Wu, Jinzhao; Jiang, Hongjie; He, Mengyu; Liu, Xiaoji General strong fuzzy solutions of complex fuzzy matrix equations involving the Moore-Penrose weak group inverse. (English) Zbl 07803354 Inf. Sci. 654, Article ID 119832, 17 p. (2024). MSC: 15A24 15A09 15B15 PDFBibTeX XMLCite \textit{J. Wu} et al., Inf. Sci. 654, Article ID 119832, 17 p. (2024; Zbl 07803354) Full Text: DOI
Wang, Hongxing; Cui, Chong; Liu, Xiaoji Dual \(r\)-rank decomposition and its applications. (English) Zbl 07784400 Comput. Appl. Math. 42, No. 8, Paper No. 349, 17 p. (2023). MSC: 15A10 15B33 PDFBibTeX XMLCite \textit{H. Wang} et al., Comput. Appl. Math. 42, No. 8, Paper No. 349, 17 p. (2023; Zbl 07784400) Full Text: DOI arXiv
Liu, Xiaoji; Wang, Congcong; Wang, Hongxing Further results on strongly core orthogonal matrix. (English) Zbl 1526.15002 Linear Multilinear Algebra 71, No. 15, 2543-2564 (2023). MSC: 15A09 15A03 15B10 PDFBibTeX XMLCite \textit{X. Liu} et al., Linear Multilinear Algebra 71, No. 15, 2543--2564 (2023; Zbl 1526.15002) Full Text: DOI
Jin, Hongwei; Xu, Shumin; Wang, Yuzhen; Liu, Xiaoji The Moore-Penrose inverse of tensors via the M-product. (English) Zbl 07745057 Comput. Appl. Math. 42, No. 6, Paper No. 294, 28 p. (2023). MSC: 15A18 15A69 PDFBibTeX XMLCite \textit{H. Jin} et al., Comput. Appl. Math. 42, No. 6, Paper No. 294, 28 p. (2023; Zbl 07745057) Full Text: DOI
Yao, Jiaxuan; Liu, Xiaoji; Jin, Hongwei Characterizations of the generalized MPCEP inverse of rectangular matrices. (English) Zbl 1517.15004 J. Appl. Math. 2023, Article ID 6235312, 10 p. (2023). MSC: 15A09 PDFBibTeX XMLCite \textit{J. Yao} et al., J. Appl. Math. 2023, Article ID 6235312, 10 p. (2023; Zbl 1517.15004) Full Text: DOI
Wang, Hongxing; Wu, Hui; Liu, Xiaoji The \(\mathfrak{m}\)-core-EP inverse in Minkowski space. (English) Zbl 1498.15005 Bull. Iran. Math. Soc. 48, No. 5, 2577-2601 (2022). MSC: 15A09 15A10 15A24 PDFBibTeX XMLCite \textit{H. Wang} et al., Bull. Iran. Math. Soc. 48, No. 5, 2577--2601 (2022; Zbl 1498.15005) Full Text: DOI arXiv
Liu, Xiaoji; Gui, Fang; Wang, Hongxing The \(L^*\) partial order on the set of group matrices. (English) Zbl 1524.15008 Commun. Math. Res. 37, No. 4, 462-483 (2021). MSC: 15A09 15A24 06A06 PDFBibTeX XMLCite \textit{X. Liu} et al., Commun. Math. Res. 37, No. 4, 462--483 (2021; Zbl 1524.15008) Full Text: DOI
Wang, Hongxing; Liu, Xiaoji Solutions of the matrix inequality \(AXA\overset{?}{\leq}A\) in some partial orders. (English) Zbl 1508.15012 Appl. Math. Comput. 396, Article ID 125940, 11 p. (2021). MSC: 15A39 15A09 15A24 15B57 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Liu}, Appl. Math. Comput. 396, Article ID 125940, 11 p. (2021; Zbl 1508.15012) Full Text: DOI
Wang, Hongxing; Li, Ning; Liu, Xiaoji The \(\mathfrak{m}\)-core inverse and its applications. (English) Zbl 1473.15011 Linear Multilinear Algebra 69, No. 13, 2491-2509 (2021). MSC: 15A09 15A24 PDFBibTeX XMLCite \textit{H. Wang} et al., Linear Multilinear Algebra 69, No. 13, 2491--2509 (2021; Zbl 1473.15011) Full Text: DOI
Wang, Hongxing; Liu, Xiaoji EP-nilpotent decomposition and its applications. (English) Zbl 1450.15006 Linear Multilinear Algebra 68, No. 8, 1682-1694 (2020). Reviewer: K. C. Sivakumar (Chennai) MSC: 15A09 15A23 15A24 06A06 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Liu}, Linear Multilinear Algebra 68, No. 8, 1682--1694 (2020; Zbl 1450.15006) Full Text: DOI
Jiang, Hongjie; Wang, Hongxing; Liu, Xiaoji Solving fuzzy linear systems by a block representation of generalized inverse: the core inverse. (English) Zbl 1449.15073 Comput. Appl. Math. 39, No. 2, Paper No. 133, 20 p. (2020). MSC: 15B15 15A09 PDFBibTeX XMLCite \textit{H. Jiang} et al., Comput. Appl. Math. 39, No. 2, Paper No. 133, 20 p. (2020; Zbl 1449.15073) Full Text: DOI
Wang, Hongxing; Liu, Xiaoji The polar-like decomposition and its applications. (English) Zbl 1499.15045 Filomat 33, No. 12, 3977-3983 (2019). MSC: 15A23 15A24 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Liu}, Filomat 33, No. 12, 3977--3983 (2019; Zbl 1499.15045) Full Text: DOI
Wang, Hongxing; Liu, Xiaoji The weak group matrix. (English) Zbl 1475.15004 Aequationes Math. 93, No. 6, 1261-1273 (2019). MSC: 15A09 15A30 15A24 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Liu}, Aequationes Math. 93, No. 6, 1261--1273 (2019; Zbl 1475.15004) Full Text: DOI
