. English summary) Zbl 1174.15015 Acta Math. Appl. Sin. 31, No. 1, 143-151 (2008). MSC: 15B57 PDFBibTeX XMLCite \textit{Q. Tuo} et al., Acta Math. Appl. Sin. 31, No. 1, 143--151 (2008; Zbl 1174.15015)
Ding, Biwen; Liu, Jianzhou Criteria for generalized diagonally dominant matrices. (Chinese. English summary) Zbl 1174.15363 Chin. J. Eng. Math. 25, No. 2, 377-380 (2008). MSC: 15B57 65F10 PDFBibTeX XMLCite \textit{B. Ding} and \textit{J. Liu}, Chin. J. Eng. Math. 25, No. 2, 377--380 (2008; Zbl 1174.15363)
Tuo, Qing; Zhu, Li; Liu, Jianzhou One type of new criteria conditions for nonsingular \(H\)-matrices. (Chinese. English summary) Zbl 1174.15367 Math. Numer. Sin. 30, No. 2, 177-182 (2008). MSC: 15B57 PDFBibTeX XMLCite \textit{Q. Tuo} et al., Math. Numer. Sin. 30, No. 2, 177--182 (2008; Zbl 1174.15367)
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 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Q. Xie}, Int. J. Inf. Syst. Sci. 4, No. 1, 30--40 (2008; Zbl 1159.15009)
Liu, Jian-Zhou; Huang, Ze-Jun A note on “Block h-matrices and spectrum of block matrices”. (English) Zbl 1231.15020 Appl. Math. Mech., Engl. Ed. 29, No. 7, 953-960 (2008). MSC: 15B48 05C50 PDFBibTeX XMLCite \textit{J.-Z. Liu} and \textit{Z.-J. Huang}, Appl. Math. Mech., Engl. Ed. 29, No. 7, 953--960 (2008; Zbl 1231.15020) Full Text: DOI
Liu, Jianzhou; Li, Jicheng; Huang, Zhuohong; Kong, Xu Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices. (English) Zbl 1133.15020 Linear Algebra Appl. 428, No. 4, 1009-1030 (2008). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15B57 15B48 PDFBibTeX XMLCite \textit{J. Liu} et al., Linear Algebra Appl. 428, No. 4, 1009--1030 (2008; Zbl 1133.15020) Full Text: DOI
Liu, Jianzhou; He, Lingli A new trace bound for a general square matrix product. (English) Zbl 1366.15007 IEEE Trans. Autom. Control 52, No. 2, 349-352 (2007). MSC: 15A18 15A45 PDFBibTeX XMLCite \textit{J. Liu} and \textit{L. He}, IEEE Trans. Autom. Control 52, No. 2, 349--352 (2007; Zbl 1366.15007) Full Text: DOI
Zhu, Li; Liu, Jian-Zhou Some new conditions for generalized H-matrices. (English) Zbl 1231.65066 Appl. Math. Mech., Engl. Ed. 28, No. 11, 1495-1501 (2007). MSC: 65F10 15B57 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{J.-Z. Liu}, Appl. Math. Mech., Engl. Ed. 28, No. 11, 1495--1501 (2007; Zbl 1231.65066) Full Text: DOI
Mo, Hongmin; Liu, Jianzhou Some new criteria for judging nonsingular H-matrices. (Chinese. English summary) Zbl 1150.15339 Numer. Math., Nanjing 29, No. 4, 303-310 (2007). MSC: 15B57 PDFBibTeX XMLCite \textit{H. Mo} and \textit{J. Liu}, Numer. Math., Nanjing 29, No. 4, 303--310 (2007; Zbl 1150.15339)
Mo, Hongmin; Liu, Jianzhou Criteria for generalized strictly diagonally dominant matrices and nonsingular \(M\)-matrices. (Chinese. English summary) Zbl 1150.15338 Chin. J. Eng. Math. 24, No. 6, 1125-1128 (2007). MSC: 15B57 15B48 PDFBibTeX XMLCite \textit{H. Mo} and \textit{J. Liu}, Chin. J. Eng. Math. 24, No. 6, 1125--1128 (2007; Zbl 1150.15338)
Huang, Rong; Liu, Jianzhou A new type of determinate conditions for nonsingular \(H\)-matrices. (Chinese. English summary) Zbl 1115.15314 Numer. Math., Nanjing 28, No. 4, 337-345 (2006). MSC: 15B57 65F30 PDFBibTeX XMLCite \textit{R. Huang} and \textit{J. Liu}, Numer. Math., Nanjing 28, No. 4, 337--345 (2006; Zbl 1115.15314)
Liu, Jianzhou; Huang, Yunqing; Liao, Anping Some inequalities for eigenvalues of Schur complements of Hermitian matrices. (English) Zbl 1108.15019 J. Comput. Appl. Math. 196, No. 2, 439-451 (2006). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A42 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Comput. Appl. Math. 196, No. 2, 439--451 (2006; Zbl 1108.15019) Full Text: DOI
