Lu, Linzhang Constructing solutions of the Yang-Baxter-like matrix equation for singular matrices. (English) Zbl 07738653 J. Comput. Appl. Math. 436, Article ID 115403, 8 p. (2024). MSC: 15A24 16T25 PDFBibTeX XMLCite \textit{L. Lu}, J. Comput. Appl. Math. 436, Article ID 115403, 8 p. (2024; Zbl 07738653) Full Text: DOI
Li, Shigui; Chen, Zhen; Liu, Qilong; Lu, Linzhang Bounds of M-eigenvalues and strong ellipticity conditions for elasticity tensors. (English) Zbl 1512.15019 Linear Multilinear Algebra 70, No. 19, 4544-4557 (2022). MSC: 15A42 15A69 65F15 PDFBibTeX XMLCite \textit{S. Li} et al., Linear Multilinear Algebra 70, No. 19, 4544--4557 (2022; Zbl 1512.15019) Full Text: DOI
Lu, Linzhang Manifold expressions of all solutions of the Yang-Baxter-like matrix equation for rank-one matrices. (English) Zbl 1496.15011 Appl. Math. Lett. 132, Article ID 108175, 7 p. (2022). MSC: 15A24 16T25 PDFBibTeX XMLCite \textit{L. Lu}, Appl. Math. Lett. 132, Article ID 108175, 7 p. (2022; Zbl 1496.15011) Full Text: DOI
Li, Chun-Mei; Lu, Lin-Zhang; Chen, Zhen Iterative algorithm for the Q-weighted nonnegative matrix factorization. (English) Zbl 1476.15025 Linear Multilinear Algebra 69, No. 11, 2130-2142 (2021). MSC: 15A23 65F99 PDFBibTeX XMLCite \textit{C.-M. Li} et al., Linear Multilinear Algebra 69, No. 11, 2130--2142 (2021; Zbl 1476.15025) Full Text: DOI
Yang, Junjian; Lu, Linzhang Weighted geometric mean of two accretive matrices. (English) Zbl 1502.15014 Ann. Funct. Anal. 12, No. 1, Paper No. 19, 9 p. (2021). MSC: 15A45 15A60 PDFBibTeX XMLCite \textit{J. Yang} and \textit{L. Lu}, Ann. Funct. Anal. 12, No. 1, Paper No. 19, 9 p. (2021; Zbl 1502.15014) Full Text: DOI
Yang, Junjian; Lu, Linzhang; Chen, Zhen Some singular value inequalities related to linear maps. (English) Zbl 1499.15069 Filomat 34, No. 11, 3705-3709 (2020). MSC: 15A42 15A04 PDFBibTeX XMLCite \textit{J. Yang} et al., Filomat 34, No. 11, 3705--3709 (2020; Zbl 1499.15069) Full Text: DOI
Yang, Junjian; Lu, Linzhang New proofs on two recent inequalities for unitarily invariant norms. (English) Zbl 1503.15026 J. Inequal. Appl. 2020, Paper No. 133, 9 p. (2020). MSC: 15A45 15A60 47A63 47A30 PDFBibTeX XMLCite \textit{J. Yang} and \textit{L. Lu}, J. Inequal. Appl. 2020, Paper No. 133, 9 p. (2020; Zbl 1503.15026) Full Text: DOI
Yang, Junjian; Lu, Linzhang; Chen, Zhen Some inequalities related to \(2\times 2\) block sector partial transpose matrices. (English) Zbl 1503.15027 J. Inequal. Appl. 2020, Paper No. 90, 6 p. (2020). MSC: 15A45 15A60 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Inequal. Appl. 2020, Paper No. 90, 6 p. (2020; Zbl 1503.15027) Full Text: DOI
Yang, Junjian; Lu, Linzhang; Chen, Zhen A note on a conjectured singular value inequality related to a linear map. (English) Zbl 1464.15033 Oper. Matrices 14, No. 1, 265-269 (2020). MSC: 15A45 15A42 15A04 PDFBibTeX XMLCite \textit{J. Yang} et al., Oper. Matrices 14, No. 1, 265--269 (2020; Zbl 1464.15033) Full Text: DOI