Liu, Xiaoji; Qin, Yonghui; Benítez, Julio On the generalized Drazin inverse in a Banach algebra. (English) Zbl 1448.46039 Ital. J. Pure Appl. Math. 41, 1-22 (2019). MSC: 46H05 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., Ital. J. Pure Appl. Math. 41, 1--22 (2019; Zbl 1448.46039) Full Text: Link
Qin, Yonghui; Xie, Zhenshu; Liu, Xiaoji Perturbation bound for the Drazin inverse of the matrix-value function. (English) Zbl 1417.15007 Adv. Math. Phys. 2019, Article ID 8136215, 14 p. (2019). MSC: 15A09 47A55 PDFBibTeX XMLCite \textit{Y. Qin} et al., Adv. Math. Phys. 2019, Article ID 8136215, 14 p. (2019; Zbl 1417.15007) Full Text: DOI
Liu, Xiaoji; Cai, Naping High-order iterative methods for the DMP inverse. (English) Zbl 1487.65050 J. Math. 2018, Article ID 8175935, 6 p. (2018). MSC: 65F99 15A24 PDFBibTeX XMLCite \textit{X. Liu} and \textit{N. Cai}, J. Math. 2018, Article ID 8175935, 6 p. (2018; Zbl 1487.65050) Full Text: DOI
Wang, Hongxing; Liu, Xiaoji A partial order on the set of complex matrices with index one. (English) Zbl 1388.15005 Linear Multilinear Algebra 66, No. 1, 206-216 (2018). Reviewer: K. C. Sivakumar (Chennai) MSC: 15A09 15A24 15B57 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Liu}, Linear Multilinear Algebra 66, No. 1, 206--216 (2018; Zbl 1388.15005) Full Text: DOI
Jin, Hongwei; Bai, Minru; Benítez, Julio; Liu, Xiaoji The generalized inverses of tensors and an application to linear models. (English) Zbl 1390.15079 Comput. Math. Appl. 74, No. 3, 385-397 (2017). MSC: 15A69 15A09 PDFBibTeX XMLCite \textit{H. Jin} et al., Comput. Math. Appl. 74, No. 3, 385--397 (2017; Zbl 1390.15079) Full Text: DOI Link
Liu, Xiaoji; Jin, Hongwei; Višnjić, Jelena Representations of generalized inverses and Drazin inverse of partitioned matrix with Banachiewicz-Schur forms. (English) Zbl 1400.15010 Math. Probl. Eng. 2016, Article ID 9236281, 14 p. (2016). MSC: 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., Math. Probl. Eng. 2016, Article ID 9236281, 14 p. (2016; Zbl 1400.15010) Full Text: DOI
Liu, Xiao Ji; Benitez Lopez, Julio; Zhang, Miao Involutiveness of linear combinations of a quadratic or tripotent matrix and an arbitrary matrix. (English) Zbl 1373.15011 Bull. Iran. Math. Soc. 42, No. 3, 595-610 (2016). MSC: 15A09 PDFBibTeX XMLCite \textit{X. J. Liu} et al., Bull. Iran. Math. Soc. 42, No. 3, 595--610 (2016; Zbl 1373.15011) Full Text: Link
Zhou, Yuxing; Huang, Jingpin; Liu, Xiaoji Partial isometry of the partitioned matrix. (Chinese. English summary) Zbl 1374.15013 J. Ningxia Univ., Nat. Sci. Ed. 37, No. 4, 420-423 (2016). MSC: 15A12 PDFBibTeX XMLCite \textit{Y. Zhou} et al., J. Ningxia Univ., Nat. Sci. Ed. 37, No. 4, 420--423 (2016; Zbl 1374.15013)
Du, Weirong; Liu, Xiaoji The iterative method for computing \(T\)-restricted weighted Drazin inverse \(\hat{A}_{A^k,T}^D\). (Chinese. English summary) Zbl 1374.65057 Math. Pract. Theory 46, No. 16, 207-212 (2016). MSC: 65F20 15A09 65F10 PDFBibTeX XMLCite \textit{W. Du} and \textit{X. Liu}, Math. Pract. Theory 46, No. 16, 207--212 (2016; Zbl 1374.65057)
Fu, Shiqin; Liu, Xiaoji The invariance properties of operator products involving generalized inverses. (Chinese. English summary) Zbl 1363.47001 J. Sichuan Norm. Univ., Nat. Sci. 39, No. 2, 185-190 (2016). MSC: 47A05 15A09 PDFBibTeX XMLCite \textit{S. Fu} and \textit{X. Liu}, J. Sichuan Norm. Univ., Nat. Sci. 39, No. 2, 185--190 (2016; Zbl 1363.47001) Full Text: DOI
Liu, Xiaoji; Fu, Shiqin; Yu, Yaoming An invariance property of operator products related to the mixed-type reverse order laws. (English) Zbl 1357.47004 Linear Multilinear Algebra 64, No. 5, 885-896 (2016). Reviewer: K. C. Sivakumar (Chennai) MSC: 47A05 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., Linear Multilinear Algebra 64, No. 5, 885--896 (2016; Zbl 1357.47004) Full Text: DOI
Wang, Hongxing; Liu, Xiaoji Partial orders based on core-nilpotent decomposition. (English) Zbl 1327.15008 Linear Algebra Appl. 488, 235-248 (2016). MSC: 15A09 15A24 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Liu}, Linear Algebra Appl. 488, 235--248 (2016; Zbl 1327.15008) Full Text: DOI
Liu, Xiaoji; Jiang, Caijing Semi-iterative method for computing the generalized inverse \(A_{T, S}^{(2)}\). (English) Zbl 1470.65064 Abstr. Appl. Anal. 2015, Article ID 849487, 8 p. (2015). MSC: 65F20 47J25 47A05 15A09 PDFBibTeX XMLCite \textit{X. Liu} and \textit{C. Jiang}, Abstr. Appl. Anal. 2015, Article ID 849487, 8 p. (2015; Zbl 1470.65064) Full Text: DOI
