Zhu, Huihui The \((b, c)\)-core inverse and its dual in semigroups with involution. (English) Zbl 07784734 J. Pure Appl. Algebra 228, No. 4, Article ID 107526, 12 p. (2024). MSC: 16W10 16D25 16U60 15A09 PDFBibTeX XMLCite \textit{H. Zhu}, J. Pure Appl. Algebra 228, No. 4, Article ID 107526, 12 p. (2024; Zbl 07784734) Full Text: DOI
Athira, Satheesh Kakkadan; Kamaraj, Kaliappan; Johnson, P. S. Algebraic proofs of characterizing reverse order law for closed range operators in Hilbert spaces. (English) Zbl 07823357 Eurasian Math. J. 14, No. 3, 8-25 (2023). MSC: 47A05 15A09 PDFBibTeX XMLCite \textit{S. K. Athira} et al., Eurasian Math. J. 14, No. 3, 8--25 (2023; Zbl 07823357) Full Text: DOI MNR
Das, Sourav; Sahoo, Jajati Keshari; Behera, Ratikanta Further results on weighted core inverse in a ring. (English) Zbl 07782044 Linear Multilinear Algebra 71, No. 18, 2915-2934 (2023). MSC: 16W10 15A09 PDFBibTeX XMLCite \textit{S. Das} et al., Linear Multilinear Algebra 71, No. 18, 2915--2934 (2023; Zbl 07782044) Full Text: DOI arXiv
Mosić, Dijana Weighted generalized Moore-Penrose inverse. (English) Zbl 07772828 Georgian Math. J. 30, No. 6, 919-932 (2023). Reviewer: K. C. Sivakumar (Chennai) MSC: 47A05 47A62 47A50 47A08 47B02 PDFBibTeX XMLCite \textit{D. Mosić}, Georgian Math. J. 30, No. 6, 919--932 (2023; Zbl 07772828) Full Text: DOI
Ji, Jun The full rank expressions for the \(W\)-weighted Drazin and core-EP inverse of a matrix and their applications. (English) Zbl 1522.15003 J. Appl. Math. Comput. 69, No. 3, 2775-2794 (2023). MSC: 15A09 15A24 15A23 PDFBibTeX XMLCite \textit{J. Ji}, J. Appl. Math. Comput. 69, No. 3, 2775--2794 (2023; Zbl 1522.15003) Full Text: DOI
Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag \(W\)-MPD-\(N\)-DMP-solutions of constrained quaternion matrix equations. (English) Zbl 1519.15016 Spec. Matrices 11, Article ID 2022-0183, 21 p. (2023). MSC: 15A24 15A09 15A15 15B33 PDFBibTeX XMLCite \textit{I. I. Kyrchei} et al., Spec. Matrices 11, Article ID 2022--0183, 21 p. (2023; Zbl 1519.15016) Full Text: DOI
Morillas, Patricia Mariela Expressions and characterizations for the Moore-Penrose inverse of operators and matrices. (English) Zbl 07692352 Electron. J. Linear Algebra 39, 214-241 (2023). MSC: 47A05 47B02 15A09 15B05 05C50 PDFBibTeX XMLCite \textit{P. M. Morillas}, Electron. J. Linear Algebra 39, 214--241 (2023; Zbl 07692352) Full Text: arXiv Link
Ferreyra, D. E.; Orquera, V.; Thome, N. Representations of the weighted WG inverse and a rank equation’s solution. (English) Zbl 1514.15009 Linear Multilinear Algebra 71, No. 2, 226-241 (2023). MSC: 15A09 PDFBibTeX XMLCite \textit{D. E. Ferreyra} et al., Linear Multilinear Algebra 71, No. 2, 226--241 (2023; Zbl 1514.15009) Full Text: DOI
Baksalary, Oskar Maria; Sivakumar, K. C.; Trenkler, Götz On the Moore-Penrose inverse of a sum of matrices. (English) Zbl 1518.15002 Linear Multilinear Algebra 71, No. 2, 133-149 (2023). MSC: 15A09 15A10 15A24 15B57 PDFBibTeX XMLCite \textit{O. M. Baksalary} et al., Linear Multilinear Algebra 71, No. 2, 133--149 (2023; Zbl 1518.15002) Full Text: DOI
Ferreyra, D. E.; Thome, N.; Torigino, C. The \(W\)-weighted BT inverse. (English) Zbl 1514.15010 Quaest. Math. 46, No. 2, 359-374 (2023). MSC: 15A09 PDFBibTeX XMLCite \textit{D. E. Ferreyra} et al., Quaest. Math. 46, No. 2, 359--374 (2023; Zbl 1514.15010) Full Text: DOI
Wang, Hongxing; Liu, Na The C-S inverse and its applications. (English) Zbl 1512.15005 Bull. Malays. Math. Sci. Soc. (2) 46, No. 3, Paper No. 90, 23 p. (2023). MSC: 15A09 06A06 PDFBibTeX XMLCite \textit{H. Wang} and \textit{N. Liu}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 3, Paper No. 90, 23 p. (2023; Zbl 1512.15005) Full Text: DOI
Purushothama, Divya Shenoy A determinantal representation of core EP inverse. (English) Zbl 1524.15009 Aust. J. Math. Anal. Appl. 20, No. 1, Paper No. 11, 8 p. (2023). MSC: 15A09 15A15 PDFBibTeX XMLCite \textit{D. S. Purushothama}, Aust. J. Math. Anal. Appl. 20, No. 1, Paper No. 11, 8 p. (2023; Zbl 1524.15009) Full Text: Link