Ding, Biwen; Liu, Jianzhou Sufficient conditions of generalized diagonally dominant matrix. (Chinese. English summary) Zbl 1107.15021 J. Math. Study 38, No. 4, 422-427 (2005). MSC: 15B57 65F10 PDFBibTeX XMLCite \textit{B. Ding} and \textit{J. Liu}, J. Math. Study 38, No. 4, 422--427 (2005; Zbl 1107.15021)
Xu, Yinghong; Liu, Jianzhou A set of conditions for verifying generalized strictly diagonally dominant matrices. (Chinese. English summary) Zbl 1099.65515 Chin. J. Eng. Math. 22, No. 4, 733-736 (2005). MSC: 65F10 15A42 15B48 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{J. Liu}, Chin. J. Eng. Math. 22, No. 4, 733--736 (2005; Zbl 1099.65515)
Liu, Jianzhou; Xu, Yinghong; Liao, Anping The methods for judging generalized block diagonally dominant matrices. (Chinese. English summary) Zbl 1095.15022 Numer. Math., Nanjing 27, No. 3, 250-257 (2005). MSC: 15B57 65F10 PDFBibTeX XMLCite \textit{J. Liu} et al., Numer. Math., Nanjing 27, No. 3, 250--257 (2005; Zbl 1095.15022)
Liu, Jianzhou; Zhang, Fuzhen Disc separation of the Schur complement of diagonally dominant matrices and determinantal bounds. (English) Zbl 1107.15022 SIAM J. Matrix Anal. Appl. 27, No. 3, 665-674 (2005). Reviewer: Martín Argerami (Regina) MSC: 15B57 15A45 15A42 15A15 PDFBibTeX XMLCite \textit{J. Liu} and \textit{F. Zhang}, SIAM J. Matrix Anal. Appl. 27, No. 3, 665--674 (2005; Zbl 1107.15022) Full Text: DOI Link
Liu, Jianzhou; Cao, Yanhua Some properties on additive compound matrices of some special class of matrices. (English) Zbl 1073.15523 J. Univ. Sci. Technol. Suzhou, Nat. Sci. 21, No. 1, 1-5 (2004). MSC: 15B48 15B57 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Y. Cao}, J. Univ. Sci. Technol. Suzhou, Nat. Sci. 21, No. 1, 1--5 (2004; Zbl 1073.15523)
Cao, Yanhua; Liu, Jianzhou Uniqueness of matrix \(m\)th root. (English) Zbl 1066.15013 Appl. Math. Comput. 157, No. 3, 605-622 (2004). Reviewer: Daniela B. Nikolova (Sofia) MSC: 15A24 15A18 15A21 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{J. Liu}, Appl. Math. Comput. 157, No. 3, 605--622 (2004; Zbl 1066.15013) Full Text: DOI
Liu, Jianzhou; Huang, Yunqing Some properties on Schur complements of H-matrices and diagonally dominant matrices. (English) Zbl 1068.15004 Linear Algebra Appl. 389, 365-380 (2004). MSC: 15A18 15B48 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Y. Huang}, Linear Algebra Appl. 389, 365--380 (2004; Zbl 1068.15004) Full Text: DOI
Liu, Jianzhou; Huang, Yunqing; Zhang, Fuzhen The Schur complements of generalized doubly diagonally dominant matrices. (English) Zbl 1051.15016 Linear Algebra Appl. 378, 231-244 (2004). Reviewer: Fuad Kittaneh (Amman) MSC: 15B48 65F10 PDFBibTeX XMLCite \textit{J. Liu} et al., Linear Algebra Appl. 378, 231--244 (2004; Zbl 1051.15016) Full Text: DOI
Han, Jun Lin; Liu, Jian Zhou The Kronecker sum of some matrices. (Chinese. English summary) Zbl 1504.15113 Math. Theory Appl. 22, No. 1, 17-20 (2002). MSC: 15B57 PDFBibTeX XMLCite \textit{J. L. Han} and \textit{J. Z. Liu}, Math. Theory Appl. 22, No. 1, 17--20 (2002; Zbl 1504.15113)
Han, Junlin; Liu, Jianzhou The Khatri-Rao product of block diagonally dominant matrices. (Chinese. English summary) Zbl 1022.15024 J. Eng. Math., Xi’an 19, No. 4, 106-110, 100 (2002). MSC: 15B48 15A99 PDFBibTeX XMLCite \textit{J. Han} and \textit{J. Liu}, J. Eng. Math., Xi'an 19, No. 4, 106--110, 100 (2002; Zbl 1022.15024)