Liu, Xiaoji; Qin, Xiaolan; Julio, Benitez Some additive results on Drazin inverse. (English) Zbl 1349.15010 Appl. Math., Ser. B (Engl. Ed.) 30, No. 4, 479-490 (2015). MSC: 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., Appl. Math., Ser. B (Engl. Ed.) 30, No. 4, 479--490 (2015; Zbl 1349.15010) Full Text: DOI Link
Liu, Xiaoji; Qin, Xiaolan Formulae for the generalized Drazin inverse of a block matrix in Banach algebras. (English) Zbl 1341.46030 J. Funct. Spaces 2015, Article ID 767568, 8 p. (2015). MSC: 46H05 15A09 PDFBibTeX XMLCite \textit{X. Liu} and \textit{X. Qin}, J. Funct. Spaces 2015, Article ID 767568, 8 p. (2015; Zbl 1341.46030) Full Text: DOI
Wang, Hongxing; Liu, Xiaoji Characterizations of the core inverse and the core partial ordering. (English) Zbl 1325.15002 Linear Multilinear Algebra 63, No. 9, 1829-1836 (2015). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A09 06A06 15A18 15A23 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Liu}, Linear Multilinear Algebra 63, No. 9, 1829--1836 (2015; Zbl 1325.15002) Full Text: DOI
Liu, Xiaoji; Zuo, Zemeng A high-order iterate method for computing \(A_{T, S}^{(2)}\). (English) Zbl 1442.65061 J. Appl. Math. 2014, Article ID 741368, 7 p. (2014). MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Z. Zuo}, J. Appl. Math. 2014, Article ID 741368, 7 p. (2014; Zbl 1442.65061) Full Text: DOI
Liu, Xiaoji; Zhang, Miao; Benítez, Julio Further results on the reverse order law for the group inverse in rings. (English) Zbl 1364.15004 Appl. Math. Comput. 229, 316-326 (2014). MSC: 15A09 16W10 46H05 PDFBibTeX XMLCite \textit{X. Liu} et al., Appl. Math. Comput. 229, 316--326 (2014; Zbl 1364.15004) Full Text: DOI Link
Liu, Xiaoji; Xu, Liang; Yu, Yaoming The explicit expression of the Drazin inverse of sums of two matrices and its application. (English) Zbl 1329.15015 Ital. J. Pure Appl. Math. 33, 45-62 (2014). MSC: 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., Ital. J. Pure Appl. Math. 33, 45--62 (2014; Zbl 1329.15015) Full Text: Link
Benítez, Julio; Liu, Xiaoji Simultaneous decomposition of two EP matrices with applications. (English) Zbl 1327.15077 Electron. J. Linear Algebra 27, 407-425 (2014). MSC: 15B99 15A23 15A09 PDFBibTeX XMLCite \textit{J. Benítez} and \textit{X. Liu}, Electron. J. Linear Algebra 27, 407--425 (2014; Zbl 1327.15077)
Liu, Xiaoji; Huang, Fu; Jin, Hongwei Limitation expressions of generalized inverse in Hilbert spaces. (Chinese. English summary) Zbl 1324.15008 J. Lanzhou Univ. Technol. 40, No. 5, 145-149 (2014). MSC: 15A09 47L30 47L40 47A05 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Lanzhou Univ. Technol. 40, No. 5, 145--149 (2014; Zbl 1324.15008)
Liu, Xiaoji; Zhang, Miaomiao; Benítez, Julio Expressions of the group inverse of the linear combinations of \(k\)-idempotent matrices and the Moore-Penrose generalized inverse of the linear combinations of the hypergeneralized idempotent matrices. (Chinese. English summary) Zbl 1324.15009 Chin. Ann. Math., Ser. A 35, No. 4, 463-478 (2014). MSC: 15A09 15A18 PDFBibTeX XMLCite \textit{X. Liu} et al., Chin. Ann. Math., Ser. A 35, No. 4, 463--478 (2014; Zbl 1324.15009)
Liu, Xiaoji; Qin, Yonghui Perturbation of the generalized Drazin inverse in Banach algebra. (Chinese. English summary) Zbl 1313.15009 Acta Math. Sin., Chin. Ser. 57, No. 1, 35-46 (2014). MSC: 15A09 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Qin}, Acta Math. Sin., Chin. Ser. 57, No. 1, 35--46 (2014; Zbl 1313.15009)
Liu, Xiaoji; Huang, Shaowu; Xu, Liang; Yu, Yaoming The explicit expression of the Drazin inverse and its application. (English) Zbl 1397.15001 J. Appl. Math. 2013, Article ID 479260, 7 p. (2013). MSC: 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Appl. Math. 2013, Article ID 479260, 7 p. (2013; Zbl 1397.15001) Full Text: DOI
Benítez, J.; Liu, X.; Qin, Y. Representations for the generalized Drazin inverse in a Banach algebra. (English) Zbl 1314.46059 Bull. Math. Anal. Appl. 5, No. 1, 53-64 (2013). MSC: 46H05 15A09 PDFBibTeX XMLCite \textit{J. Benítez} et al., Bull. Math. Anal. Appl. 5, No. 1, 53--64 (2013; Zbl 1314.46059) Full Text: Link