Jia, Boting Compact perturbations of Moore-Penrose invertible operators. (English) Zbl 07668612 J. Math. Anal. Appl. 523, No. 2, Article ID 127048, 10 p. (2023). Reviewer: Maryam Amyari (Mashhad) MSC: 47A05 47A55 47B02 PDFBibTeX XMLCite \textit{B. Jia}, J. Math. Anal. Appl. 523, No. 2, Article ID 127048, 10 p. (2023; Zbl 07668612) Full Text: DOI
Mosić, Dijana; Zhang, Daochang; Hu, Jianping Wg-Drazin-star operator and its dual. (English) Zbl 1521.47031 Math. Slovaca 73, No. 1, 159-176 (2023). MSC: 47A62 47A05 47B02 PDFBibTeX XMLCite \textit{D. Mosić} et al., Math. Slovaca 73, No. 1, 159--176 (2023; Zbl 1521.47031) Full Text: DOI
Mosić, Dijana; Marovt, Janko Weighted weak core inverse of operators. (English) Zbl 1525.47002 Linear Multilinear Algebra 70, No. 20, 4991-5013 (2022). Reviewer: Kamran Sharifi (Shahrood) MSC: 47A05 47A62 15A09 PDFBibTeX XMLCite \textit{D. Mosić} and \textit{J. Marovt}, Linear Multilinear Algebra 70, No. 20, 4991--5013 (2022; Zbl 1525.47002) Full Text: DOI
Tian, Yongge Characterizations of the group invertibility of a matrix revisited. (English) Zbl 1504.15015 Demonstr. Math. 55, 866-890 (2022). MSC: 15A09 15A24 15A45 PDFBibTeX XMLCite \textit{Y. Tian}, Demonstr. Math. 55, 866--890 (2022; Zbl 1504.15015) Full Text: DOI
Kumar, Amit; Shekhar, Vaibhav; Mishra, Debasisha \(W\)-weighted GDMP inverse for rectangular matrices. (English) Zbl 1500.15002 Electron. J. Linear Algebra 38, 632-654 (2022). MSC: 15A09 PDFBibTeX XMLCite \textit{A. Kumar} et al., Electron. J. Linear Algebra 38, 632--654 (2022; Zbl 1500.15002) Full Text: Link
Hernández, M. V.; Lattanzi, M. B.; Thome, N. On 2MP-, MP2- and C2MP-inverses for rectangular matrices. (English) Zbl 1500.15001 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 4, Paper No. 156, 12 p. (2022). MSC: 15A09 15A24 PDFBibTeX XMLCite \textit{M. V. Hernández} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 4, Paper No. 156, 12 p. (2022; Zbl 1500.15001) Full Text: DOI
Višnjić, Jelena Additive properties of the Drazin inverse for matrices and block representations: a survey. (English) Zbl 1513.15008 Facta Univ., Ser. Math. Inf. 37, No. 2, 417-437 (2022). MSC: 15A09 PDFBibTeX XMLCite \textit{J. Višnjić}, Facta Univ., Ser. Math. Inf. 37, No. 2, 417--437 (2022; Zbl 1513.15008) Full Text: DOI
Kara, Abdessalam; Guedjiba, Said Some representations of Moore-Penrose inverse for the sum of two operators and the extension of the Fill-Fishkind formula. (English) Zbl 1497.15009 Numer. Algebra Control Optim. 12, No. 3, 469-480 (2022). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 47A05 PDFBibTeX XMLCite \textit{A. Kara} and \textit{S. Guedjiba}, Numer. Algebra Control Optim. 12, No. 3, 469--480 (2022; Zbl 1497.15009) Full Text: DOI
Ma, Haifeng Displacement structure of the core inverse. (English) Zbl 1491.15008 Linear Multilinear Algebra 70, No. 2, 203-214 (2022). Reviewer: John D. Dixon (Ottawa) MSC: 15A09 15A45 PDFBibTeX XMLCite \textit{H. Ma}, Linear Multilinear Algebra 70, No. 2, 203--214 (2022; Zbl 1491.15008) Full Text: DOI
Stojanović, Katarina S.; Mosić, Dijana Weighted MPCEP inverse of an operator between Hilbert spaces. (English) Zbl 07499352 Bull. Iran. Math. Soc. 48, No. 1, 53-71 (2022). Reviewer: Mohammed Karmouni (Safi) MSC: 47A62 47A05 15A09 PDFBibTeX XMLCite \textit{K. S. Stojanović} and \textit{D. Mosić}, Bull. Iran. Math. Soc. 48, No. 1, 53--71 (2022; Zbl 07499352) Full Text: DOI
Stanimirović, Predrag S.; Mosić, Dijana; Ma, Haifeng New classes of more general weighted outer inverses. (English) Zbl 1487.15008 Linear Multilinear Algebra 70, No. 1, 122-147 (2022). Reviewer: Zhen Chao (Milwaukee) MSC: 15A09 65F20 PDFBibTeX XMLCite \textit{P. S. Stanimirović} et al., Linear Multilinear Algebra 70, No. 1, 122--147 (2022; Zbl 1487.15008) Full Text: DOI
Ji, Jun; Wei, Yimin The core-EP, weighted core-EP inverse of matrices and constrained systems of linear equations. (English) Zbl 1513.15005 Commun. Math. Res. 37, No. 1, 86-112 (2021). MSC: 15A06 15A09 PDFBibTeX XMLCite \textit{J. Ji} and \textit{Y. Wei}, Commun. Math. Res. 37, No. 1, 86--112 (2021; Zbl 1513.15005) Full Text: DOI
Qin, Yingying; Xiong, Zhiping; Zhou, Wanna On the Drazin inverse and m-P inverse for sum of matrices. (English) Zbl 1480.15003 Oper. Matrices 15, No. 1, 209-223 (2021). Reviewer: Chen Sheng (Harbin) MSC: 15A09 15A24 65F05 PDFBibTeX XMLCite \textit{Y. Qin} et al., Oper. Matrices 15, No. 1, 209--223 (2021; Zbl 1480.15003) Full Text: DOI