Cao, Yanhua; Liu, Jianzhou Uniqueness of \(m\)th root matrices. (Chinese. English summary) Zbl 1002.15014 Nat. Sci. J. Xiangtan Univ. 24, No. 1, 13-15 (2002). MSC: 15A24 15A18 15A21 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{J. Liu}, Nat. Sci. J. Xiangtan Univ. 24, No. 1, 13--15 (2002; Zbl 1002.15014)
Liu, Jianzhou; Xie, Qingming Löwner partial order and singular values for compound matrices of generalized Schur complements of a matrix. (Chinese. English summary) Zbl 1012.15015 Acta Math. Sin. 43, No. 6, 1071-1076 (2000). MSC: 15B48 15A42 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Q. Xie}, Acta Math. Sin. 43, No. 6, 1071--1076 (2000; Zbl 1012.15015)
Yang, Zhongpeng; Liu, Jianzhou Some results on Oppenheim’s inequalities for M-matrices. (English) Zbl 0961.15015 SIAM J. Matrix Anal. Appl. 21, No. 3, 904-912 (2000). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A45 15B48 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{J. Liu}, SIAM J. Matrix Anal. Appl. 21, No. 3, 904--912 (2000; Zbl 0961.15015) Full Text: DOI
Liu, Jian Zhou; Huang, Li Ping Eigenvalues of Schur complements of sums of positive definite self-conjugate matrices. (Chinese. English summary) Zbl 1504.15027 Math. Theory Appl. 19, No. 2, 55-57 (1999). MSC: 15A18 15A45 15B48 PDFBibTeX XMLCite \textit{J. Z. Liu} and \textit{L. P. Huang}, Math. Theory Appl. 19, No. 2, 55--57 (1999; Zbl 1504.15027)
Liu, Jianzhou Some inequalities for singular values and eigenvalues of Schur complements of matrices. (English) Zbl 0958.15016 Nat. Sci. J. Xiangtan Univ. 21, No. 3, 119-122 (1999). MSC: 15A42 PDFBibTeX XMLCite \textit{J. Liu}, Nat. Sci. J. Xiangtan Univ. 21, No. 3, 119--122 (1999; Zbl 0958.15016)
Liu, Jianzhou; Wang, Jian Some inequalities for Schur complements. (English) Zbl 0941.15018 Linear Algebra Appl. 293, No. 1-3, 233-241 (1999). Reviewer: M.Voicu (Iaşi) MSC: 15A45 15B57 PDFBibTeX XMLCite \textit{J. Liu} and \textit{J. Wang}, Linear Algebra Appl. 293, No. 1--3, 233--241 (1999; Zbl 0941.15018) Full Text: DOI
Liu, Jianzhou Some inequalities for singular values and eigenvalues of generalized Schur complements of products of matrices. (English) Zbl 0941.15017 Linear Algebra Appl. 286, No. 1-3, 209-221 (1999). Reviewer: M.Voicu (Iaşi) MSC: 15A42 PDFBibTeX XMLCite \textit{J. Liu}, Linear Algebra Appl. 286, No. 1--3, 209--221 (1999; Zbl 0941.15017) Full Text: DOI
Liu, Jianzhou Some Löwner partial orders of Schur complements and Kronecker products of matrices. (English) Zbl 0936.15016 Linear Algebra Appl. 291, No. 1-3, 143-149 (1999). Reviewer: Philippe Elbaz-Vincent (Montpellier) MSC: 15A45 15A42 15B48 PDFBibTeX XMLCite \textit{J. Liu}, Linear Algebra Appl. 291, No. 1--3, 143--149 (1999; Zbl 0936.15016) Full Text: DOI
Liu, Jianzhou Some estimates for correlation coefficients of a system of random vectors. (Chinese. English summary) Zbl 0920.62070 Appl. Math., Ser. A (Chin. Ed.) 14, No. 1, 43-48 (1999). MSC: 62H12 62H20 15A15 15A45 PDFBibTeX XMLCite \textit{J. Liu}, Appl. Math., Ser. A (Chin. Ed.) 14, No. 1, 43--48 (1999; Zbl 0920.62070)
Liu, Jianzhou; Xie, Qingming Some estimates for singular values of Schur complements of products of matrices. (Chinese) Zbl 0933.15036 Chin. Ann. Math., Ser. A 19, No. 3, 285-288 (1998). MSC: 15A42 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Q. Xie}, Chin. Ann. Math., Ser. A 19, No. 3, 285--288 (1998; Zbl 0933.15036)
Liu, Jianzhou; Yuan, Xiuyu Some interlacing properties of Schur complements of quaternion self-conjugate matrices. (Chinese. English summary) Zbl 0926.15015 Nat. Sci. J. Xiangtan Univ. 20, No. 4, 1-2 (1998). MSC: 15B33 15A42 PDFBibTeX XMLCite \textit{J. Liu} and \textit{X. Yuan}, Nat. Sci. J. Xiangtan Univ. 20, No. 4, 1--2 (1998; Zbl 0926.15015)