Liu, Xiaoji; Xu, Zhaoliang; Zhao, Qing; Wei, Hui On the perturbation of weighted group inverse of rectangular matrices. (English) Zbl 1298.15010 J. Appl. Math. Comput. 42, No. 1-2, 441-454 (2013). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Appl. Math. Comput. 42, No. 1--2, 441--454 (2013; Zbl 1298.15010) Full Text: DOI
Liu, Xiaoji; Huang, Fu Higher-order convergent iterative method for computing the generalized inverse over Banach spaces. (English) Zbl 1291.65104 Abstr. Appl. Anal. 2013, Article ID 356105, 5 p. (2013). MSC: 65F10 15A09 PDFBibTeX XMLCite \textit{X. Liu} and \textit{F. Huang}, Abstr. Appl. Anal. 2013, Article ID 356105, 5 p. (2013; Zbl 1291.65104) Full Text: DOI
Liu, Xiaoji; Jin, Hongwei; Cvetković-Ilić, Dragana S. Representations of generalized inverses of partitioned matrix involving Schur complement. (English) Zbl 1290.15002 Appl. Math. Comput. 219, No. 18, 9615-9629 (2013). MSC: 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., Appl. Math. Comput. 219, No. 18, 9615--9629 (2013; Zbl 1290.15002) Full Text: DOI
Benítez, Julio; Liu, Xiaoji Expressions for generalized inverses of square matrices. (English) Zbl 1285.15004 Linear Multilinear Algebra 61, No. 11, 1536-1554 (2013). Reviewer: Janko Marovt (Braslovče) MSC: 15A09 15A23 PDFBibTeX XMLCite \textit{J. Benítez} and \textit{X. Liu}, Linear Multilinear Algebra 61, No. 11, 1536--1554 (2013; Zbl 1285.15004) Full Text: DOI
Liu, Xiaoji; Yang, Qi; Jin, Hongwei New representations of the group inverse of \(2 \times 2\) block matrices. (English) Zbl 1271.15001 J. Appl. Math. 2013, Article ID 247028, 10 p. (2013). MSC: 15A09 15A23 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Appl. Math. 2013, Article ID 247028, 10 p. (2013; Zbl 1271.15001) Full Text: DOI
Liu, Xiaoji; Wu, Shuxia; Cvetković-Ilić, Dragana S. New results on reverse order law for \(\{1,2,3\}\)- and \(\{1,2,4\}\)-inverses of bounded operators. (English) Zbl 1279.15010 Math. Comput. 82, No. 283, 1597-1607 (2013). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15A09 47B37 47A05 PDFBibTeX XMLCite \textit{X. Liu} et al., Math. Comput. 82, No. 283, 1597--1607 (2013; Zbl 1279.15010) Full Text: DOI
Benítez, Julio; Liu, Xiaoji A short proof of a matrix decomposition with applications. (English) Zbl 1277.15011 Linear Algebra Appl. 438, No. 3, 1398-1414 (2013). Reviewer: Xiangqian Guo (Zhengzhou) MSC: 15A23 15A09 PDFBibTeX XMLCite \textit{J. Benítez} and \textit{X. Liu}, Linear Algebra Appl. 438, No. 3, 1398--1414 (2013; Zbl 1277.15011) Full Text: DOI
Wu, Shuxia; Liu, Xiaoji Group invertibility of combinations of two tripotent matrices. (Chinese. English summary) Zbl 1289.15011 J. North Univ. China, Nat. Sci. 33, No. 6, 638-642 (2012). MSC: 15A09 15A21 PDFBibTeX XMLCite \textit{S. Wu} and \textit{X. Liu}, J. North Univ. China, Nat. Sci. 33, No. 6, 638--642 (2012; Zbl 1289.15011) Full Text: DOI
Liu, Xiaoji; Qin, Yonghui; Cvetković-Ilić, Dragana S. Perturbation bounds for the Moore-Penrose inverse of operators. (English) Zbl 1289.15010 Filomat 26, No. 2, 353-362 (2012). MSC: 15A09 47A05 65F20 15A06 PDFBibTeX XMLCite \textit{X. Liu} et al., Filomat 26, No. 2, 353--362 (2012; Zbl 1289.15010) Full Text: DOI
Hu, Chunmei; Liu, Xiaoji Iterative methods for the weighted group inverses of rectangular matrices. (Chinese. English summary) Zbl 1274.65114 Numer. Math., Nanjing 34, No. 1, 16-22 (2012). MSC: 65F20 15A09 65F10 PDFBibTeX XMLCite \textit{C. Hu} and \textit{X. Liu}, Numer. Math., Nanjing 34, No. 1, 16--22 (2012; Zbl 1274.65114)
Liu, Xiaoji; Zhu, Guangyan; Zhou, Guangping; Yu, Yaoming An analog of the adjugate matrix for the outer inverse \(A^{(2)}_{T, S}\). (English) Zbl 1264.15010 Math. Probl. Eng. 2012, Article ID 591256, 14 p. (2012). MSC: 15A15 PDFBibTeX XMLCite \textit{X. Liu} et al., Math. Probl. Eng. 2012, Article ID 591256, 14 p. (2012; Zbl 1264.15010) Full Text: DOI
Liu, Xiaoji; Qin, Yonghui Successive matrix squaring algorithm for computing the generalized inverse \(A^{(2)}_{T, S}\). (English) Zbl 1268.65056 J. Appl. Math. 2012, Article ID 262034, 12 p. (2012). MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Qin}, J. Appl. Math. 2012, Article ID 262034, 12 p. (2012; Zbl 1268.65056) Full Text: DOI
Benítez, Julio; Liu, Xiaoji On the continuity of the group inverse. (English) Zbl 1262.15004 Oper. Matrices 6, No. 4, 859-868 (2012). MSC: 15A09 PDFBibTeX XMLCite \textit{J. Benítez} and \textit{X. Liu}, Oper. Matrices 6, No. 4, 859--868 (2012; Zbl 1262.15004) Full Text: DOI