Zhou, Mengmeng; Chen, Jianlong; Thome, Néstor The W-weighted Drazin-star matrix and its dual. (English) Zbl 1465.15009 Electron. J. Linear Algebra 37, 72-87 (2021). MSC: 15A10 15A09 15A06 PDFBibTeX XMLCite \textit{M. Zhou} et al., Electron. J. Linear Algebra 37, 72--87 (2021; Zbl 1465.15009) Full Text: Link
Xiong, Zhiping; Zhou, Wanna Some additive results on m-P inverse of operator product. (English) Zbl 1521.47003 Asian-Eur. J. Math. 14, No. 1, Article ID 2050145, 11 p. (2021). Reviewer: K. C. Sivakumar (Chennai) MSC: 47A05 15A09 15A24 PDFBibTeX XMLCite \textit{Z. Xiong} and \textit{W. Zhou}, Asian-Eur. J. Math. 14, No. 1, Article ID 2050145, 11 p. (2021; Zbl 1521.47003) Full Text: DOI
Wang, Hongxing; Zhang, Xiaoyan The core inverse and constrained matrix approximation problem. (English) Zbl 1478.15009 Open Math. 18, 653-661 (2020). MSC: 15A10 15A06 65F10 65F20 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Zhang}, Open Math. 18, 653--661 (2020; Zbl 1478.15009) Full Text: DOI arXiv
Mosić, Dijana; Stanimirović, Predrag S.; Katsikis, Vasilios N. Solvability of some constrained matrix approximation problems using core-EP inverses. (English) Zbl 1476.15006 Comput. Appl. Math. 39, No. 4, Paper No. 311, 21 p. (2020). MSC: 15A09 15A24 65F05 PDFBibTeX XMLCite \textit{D. Mosić} et al., Comput. Appl. Math. 39, No. 4, Paper No. 311, 21 p. (2020; Zbl 1476.15006) Full Text: DOI
Ahmed, Beinane Sid; Mahmoud, Sid Ahmed Ould Ahmed On the class of \(n\)-power \(D\)-\(m\)-quasi-normal operators on Hilbert spaces. (English) Zbl 1512.47037 Oper. Matrices 14, No. 1, 159-174 (2020). MSC: 47B15 47B20 47A15 PDFBibTeX XMLCite \textit{B. S. Ahmed} and \textit{S. A. O. A. Mahmoud}, Oper. Matrices 14, No. 1, 159--174 (2020; Zbl 1512.47037) Full Text: DOI
Gao, Yuefeng; Chen, Jianlong; Patrício, Pedro Representations and properties of the \(W\)-weighted core-EP inverse. (English) Zbl 1473.15009 Linear Multilinear Algebra 68, No. 6, 1160-1174 (2020). MSC: 15A09 15A10 65F20 68Q25 PDFBibTeX XMLCite \textit{Y. Gao} et al., Linear Multilinear Algebra 68, No. 6, 1160--1174 (2020; Zbl 1473.15009) Full Text: DOI arXiv
Mosić, Dijana Maximal classes of operators determining some weighted generalized inverses. (English) Zbl 1520.47003 Linear Multilinear Algebra 68, No. 11, 2201-2220 (2020). MSC: 47A05 47B02 PDFBibTeX XMLCite \textit{D. Mosić}, Linear Multilinear Algebra 68, No. 11, 2201--2220 (2020; Zbl 1520.47003) Full Text: DOI
Behera, Ratikanta; Maharana, Gayatri; Sahoo, Jajati Keshari Further results on weighted core-EP inverse of matrices. (English) Zbl 1453.15002 Result. Math. 75, No. 4, Paper No. 174, 20 p. (2020). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 15A10 15A24 15A30 PDFBibTeX XMLCite \textit{R. Behera} et al., Result. Math. 75, No. 4, Paper No. 174, 20 p. (2020; Zbl 1453.15002) Full Text: DOI arXiv
Kyrchei, Ivan Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations. (English) Zbl 1451.15005 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 4, Paper No. 198, 26 p. (2020). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 15A10 15A15 15B33 PDFBibTeX XMLCite \textit{I. Kyrchei}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 4, Paper No. 198, 26 p. (2020; Zbl 1451.15005) Full Text: DOI
Kyrchei, Ivan I. Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses. (English) Zbl 1450.15005 J. Math. 2020, Article ID 9816038, 12 p. (2020). MSC: 15A09 15A10 PDFBibTeX XMLCite \textit{I. I. Kyrchei}, J. Math. 2020, Article ID 9816038, 12 p. (2020; Zbl 1450.15005) Full Text: DOI
Meng, Lingsheng; Zheng, Bing; Wei, Yimin Condition numbers of the multidimensional total least squares problems having more than one solution. (English) Zbl 1451.65045 Numer. Algorithms 84, No. 3, 887-908 (2020). Reviewer: Constantin Popa (Constanţa) MSC: 65F35 65F20 PDFBibTeX XMLCite \textit{L. Meng} et al., Numer. Algorithms 84, No. 3, 887--908 (2020; Zbl 1451.65045) Full Text: DOI