Liu, Xiaoji; Wu, Shuxia; Yu, Yaoming The perturbation of the Drazin inverse. (English) Zbl 1255.15005 Int. J. Comput. Math. 89, No. 5, 711-726 (2012). MSC: 15A09 15A18 15A24 PDFBibTeX XMLCite \textit{X. Liu} et al., Int. J. Comput. Math. 89, No. 5, 711--726 (2012; Zbl 1255.15005) Full Text: DOI
Liu, Xiaoji; Hu, Chunmei Expressions and iterative methods for the weighted group inverses of linear operators on Banach space. (English) Zbl 1365.47001 J. Comput. Anal. Appl. 14, No. 4, 724-732 (2012). MSC: 47A05 15A09 47J25 PDFBibTeX XMLCite \textit{X. Liu} and \textit{C. Hu}, J. Comput. Anal. Appl. 14, No. 4, 724--732 (2012; Zbl 1365.47001)
Xu, Liang; Liu, Xiaoji The representations of the Drazin inverse of sums of two matrices. (English) Zbl 1259.15007 J. Comput. Anal. Appl. 14, No. 3, 433-445 (2012). Reviewer: Grozio Stanilov (Sofia) MSC: 15A09 PDFBibTeX XMLCite \textit{L. Xu} and \textit{X. Liu}, J. Comput. Anal. Appl. 14, No. 3, 433--445 (2012; Zbl 1259.15007)
Liu, Xiaoji; Huang, Shaowu; Cvetković-Ilić, Dragana S. Mixed-type reverse-order laws for \(\{1, 3, 4\}\)-generalized inverses over Hilbert spaces. (English) Zbl 1259.47001 Appl. Math. Comput. 218, No. 17, 8570-8577 (2012). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47A05 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., Appl. Math. Comput. 218, No. 17, 8570--8577 (2012; Zbl 1259.47001) Full Text: DOI
Wu, Lingling; Liu, Xiaoji; Yu, Yaoming The group involutory matrix of the combinations of two idempotent matrices. (English) Zbl 1250.15005 J. Appl. Math. 2012, Article ID 504650, 17 p. (2012). MSC: 15A09 PDFBibTeX XMLCite \textit{L. Wu} et al., J. Appl. Math. 2012, Article ID 504650, 17 p. (2012; Zbl 1250.15005) Full Text: DOI
Benítez, Julio; Liu, Xiaoji; Rakočević, Vladimir Invertibility in rings of the commutator \(ab-ba\), where \(aba=a\) and \(bab=b\). (English) Zbl 1243.15004 Linear Multilinear Algebra 60, No. 4, 449-463 (2012). Reviewer: K. C. Sivakumar (Chennai) MSC: 15A09 15B33 PDFBibTeX XMLCite \textit{J. Benítez} et al., Linear Multilinear Algebra 60, No. 4, 449--463 (2012; Zbl 1243.15004) Full Text: DOI
Liu, Xiaoji; Tu, Dengping; Yu, Yaoming The expression of the generalized Drazin inverse of \(A - CB\). (English) Zbl 1235.15005 Abstr. Appl. Anal. 2012, Article ID 412872, 10 p. (2012). MSC: 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., Abstr. Appl. Anal. 2012, Article ID 412872, 10 p. (2012; Zbl 1235.15005) Full Text: DOI
Liu, Xiaoji; Yu, Yaoming; Zhong, Jin; Wei, Yimin Integral and limit representations of the outer inverse in Banach space. (English) Zbl 1239.47002 Linear Multilinear Algebra 60, No. 3, 333-347 (2012). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47A05 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., Linear Multilinear Algebra 60, No. 3, 333--347 (2012; Zbl 1239.47002) Full Text: DOI
Wang, Hongxing; Liu, Xiaoji The associated Schur complements of \(M=\bigl[\begin{smallmatrix} A&B\\C&D\end{smallmatrix}\bigr]\). (English) Zbl 1299.15007 Filomat 25, No. 1, 155-161 (2011). MSC: 15A09 15A24 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Liu}, Filomat 25, No. 1, 155--161 (2011; Zbl 1299.15007) Full Text: DOI
Cvetkovic-Ilic, Dragana S.; Liu, Xiaoji; Wei, Yimin Some additive results for the generalized Drazin inverse in a Banach algebra. (English) Zbl 1252.15006 Electron. J. Linear Algebra 22, 1049-1058 (2011). MSC: 15A09 46H05 PDFBibTeX XMLCite \textit{D. S. Cvetkovic-Ilic} et al., Electron. J. Linear Algebra 22, 1049--1058 (2011; Zbl 1252.15006) Full Text: DOI EMIS
Liu, Xiaoji; Zhou, Guangping; Yu, Yaoming Note on the iterative methods for computing the generalized inverse over Banach spaces. (English) Zbl 1265.65067 Numer. Linear Algebra Appl. 18, No. 4, 775-787 (2011). Reviewer: Predrag S. Stanimirović (Niš) MSC: 65F20 15A09 47A05 65F10 PDFBibTeX XMLCite \textit{X. Liu} et al., Numer. Linear Algebra Appl. 18, No. 4, 775--787 (2011; Zbl 1265.65067) Full Text: DOI
Liu, Xiaoji; Qin, Yonghui; Yu, Yaoming Perturbation bounds for the generalized inverse \(A^{(2)}_{T,S}\) with respect to the Frobenius norm. (English) Zbl 1245.15009 Appl. Math. Comput. 218, No. 8, 4595-4604 (2011). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 15A60 15A06 PDFBibTeX XMLCite \textit{X. Liu} et al., Appl. Math. Comput. 218, No. 8, 4595--4604 (2011; Zbl 1245.15009) Full Text: DOI
Wu, Lingling; Liu, Xiaoji Perturbation and its computation of weighted group inverse of a rectangular matrix. (Chinese. English summary) Zbl 1249.15003 J. Sichuan Norm. Univ., Nat. Sci. 34, No. 4, 479-483 (2011). MSC: 15A09 PDFBibTeX XMLCite \textit{L. Wu} and \textit{X. Liu}, J. Sichuan Norm. Univ., Nat. Sci. 34, No. 4, 479--483 (2011; Zbl 1249.15003) Full Text: DOI
Tu, Dengping; Liu, Xiaoji Eigenprojection of core inverse of matrix multiplication corresponding to point 0. (Chinese. English summary) Zbl 1243.47003 J. Guangxi Norm. Univ., Nat. Sci. 29, No. 1, 24-28 (2011). MSC: 47A05 47A62 15A09 PDFBibTeX XMLCite \textit{D. Tu} and \textit{X. Liu}, J. Guangxi Norm. Univ., Nat. Sci. 29, No. 1, 24--28 (2011; Zbl 1243.47003)
Wu, Shuxia; Liu, Xiaoji Reverse order laws for generalized inverse in \(C^*\)-algebras. (Chinese. English summary) Zbl 1249.15004 J. Shandong Univ., Nat. Sci. 46, No. 4, 82-85 (2011). MSC: 15A09 46L05 PDFBibTeX XMLCite \textit{S. Wu} and \textit{X. Liu}, J. Shandong Univ., Nat. Sci. 46, No. 4, 82--85 (2011; Zbl 1249.15004)
Liu, Xiaoji; Wu, Shuxia; Yu, Yaoming On the Drazin inverse of the sum of two matrices. (English) Zbl 1235.15006 J. Appl. Math. 2011, Article ID 831892, 13 p. (2011). MSC: 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Appl. Math. 2011, Article ID 831892, 13 p. (2011; Zbl 1235.15006) Full Text: DOI
Zhou, Guangping; Liu, Xiaoji Iterative methods for \(\alpha\)-\(\beta\) generalized inverses. (Chinese. English summary) Zbl 1240.65138 Chin. J. Eng. Math. 28, No. 4, 513-518 (2011). MSC: 65F20 65F10 15A09 PDFBibTeX XMLCite \textit{G. Zhou} and \textit{X. Liu}, Chin. J. Eng. Math. 28, No. 4, 513--518 (2011; Zbl 1240.65138)
Liu, Xiaoji; Wu, Shuxia; Benítez, Julio On nonsingularity of combinations of two group invertible matrices and two tripotent matrices. (English) Zbl 1237.15008 Linear Multilinear Algebra 59, No. 12, 1409-1417 (2011). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A09 15A03 15A18 PDFBibTeX XMLCite \textit{X. Liu} et al., Linear Multilinear Algebra 59, No. 12, 1409--1417 (2011; Zbl 1237.15008) Full Text: DOI Link
Liu, Xiaoji; Wu, Lingling; Benítez, Julio On linear combinations of generalized involutive matrices. (English) Zbl 1237.15007 Linear Multilinear Algebra 59, No. 11, 1221-1236 (2011). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A09 15A24 15A27 15B57 PDFBibTeX XMLCite \textit{X. Liu} et al., Linear Multilinear Algebra 59, No. 11, 1221--1236 (2011; Zbl 1237.15007) Full Text: DOI Link
Liu, Xiaoji; Wu, Lingling; Benitez, Julio On the group inverse of linear combinations of two group invertible matrices. (English) Zbl 1223.15005 Electron. J. Linear Algebra 22, 490-503 (2011). MSC: 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., Electron. J. Linear Algebra 22, 490--503 (2011; Zbl 1223.15005) Full Text: EuDML EMIS
Liu, Xiaoji; Benítez, Julio The spectrum of matrices depending on two idempotents. (English) Zbl 1222.15014 Appl. Math. Lett. 24, No. 10, 1640-1646 (2011). Reviewer: Ludwig Elsner (Bielefeld) MSC: 15A18 15A21 PDFBibTeX XMLCite \textit{X. Liu} and \textit{J. Benítez}, Appl. Math. Lett. 24, No. 10, 1640--1646 (2011; Zbl 1222.15014) Full Text: DOI
Benítez, Julio; Liu, Xiaoji; Zhu, Tongping Additive results for the group inverse in an algebra with applications to block operators. (English) Zbl 1219.15003 Linear Multilinear Algebra 59, No. 1-3, 279-289 (2011). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A09 47A05 PDFBibTeX XMLCite \textit{J. Benítez} et al., Linear Multilinear Algebra 59, No. 1--3, 279--289 (2011; Zbl 1219.15003) Full Text: DOI Link
Liu, Xiaoji; Wu, Lingling; Yu, Yaoming The group inverse of the combinations of two idempotent matrices. (English) Zbl 1220.15008 Linear Multilinear Algebra 59, No. 1-3, 101-115 (2011). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A09 15A27 PDFBibTeX XMLCite \textit{X. Liu} et al., Linear Multilinear Algebra 59, No. 1--3, 101--115 (2011; Zbl 1220.15008) Full Text: DOI
Tu, Dengping; Liu, Xiaoji The eigen-projection of the core inverse of a matrix corresponding to the point zero. (Chinese. English summary) Zbl 1240.15010 Math. Pract. Theory 40, No. 24, 220-224 (2010). MSC: 15A09 15A24 15B48 PDFBibTeX XMLCite \textit{D. Tu} and \textit{X. Liu}, Math. Pract. Theory 40, No. 24, 220--224 (2010; Zbl 1240.15010)