Ma, Haifeng; Gao, Xiaoshuang; Stanimirović, Predrag S. Characterizations, iterative method, sign pattern and perturbation analysis for the DMP inverse with its applications. (English) Zbl 1488.65083 Appl. Math. Comput. 378, Article ID 125196, 18 p. (2020). MSC: 65F20 15A10 PDFBibTeX XMLCite \textit{H. Ma} et al., Appl. Math. Comput. 378, Article ID 125196, 18 p. (2020; Zbl 1488.65083) Full Text: DOI
Drazin, Michael P. Weighted \((b,c)\)-inverses in categories and semigroups. (English) Zbl 1466.18003 Commun. Algebra 48, No. 4, 1423-1438 (2020). Reviewer: Peeter Normak (Tallinn) MSC: 18A99 20M50 15A09 06A11 PDFBibTeX XMLCite \textit{M. P. Drazin}, Commun. Algebra 48, No. 4, 1423--1438 (2020; Zbl 1466.18003) Full Text: DOI
Sahoo, Jajati Keshari; Behera, Ratikanta; Stanimirović, Predrag S.; Katsikis, Vasilios N.; Ma, Haifeng Core and core-EP inverses of tensors. (English) Zbl 1449.15061 Comput. Appl. Math. 39, No. 1, Paper No. 9, 28 p. (2020). MSC: 15A69 15A09 PDFBibTeX XMLCite \textit{J. K. Sahoo} et al., Comput. Appl. Math. 39, No. 1, Paper No. 9, 28 p. (2020; Zbl 1449.15061) Full Text: DOI arXiv
Mosić, Dijana; Wang, Long Weighted extended \(g\)-Drazin inverse. (English) Zbl 1447.46037 Aequationes Math. 94, No. 1, 151-161 (2020). MSC: 46H05 46H99 15A09 PDFBibTeX XMLCite \textit{D. Mosić} and \textit{L. Wang}, Aequationes Math. 94, No. 1, 151--161 (2020; Zbl 1447.46037) Full Text: DOI
Chen, Jianlong; Chen, Xiaofeng; Zguitti, Hassane On the weighted pseudo Drazin invertible elements in associative rings and Banach algebras. (English) Zbl 1524.46058 Filomat 33, No. 19, 6359-6367 (2019). MSC: 46H05 47A05 PDFBibTeX XMLCite \textit{J. Chen} et al., Filomat 33, No. 19, 6359--6367 (2019; Zbl 1524.46058) Full Text: DOI
Nakonechniy, O. G.; Zinko, T. P.; Kudin, G. I. Formulas of perturbation for one class of pseudo inverse operators. (English) Zbl 1432.15003 Mat. Stud. 52, No. 2, 124-132 (2019). MSC: 15A10 15A09 47A55 PDFBibTeX XMLCite \textit{O. G. Nakonechniy} et al., Mat. Stud. 52, No. 2, 124--132 (2019; Zbl 1432.15003) Full Text: DOI
Ferreyra, D. E.; Orquera, V.; Thome, N. A weak group inverse for rectangular matrices. (English) Zbl 1436.15003 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3727-3740 (2019). Reviewer: Kamran Sharifi (Shahrood) MSC: 15A09 15A24 PDFBibTeX XMLCite \textit{D. E. Ferreyra} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3727--3740 (2019; Zbl 1436.15003) Full Text: DOI Link
Mosić, Dijana; Kolundžija, Milica Z. Weighted CMP inverse of an operator between Hilbert spaces. (English) Zbl 07092234 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2155-2173 (2019). MSC: 47A05 47A62 15A09 PDFBibTeX XMLCite \textit{D. Mosić} and \textit{M. Z. Kolundžija}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2155--2173 (2019; Zbl 07092234) Full Text: DOI
Mosić, Dijana; Djordjević, Dragan S. Weighted outer inverse. (English) Zbl 07004942 Monatsh. Math. 188, No. 2, 297-307 (2019). MSC: 47A05 15A09 PDFBibTeX XMLCite \textit{D. Mosić} and \textit{D. S. Djordjević}, Monatsh. Math. 188, No. 2, 297--307 (2019; Zbl 07004942) Full Text: DOI
Mosić, Dijana Weighted core-EP inverse of an operator between Hilbert spaces. (English) Zbl 07001303 Linear Multilinear Algebra 67, No. 2, 278-298 (2019). MSC: 47A05 47A99 15A09 PDFBibTeX XMLCite \textit{D. Mosić}, Linear Multilinear Algebra 67, No. 2, 278--298 (2019; Zbl 07001303) Full Text: DOI
Qiao, Sanzheng; Wang, Xue-Zhong; Wei, Yimin Two finite-time convergent Zhang neural network models for time-varying complex matrix Drazin inverse. (English) Zbl 1415.15007 Linear Algebra Appl. 542, 101-117 (2018). MSC: 15A09 65F20 92B20 PDFBibTeX XMLCite \textit{S. Qiao} et al., Linear Algebra Appl. 542, 101--117 (2018; Zbl 1415.15007) Full Text: DOI
Coll, C.; Lattanzi, M.; Thome, N. Weighted G-Drazin inverses and a new pre-order on rectangular matrices. (English) Zbl 1426.15003 Appl. Math. Comput. 317, 12-24 (2018). MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{C. Coll} et al., Appl. Math. Comput. 317, 12--24 (2018; Zbl 1426.15003) Full Text: DOI Link
Castro-González, Nieves; Hartwig, Robert E. Perturbation results and the forward order law for the Moore-Penrose inverse of a product. (English) Zbl 1405.15007 Electron. J. Linear Algebra 34, 514-525 (2018). MSC: 15A09 15A23 15A24 PDFBibTeX XMLCite \textit{N. Castro-González} and \textit{R. E. Hartwig}, Electron. J. Linear Algebra 34, 514--525 (2018; Zbl 1405.15007)
Mosić, Dijana Weighted gDMP inverse of operators between Hilbert spaces. (English) Zbl 1486.47004 Bull. Korean Math. Soc. 55, No. 4, 1263-1271 (2018). MSC: 47A05 47B02 PDFBibTeX XMLCite \textit{D. Mosić}, Bull. Korean Math. Soc. 55, No. 4, 1263--1271 (2018; Zbl 1486.47004) Full Text: Link
Mosić, Dijana The CMP inverse for rectangular matrices. (English) Zbl 1394.15003 Aequationes Math. 92, No. 4, 649-659 (2018). MSC: 15A09 PDFBibTeX XMLCite \textit{D. Mosić}, Aequationes Math. 92, No. 4, 649--659 (2018; Zbl 1394.15003) Full Text: DOI
Dana, Mansour; Yousefi, R. Formulas for the Drazin inverse of matrices with new conditions and its applications. (English) Zbl 1383.15004 Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 4, 9 p. (2018). MSC: 15A09 PDFBibTeX XMLCite \textit{M. Dana} and \textit{R. Yousefi}, Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 4, 9 p. (2018; Zbl 1383.15004) Full Text: DOI
Meng, Lingsheng The DMP inverse for rectangular matrices. (English) Zbl 1499.15011 Filomat 31, No. 19, 6015-6019 (2017). MSC: 15A09 15A24 PDFBibTeX XMLCite \textit{L. Meng}, Filomat 31, No. 19, 6015--6019 (2017; Zbl 1499.15011) Full Text: DOI
Wang, Xue-Zhong; Ma, Hai-Feng; Cvetković, Marija A note on the perturbation bounds of \(W\)-weighted Drazin inverse of linear operator in Banach space. (English) Zbl 1495.47005 Filomat 31, No. 2, 505-511 (2017). MSC: 47A05 47A55 PDFBibTeX XMLCite \textit{X.-Z. Wang} et al., Filomat 31, No. 2, 505--511 (2017; Zbl 1495.47005) Full Text: DOI
Wang, Xue-Zhong; Ma, Haifeng; Stanimirović, Predrag S. Recurrent neural network for computing the \(W\)-weighted Drazin inverse. (English) Zbl 1411.65064 Appl. Math. Comput. 300, 1-20 (2017). MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{X.-Z. Wang} et al., Appl. Math. Comput. 300, 1--20 (2017; Zbl 1411.65064) Full Text: DOI
Mosić, Dijana Weighted pre-orders in a Banach algebra. (English) Zbl 1381.46037 Linear Algebra Appl. 533, 161-185 (2017). Reviewer: Mart Abel (Tartu) MSC: 46H05 15A09 18B35 15A30 54F05 PDFBibTeX XMLCite \textit{D. Mosić}, Linear Algebra Appl. 533, 161--185 (2017; Zbl 1381.46037) Full Text: DOI
Song, Juan; Song, Yongzhong USSOR methods for solving the rank deficient linear least squares problem. (English) Zbl 1372.65116 Calcolo 54, No. 1, 95-115 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65F10 PDFBibTeX XMLCite \textit{J. Song} and \textit{Y. Song}, Calcolo 54, No. 1, 95--115 (2017; Zbl 1372.65116) Full Text: DOI
Stanimirović, Predrag S.; Katsikis, Vasilios N.; Ma, Haifeng Representations and properties of the \(W\)-weighted Drazin inverse. (English) Zbl 1360.15007 Linear Multilinear Algebra 65, No. 6, 1080-1096 (2017). MSC: 15A09 65F20 PDFBibTeX XMLCite \textit{P. S. Stanimirović} et al., Linear Multilinear Algebra 65, No. 6, 1080--1096 (2017; Zbl 1360.15007) Full Text: DOI
Hernández, A.; Lattanzi, M.; Thome, N. On some new pre-orders defined by weighted Drazin inverses. (English) Zbl 1410.15006 Appl. Math. Comput. 282, 108-116 (2016). MSC: 15A09 06A06 PDFBibTeX XMLCite \textit{A. Hernández} et al., Appl. Math. Comput. 282, 108--116 (2016; Zbl 1410.15006) Full Text: DOI Link
Stanimirović, Predrag S.; Katsikis, Vasilios N.; Pappas, Dimitrios Computing \(\{2,4\}\) and \(\{2,3\}\)-inverses by using the Sherman-Morrison formula. (English) Zbl 1410.15014 Appl. Math. Comput. 273, 584-603 (2016). MSC: 15A09 PDFBibTeX XMLCite \textit{P. S. Stanimirović} et al., Appl. Math. Comput. 273, 584--603 (2016; Zbl 1410.15014) Full Text: DOI
Kyrchei, Ivan I. Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field. (English) Zbl 1400.15009 Math. Probl. Eng. 2016, Article ID 8673809, 13 p. (2016). MSC: 15A09 15A24 PDFBibTeX XMLCite \textit{I. I. Kyrchei}, Math. Probl. Eng. 2016, Article ID 8673809, 13 p. (2016; Zbl 1400.15009) Full Text: DOI
Wang, Xue-Zhong; Ma, Hai-Feng; Radenković, Jovana Nikolov A note on the perturbation bounds of \(W\)-weighted Drazin inverse. (English) Zbl 1358.15004 Linear Multilinear Algebra 64, No. 10, 1960-1971 (2016). Reviewer: Chen Sheng (Harbin) MSC: 15A09 65F20 15A21 15A12 PDFBibTeX XMLCite \textit{X.-Z. Wang} et al., Linear Multilinear Algebra 64, No. 10, 1960--1971 (2016; Zbl 1358.15004) Full Text: DOI