Chen, Min; Liu, Xiaoji The biproduct and group inverse of a morphism in an additive category. (Chinese. English summary) Zbl 1240.18018 Math. Pract. Theory 40, No. 22, 173-176 (2010). MSC: 18E05 15A09 PDFBibTeX XMLCite \textit{M. Chen} and \textit{X. Liu}, Math. Pract. Theory 40, No. 22, 173--176 (2010; Zbl 1240.18018)
Zhu, Tongping; Liu, Xiaoji On linear combinations of hyper-generalized \(n\)-idempotent matrices. (Chinese. English summary) Zbl 1240.15063 J. Sichuan Norm. Univ., Nat. Sci. 33, No. 5, 601-604 (2010). MSC: 15B57 15A09 PDFBibTeX XMLCite \textit{T. Zhu} and \textit{X. Liu}, J. Sichuan Norm. Univ., Nat. Sci. 33, No. 5, 601--604 (2010; Zbl 1240.15063) Full Text: DOI
Wang, Hongxing; Liu, Xiaoji The weighted Moore-Penrose inverse over integral domains. (Chinese. English summary) Zbl 1240.15011 J. Shandong Univ., Nat. Sci. 45, No. 10, 9-14 (2010). MSC: 15A09 15B33 13G05 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Liu}, J. Shandong Univ., Nat. Sci. 45, No. 10, 9--14 (2010; Zbl 1240.15011)
Zhong, Jin; Liu, Xiaoji The characterization and representation of the \(W\)-weighted Drazin inverse of operators on Hilbert space. (Chinese. English summary) Zbl 1230.47005 Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 4, 915-921 (2010). MSC: 47A05 15A09 47A62 PDFBibTeX XMLCite \textit{J. Zhong} and \textit{X. Liu}, Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 4, 915--921 (2010; Zbl 1230.47005)
Benitez, Julio; Liu, Xiaoji; Zhong, Jin Some results on matrix partial orderings and reverse order law. (English) Zbl 1207.15035 Electron. J. Linear Algebra 20, 254-273 (2010). MSC: 15B48 15A09 PDFBibTeX XMLCite \textit{J. Benitez} et al., Electron. J. Linear Algebra 20, 254--273 (2010; Zbl 1207.15035) Full Text: EuDML EMIS
Benítez, Julio; Liu, Xiaoji; Zhu, Tongping Nonsingularity and group invertibility of linear combinations of two \(k\)-potent matrices. (English) Zbl 1204.15009 Linear Multilinear Algebra 58, No. 7-8, 1023-1035 (2010). Reviewer: K. C. Sivakumar (Chennai) MSC: 15A09 15A03 15A24 PDFBibTeX XMLCite \textit{J. Benítez} et al., Linear Multilinear Algebra 58, No. 7--8, 1023--1035 (2010; Zbl 1204.15009) Full Text: DOI
Liu, Xiaoji; Zhong, Jin; Yu, Yaoming Representation for the \(W\)-weighted Drazin inverse of linear operators. (English) Zbl 1198.47005 J. Appl. Math. Comput. 34, No. 1-2, 317-328 (2010). MSC: 47A05 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Appl. Math. Comput. 34, No. 1--2, 317--328 (2010; Zbl 1198.47005) Full Text: DOI
Liu, Xiaoji; Xu, Liang; Yu, Yaoming The representations of the Drazin inverse of differences of two matrices. (English) Zbl 1201.15001 Appl. Math. Comput. 216, No. 12, 3652-3661 (2010). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., Appl. Math. Comput. 216, No. 12, 3652--3661 (2010; Zbl 1201.15001) Full Text: DOI
Liu, Xiaoji; Benítez, Julio; Zhong, Jin Some results on partial ordering and reverse order law of elements of \(C^{*}\)-algebras. (English) Zbl 1202.46025 J. Math. Anal. Appl. 370, No. 1, 295-301 (2010). MSC: 46C05 15A09 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Math. Anal. Appl. 370, No. 1, 295--301 (2010; Zbl 1202.46025) Full Text: DOI
Liu, Xiaoji; Hu, Chunmei; Yu, Yaoming Further results on iterative methods for computing generalized inverses. (English) Zbl 1190.65088 J. Comput. Appl. Math. 234, No. 3, 684-694 (2010). Reviewer: Erwin Schechter (Moers) MSC: 65J10 47A05 15A09 65F20 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Comput. Appl. Math. 234, No. 3, 684--694 (2010; Zbl 1190.65088) Full Text: DOI
Zhu, Guang Yan; Liu, Xiao Ji A characterization of the Moore-Penrose inverse over integral domains. (Chinese. English summary) Zbl 1494.15004 Math. Pract. Theory 39, No. 11, 144-146 (2009). MSC: 15A09 PDFBibTeX XMLCite \textit{G. Y. Zhu} and \textit{X. J. Liu}, Math. Pract. Theory 39, No. 11, 144--146 (2009; Zbl 1494.15004)
Liu, Xiaoji; Wang, Hongxing Generalized inverse of matrices over commutative rings. (Chinese. English summary) Zbl 1212.15007 Math. Numer. Sin. 31, No. 4, 425-434 (2009). MSC: 15A09 15B33 15A15 PDFBibTeX XMLCite \textit{X. Liu} and \textit{H. Wang}, Math. Numer. Sin. 31, No. 4, 425--434 (2009; Zbl 1212.15007)