Deng, Chun Yuan On the group invertibility of operators. (English) Zbl 1354.15002 Electron. J. Linear Algebra 31, 492-510 (2016). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 47A05 PDFBibTeX XMLCite \textit{C. Y. Deng}, Electron. J. Linear Algebra 31, 492--510 (2016; Zbl 1354.15002) Full Text: DOI
Abdikalykov, A. K.; Ikramov, Kh. D.; Chugunov, Vadim N. A duality relation for unitary automorphisms in the spaces of Toeplitz and Hankel matrices. (English. Russian original) Zbl 1341.15021 Math. Notes 99, No. 1, 3-8 (2016); translation from Mat. Zametki 99, No. 1, 3-10 (2016). MSC: 15B05 15A30 15B10 PDFBibTeX XMLCite \textit{A. K. Abdikalykov} et al., Math. Notes 99, No. 1, 3--8 (2016; Zbl 1341.15021); translation from Mat. Zametki 99, No. 1, 3--10 (2016) Full Text: DOI
Kyrchei, Ivan Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field. (English) Zbl 1410.15009 Appl. Math. Comput. 264, 453-465 (2015). MSC: 15A09 15B33 PDFBibTeX XMLCite \textit{I. Kyrchei}, Appl. Math. Comput. 264, 453--465 (2015; Zbl 1410.15009) Full Text: DOI arXiv
Mary, X. Reverse order law for the group inverse in semigroups and rings. (English) Zbl 1323.15003 Commun. Algebra 43, No. 6, 2492-2508 (2015). Reviewer: John D. Dixon (Ottawa) MSC: 15A09 20M17 16P70 PDFBibTeX XMLCite \textit{X. Mary}, Commun. Algebra 43, No. 6, 2492--2508 (2015; Zbl 1323.15003) Full Text: DOI
Zeng, Qingping; Zhong, Huaijie New results on common properties of the products \(AC\) and \(BA\). (English) Zbl 1327.47001 J. Math. Anal. Appl. 427, No. 2, 830-840 (2015). Reviewer: Manuel González (Santander) MSC: 47A05 47A10 47A53 PDFBibTeX XMLCite \textit{Q. Zeng} and \textit{H. Zhong}, J. Math. Anal. Appl. 427, No. 2, 830--840 (2015; Zbl 1327.47001) Full Text: DOI
Zheng, Yutao; Zheng, Bing; Xiong, Zhiping The least squares \(g\)-inverse for the sum of multiple matrices. (English) Zbl 1410.15015 Appl. Math. Comput. 231, 591-600 (2014). MSC: 15A09 PDFBibTeX XMLCite \textit{Y. Zheng} et al., Appl. Math. Comput. 231, 591--600 (2014; Zbl 1410.15015) Full Text: DOI
Zhu, Huihui; Chen, Jianlong; Zhang, Xiaoxiang; Patrício, Pedro The Moore-Penrose inverse of \(2\times 2\) matrices over a certain \(\ast\)-regular ring. (English) Zbl 1338.15015 Appl. Math. Comput. 246, 263-267 (2014). MSC: 15A09 PDFBibTeX XMLCite \textit{H. Zhu} et al., Appl. Math. Comput. 246, 263--267 (2014; Zbl 1338.15015) Full Text: DOI
Rakić, Dragan S.; Dinčić, Nebojša Č.; Djordjević, Dragan S. Core inverse and core partial order of Hilbert space operators. (English) Zbl 1335.47002 Appl. Math. Comput. 244, 283-302 (2014). MSC: 47A05 PDFBibTeX XMLCite \textit{D. S. Rakić} et al., Appl. Math. Comput. 244, 283--302 (2014; Zbl 1335.47002) Full Text: DOI
Yan, Zi-Zong New representations of the Moore-Penrose inverse of \(2 \times 2\) block matrices. (English) Zbl 1293.15002 Linear Algebra Appl. 456, 3-15 (2014). MSC: 15A09 15A23 PDFBibTeX XMLCite \textit{Z.-Z. Yan}, Linear Algebra Appl. 456, 3--15 (2014; Zbl 1293.15002) Full Text: DOI
Dinčić, Nebojša Č.; Djordjević, Dragan S. Identities concerning the reverse order law for the Moore-Penrose inverse. (English) Zbl 1329.15014 Appl. Math. Comput. 220, 439-445 (2013). MSC: 15A09 PDFBibTeX XMLCite \textit{N. Č. Dinčić} and \textit{D. S. Djordjević}, Appl. Math. Comput. 220, 439--445 (2013; Zbl 1329.15014) Full Text: DOI
Xu, Qingxiang; Chen, Yonghao; Song, Chuanning Representations for weighted Moore-Penrose inverses of partitioned adjointable operators. (English) Zbl 1269.47003 Linear Algebra Appl. 438, No. 1, 10-30 (2013). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47A05 46L08 15A09 47A99 PDFBibTeX XMLCite \textit{Q. Xu} et al., Linear Algebra Appl. 438, No. 1, 10--30 (2013; Zbl 1269.47003) Full Text: DOI arXiv
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
Bu, Changjiang; Feng, Chengcheng; Dong, Pengfei A note on computational formulas for the Drazin inverse of certain block matrices. (English) Zbl 1295.65041 J. Appl. Math. Comput. 38, No. 1-2, 631-640 (2012). MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{C. Bu} et al., J. Appl. Math. Comput. 38, No. 1--2, 631--640 (2012; Zbl 1295.65041) Full Text: DOI
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
Patrício, P.; Hartwig, R. E. The \((2,2,0)\) Drazin inverse problem. (English) Zbl 1261.15008 Linear Algebra Appl. 437, No. 11, 2755-2772 (2012). Reviewer: Chen Sheng (Harbin) MSC: 15A09 PDFBibTeX XMLCite \textit{P. Patrício} and \textit{R. E. Hartwig}, Linear Algebra Appl. 437, No. 11, 2755--2772 (2012; Zbl 1261.15008) Full Text: DOI
Stanimirović, Predrag S.; Pappas, Dimitrios; Katsikis, Vasilios N.; Stanimirović, Ivan P. Full-rank representations of outer inverses based on the QR decomposition. (English) Zbl 1246.65067 Appl. Math. Comput. 218, No. 20, 10321-10333 (2012). MSC: 65F20 PDFBibTeX XMLCite \textit{P. S. Stanimirović} et al., Appl. Math. Comput. 218, No. 20, 10321--10333 (2012; Zbl 1246.65067) Full Text: DOI
Mosić, Dijana; Djordjević, Dragan S. Some results on the reverse order law in rings with involution. (English) Zbl 1257.15004 Aequationes Math. 83, No. 3, 271-282 (2012). Reviewer: Matej Brešar (Maribor) MSC: 15A09 16W10 PDFBibTeX XMLCite \textit{D. Mosić} and \textit{D. S. Djordjević}, Aequationes Math. 83, No. 3, 271--282 (2012; Zbl 1257.15004) Full Text: DOI
Lorchirachoonkul, Vichit; Jitthavech, Jirawan A modified \(C_{p}\) statistic in a system-of-equations model. (English) Zbl 1244.62105 J. Stat. Plann. Inference 142, No. 8, 2386-2394 (2012). MSC: 62J12 62H12 PDFBibTeX XMLCite \textit{V. Lorchirachoonkul} and \textit{J. Jitthavech}, J. Stat. Plann. Inference 142, No. 8, 2386--2394 (2012; Zbl 1244.62105) Full Text: DOI
Auinger, Karl; Dolinka, Igor; Volkov, Mikhail V. Matrix identities involving multiplication and transposition. (English) Zbl 1261.20068 J. Eur. Math. Soc. (JEMS) 14, No. 3, 937-969 (2012). Reviewer: Aleksandr V. Tishchenko (Moskva) MSC: 20M07 16R10 16R20 20M20 15A24 03C05 PDFBibTeX XMLCite \textit{K. Auinger} et al., J. Eur. Math. Soc. (JEMS) 14, No. 3, 937--969 (2012; Zbl 1261.20068) Full Text: DOI arXiv
Drazin, Michael P. A class of outer generalized inverses. (English) Zbl 1254.15005 Linear Algebra Appl. 436, No. 7, 1909-1923 (2012). Reviewer: K. C. Sivakumar (Chennai) MSC: 15A09 06A11 16P99 20M99 PDFBibTeX XMLCite \textit{M. P. Drazin}, Linear Algebra Appl. 436, No. 7, 1909--1923 (2012; Zbl 1254.15005) Full Text: DOI
Baksalary, Oskar Maria; Trenkler, Götz On disjoint range matrices. (English) Zbl 1221.15005 Linear Algebra Appl. 435, No. 6, 1222-1240 (2011). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A03 15A09 15B57 PDFBibTeX XMLCite \textit{O. M. Baksalary} and \textit{G. Trenkler}, Linear Algebra Appl. 435, No. 6, 1222--1240 (2011; Zbl 1221.15005) Full Text: DOI
Xiong, Zhiping; Qin, Yingying Note on the weighted generalized inverse of the product of matrices. (English) Zbl 1217.15005 J. Appl. Math. Comput. 35, No. 1-2, 469-474 (2011). Reviewer: Cyril Fischer (Praha) MSC: 15A09 15A24 15B48 15B57 PDFBibTeX XMLCite \textit{Z. Xiong} and \textit{Y. Qin}, J. Appl. Math. Comput. 35, No. 1--2, 469--474 (2011; Zbl 1217.15005) Full Text: DOI
Bu, Changjiang; Zhao, Jiemei; Tang, Jiapei Representation of the Drazin inverse for special block matrix. (English) Zbl 1215.15003 Appl. Math. Comput. 217, No. 10, 4935-4943 (2011). Reviewer: Nestor Thome (Valencia) MSC: 15A09 65F20 PDFBibTeX XMLCite \textit{C. Bu} et al., Appl. Math. Comput. 217, No. 10, 4935--4943 (2011; Zbl 1215.15003) 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; Zhong, Jin Integral representation of the \(W\)-weighted Drazin inverse for Hilbert space operators. (English) Zbl 1191.47003 Appl. Math. Comput. 216, No. 11, 3228-3233 (2010). MSC: 47A05 PDFBibTeX XMLCite \textit{X. Liu} and \textit{J. Zhong}, Appl. Math. Comput. 216, No. 11, 3228--3233 (2010; Zbl 1191.47003) Full Text: DOI
Deng, Chunyuan; Cvetković-Ilić, Dragana S.; Wei, Yimin Some results on the generalized Drazin inverse of operator matrices. (English) Zbl 1196.15009 Linear Multilinear Algebra 58, No. 3-4, 503-521 (2010). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 47A08 47A05 PDFBibTeX XMLCite \textit{C. Deng} et al., Linear Multilinear Algebra 58, No. 3--4, 503--521 (2010; Zbl 1196.15009) Full Text: DOI