Zhu, Tongping; Wang, Yong; Liu, Xiaoji A necessary and sufficient condition for the existence of the limit \(\lim\limits_{\lambda\rightarrow 0}Y (\lambda I+AY)^{-1}\). (Chinese. English summary) Zbl 1212.47007 J. Shandong Univ., Nat. Sci. 44, No. 6, 10-13 (2009). MSC: 47A45 47A05 15A09 PDFBibTeX XMLCite \textit{T. Zhu} et al., J. Shandong Univ., Nat. Sci. 44, No. 6, 10--13 (2009; Zbl 1212.47007)
Xie, Zhongzhou; Liu, Xiaoji General solution to a system of quaternion matrix equations. (Chinese. English summary) Zbl 1212.15030 J. Sichuan Norm. Univ., Nat. Sci. 32, No. 4, 439-442 (2009). MSC: 15A24 15B33 15A09 PDFBibTeX XMLCite \textit{Z. Xie} and \textit{X. Liu}, J. Sichuan Norm. Univ., Nat. Sci. 32, No. 4, 439--442 (2009; Zbl 1212.15030)
Liu, Xiaoji; Zhang, Shiguang The \(w\)-weighted Drazin inverse of morphisms with kernels. (Chinese. English summary) Zbl 1212.15008 Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 3, 741-750 (2009). MSC: 15A09 18E05 18A32 PDFBibTeX XMLCite \textit{X. Liu} and \textit{S. Zhang}, Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 3, 741--750 (2009; Zbl 1212.15008)
Wang, Hongxing; Liu, Xiaoji Displacement structure of \(M\)-group inverse. (Chinese. English summary) Zbl 1212.15014 Math. Numer. Sin. 31, No. 3, 225-230 (2009). MSC: 15A09 15A03 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Liu}, Math. Numer. Sin. 31, No. 3, 225--230 (2009; Zbl 1212.15014)
Cvetkovic Ilic, Dragana; Liu, Xiaoji; Zhong, Jin On the \((p,q)\) outer generalized inverse in Banach algebra. (English) Zbl 1167.65022 Appl. Math. Comput. 209, No. 2, 191-196 (2009). Reviewer: Martín Argerami (Regina) MSC: 65J10 47B48 15A09 47A05 47A62 PDFBibTeX XMLCite \textit{D. Cvetkovic Ilic} et al., Appl. Math. Comput. 209, No. 2, 191--196 (2009; Zbl 1167.65022) Full Text: DOI
Liu, Xiaoji; Yu, Yaoming; Wang, Hongxing Determinantal representation of weighted generalized inverses. (English) Zbl 1160.15006 Appl. Math. Comput. 208, No. 2, 556-563 (2009). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 15A15 65F40 PDFBibTeX XMLCite \textit{X. Liu} et al., Appl. Math. Comput. 208, No. 2, 556--563 (2009; Zbl 1160.15006) Full Text: DOI
Xie, Zhongzhou; Liu, Xiaoji General solutions to two pairs of quaternion matrix equations. (Chinese. English summary) Zbl 1199.15054 J. Shandong Univ., Nat. Sci. 43, No. 12, 40-47 (2008). MSC: 15A24 15B33 PDFBibTeX XMLCite \textit{Z. Xie} and \textit{X. Liu}, J. Shandong Univ., Nat. Sci. 43, No. 12, 40--47 (2008; Zbl 1199.15054)
Liu, Xiaoji The partial ordering of antisymmetric matrices and their squares. (Chinese. English summary) Zbl 1199.15092 J. Qufu Norm. Univ., Nat. Sci. 34, No. 1, 29-32 (2008). MSC: 15B48 15A18 PDFBibTeX XMLCite \textit{X. Liu}, J. Qufu Norm. Univ., Nat. Sci. 34, No. 1, 29--32 (2008; Zbl 1199.15092)
Zhong, Jin; Liu, Xiaoji Integral representation of the generalized inverse of Hilbert space operators. (Chinese. English summary) Zbl 1199.47162 Math. Pract. Theory 38, No. 20, 185-188 (2008). MSC: 47B38 15A09 PDFBibTeX XMLCite \textit{J. Zhong} and \textit{X. Liu}, Math. Pract. Theory 38, No. 20, 185--188 (2008; Zbl 1199.47162)
Zhong, Jin; Liu, Xiaoji A representation of the generalized inverse \(A^{(2)}_{T,S}\) of Hilbert space operators and their applications. (Chinese. English summary) Zbl 1174.47304 J. Shandong Univ., Nat. Sci. 43, No. 3, 54-57 (2008). MSC: 47A05 15A09 PDFBibTeX XMLCite \textit{J. Zhong} and \textit{X. Liu}, J. Shandong Univ., Nat. Sci. 43, No. 3, 54--57 (2008; Zbl 1174.47304)
Merikoski, Jorma K.; Liu, Xiaoji On rank subtractivity between normal matrices. (English) Zbl 1166.15012 JIPAM, J. Inequal. Pure Appl. Math. 9, No. 1, Paper No. 4, 8 p. (2008). Reviewer: John D. Dixon (Ottawa) MSC: 15B48 15A45 15A18 15A03 15B57 PDFBibTeX XMLCite \textit{J. K. Merikoski} and \textit{X. Liu}, JIPAM, J. Inequal. Pure Appl. Math. 9, No. 1, Paper No. 4, 8 p. (2008; Zbl 1166.15012) Full Text: EuDML EMIS
Liu, Xiaoji The value partial ordering of matrices. (Chinese. English summary) Zbl 1174.15360 Math. Pract. Theory 38, No. 2, 108-114 (2008). MSC: 15B48 15A18 15A09 PDFBibTeX XMLCite \textit{X. Liu}, Math. Pract. Theory 38, No. 2, 108--114 (2008; Zbl 1174.15360)
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji; Trenkler, Götz Further results on generalized and hypergeneralized projectors. (English) Zbl 1151.15022 Linear Algebra Appl. 429, No. 5-6, 1038-1050 (2008). MSC: 15B57 15A45 15A09 15B48 PDFBibTeX XMLCite \textit{J. K. Baksalary} et al., Linear Algebra Appl. 429, No. 5--6, 1038--1050 (2008; Zbl 1151.15022) Full Text: DOI