Sheng, Xingping; Chen, Guoliang The computation and perturbation analysis for weighted group inverse of rectangular matrices. (English) Zbl 1178.65039 J. Appl. Math. Comput. 31, No. 1-2, 33-43 (2009). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 65F20 15A09 15A24 PDFBibTeX XMLCite \textit{X. Sheng} and \textit{G. Chen}, J. Appl. Math. Comput. 31, No. 1--2, 33--43 (2009; Zbl 1178.65039) Full Text: DOI
Deng, Chunyuan; Wei, Yimin A note on the Drazin inverse of an anti-triangular matrix. (English) Zbl 1177.15003 Linear Algebra Appl. 431, No. 10, 1910-1922 (2009). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 47A05 15A60 PDFBibTeX XMLCite \textit{C. Deng} and \textit{Y. Wei}, Linear Algebra Appl. 431, No. 10, 1910--1922 (2009; Zbl 1177.15003) Full Text: DOI
Yu, Yaoming; Wei, Y. Determinantal representation of the generalized inverse \(A_{T,S}^{(2)}\) over integral domains and its applications. (English) Zbl 1182.15007 Linear Multilinear Algebra 57, No. 6, 547-559 (2009). Reviewer: Nestor Thome (Valencia) MSC: 15A09 15B33 15A06 PDFBibTeX XMLCite \textit{Y. Yu} and \textit{Y. Wei}, Linear Multilinear Algebra 57, No. 6, 547--559 (2009; Zbl 1182.15007) Full Text: DOI
Xu, Qingxiang Moore–Penrose inverses of partitioned adjointable operators on Hilbert \(C^*\)-modules. (English) Zbl 1166.47003 Linear Algebra Appl. 430, No. 11-12, 2929-2942 (2009). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47A05 46L08 15A09 PDFBibTeX XMLCite \textit{Q. Xu}, Linear Algebra Appl. 430, No. 11--12, 2929--2942 (2009; Zbl 1166.47003) 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
Griffin, Kent; Stuart, Jeffrey L.; Tsatsomeros, Michael J. Noncirculant Toeplitz matrices all of whose powers are Toeplitz. (English) Zbl 1174.15011 Czech. Math. J. 58, No. 4, 1185-1193 (2008). MSC: 15B57 15A15 11B39 11B37 15A09 PDFBibTeX XMLCite \textit{K. Griffin} et al., Czech. Math. J. 58, No. 4, 1185--1193 (2008; Zbl 1174.15011) Full Text: DOI EuDML Link
Chen, Jianbiao; Xu, Zhaoliang Representations for the weighted Drazin inverse of a modified matrix. (English) Zbl 1159.15004 Appl. Math. Comput. 203, No. 1, 202-209 (2008). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 15A12 PDFBibTeX XMLCite \textit{J. Chen} and \textit{Z. Xu}, Appl. Math. Comput. 203, No. 1, 202--209 (2008; Zbl 1159.15004) Full Text: DOI
Chen, Jueping; Xu, Zhaoliang Comment on “Condition number of \(W\)-weighted Drazin inverse and their condition numbers of singular linear systems”. (English) Zbl 1153.15301 J. Appl. Math. Comput. 27, No. 1-2, 421-435 (2008). MSC: 15A09 15A12 65F35 PDFBibTeX XMLCite \textit{J. Chen} and \textit{Z. Xu}, J. Appl. Math. Comput. 27, No. 1--2, 421--435 (2008; Zbl 1153.15301) Full Text: DOI
Yu, Yaoming PCR algorithm for parallel computing the solution of the general restricted linear equations. (English) Zbl 1155.65031 J. Appl. Math. Comput. 27, No. 1-2, 125-136 (2008). Reviewer: Srinivasan Natesan (Assam) MSC: 65F20 65Y05 15A09 65F05 65Y20 PDFBibTeX XMLCite \textit{Y. Yu}, J. Appl. Math. Comput. 27, No. 1--2, 125--136 (2008; Zbl 1155.65031) Full Text: DOI
Xu, Zhaoliang; Chen, Jianbiao Representations for the weighted Drazin inverse of a sum of matrices. (English) Zbl 1153.15008 J. Appl. Math. Comput. 26, No. 1-2, 517-533 (2008). Reviewer: Jinhai Chen (Hongkong) MSC: 15A09 65F20 PDFBibTeX XMLCite \textit{Z. Xu} and \textit{J. Chen}, J. Appl. Math. Comput. 26, No. 1--2, 517--533 (2008; Zbl 1153.15008) Full Text: DOI
Huang, Yanli; Song, Yongzhong AOR iterative methods for rank deficient least squares problems. (English) Zbl 1156.65028 J. Appl. Math. Comput. 26, No. 1-2, 105-124 (2008). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65F20 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{Y. Song}, J. Appl. Math. Comput. 26, No. 1--2, 105--124 (2008; Zbl 1156.65028) Full Text: DOI
Kılıçman, Adem; Zhour, Zeyad Abdel Aziz Al Vector least-squares solutions for coupled singular matrix equations. (English) Zbl 1132.65034 J. Comput. Appl. Math. 206, No. 2, 1051-1069 (2007). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65F30 15A24 15A69 15A09 65F20 65F10 PDFBibTeX XMLCite \textit{A. Kılıçman} and \textit{Z. A. A. A. Zhour}, J. Comput. Appl. Math. 206, No. 2, 1051--1069 (2007; Zbl 1132.65034) Full Text: DOI