Li, Chun-Mei; Lu, Lin-Zhang; Chen, Zhen Numerical methods for \(Q\)-weighted nonnegative matrix tri-factorization. (English) Zbl 1468.65041 East Asian J. Appl. Math. 10, No. 2, 256-273 (2020). MSC: 65F99 15A23 15B48 PDFBibTeX XMLCite \textit{C.-M. Li} et al., East Asian J. Appl. Math. 10, No. 2, 256--273 (2020; Zbl 1468.65041) Full Text: DOI
Yang, Junjian; Lu, Linzhang; Chen, Zhen A note on more inequalities for sector matrices. (English) Zbl 07132641 Oper. Matrices 13, No. 2, 471-476 (2019). MSC: 47A63 15A45 PDFBibTeX XMLCite \textit{J. Yang} et al., Oper. Matrices 13, No. 2, 471--476 (2019; Zbl 07132641) Full Text: DOI
Feng, Yuehua; Lu, Linzhang On the growth factor upper bound for Aasen’s algorithm. (English) Zbl 1416.65113 Appl. Math. Lett. 88, 118-124 (2019). MSC: 65F30 15A23 65F35 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{L. Lu}, Appl. Math. Lett. 88, 118--124 (2019; Zbl 1416.65113) Full Text: DOI arXiv
Yang, Junjian; Lu, Linzhang; Chen, Zhen Schatten \(q\)-norms and determinantal inequalities for matrices with numerical ranges in a sector. (English) Zbl 07001299 Linear Multilinear Algebra 67, No. 2, 221-227 (2019). MSC: 47A63 15A45 PDFBibTeX XMLCite \textit{J. Yang} et al., Linear Multilinear Algebra 67, No. 2, 221--227 (2019; Zbl 07001299) Full Text: DOI
Guan, Jinrui; Lu, Linzhang New alternately linearized implicit iteration for M-matrix algebraic Riccati equations. (English) Zbl 1413.65133 J. Math. Study 50, No. 1, 54-64 (2017). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{J. Guan} and \textit{L. Lu}, J. Math. Study 50, No. 1, 54--64 (2017; Zbl 1413.65133) Full Text: DOI
Wang, Teng; Zheng, Qingqing; Lu, Linzhang A new iteration method for a class of complex symmetric linear systems. (English) Zbl 1365.65087 J. Comput. Appl. Math. 325, 188-197 (2017). MSC: 65F10 15A24 PDFBibTeX XMLCite \textit{T. Wang} et al., J. Comput. Appl. Math. 325, 188--197 (2017; Zbl 1365.65087) Full Text: DOI
Lu, Linzhang; Guan, Jinrui A modified SDA method for nonsymmetric algebraic Riccati equations. (Chinese. English summary) Zbl 1499.65148 Sci. Sin., Math. 46, No. 7, 1105-1116 (2016). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{L. Lu} and \textit{J. Guan}, Sci. Sin., Math. 46, No. 7, 1105--1116 (2016; Zbl 1499.65148) Full Text: DOI
Yuan, Fei; Lu, Linzhang; Li, Rencang Backward error analysis for some quadratic eigenvalue problems. (Chinese. English summary) Zbl 1363.15017 J. Xiamen Univ., Nat. Sci. 55, No. 1, 97-102 (2016). MSC: 15A18 15A24 PDFBibTeX XMLCite \textit{F. Yuan} et al., J. Xiamen Univ., Nat. Sci. 55, No. 1, 97--102 (2016; Zbl 1363.15017) Full Text: DOI
Wang, Teng; Lu, Linzhang Alternating-directional PMHSS iteration method for a class of two-by-two block linear systems. (English) Zbl 1382.65094 Appl. Math. Lett. 58, 159-164 (2016). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{T. Wang} and \textit{L. Lu}, Appl. Math. Lett. 58, 159--164 (2016; Zbl 1382.65094) Full Text: DOI
Guan, Jinrui; Lu, Linzhang; Li, Ren-Cang; Shao, Rongxia Self-corrective iterations (SCI) for generalized diagonally dominant matrices. (English) Zbl 1334.15096 J. Comput. Appl. Math. 302, 285-300 (2016). MSC: 15B99 15B52 65F10 65F35 PDFBibTeX XMLCite \textit{J. Guan} et al., J. Comput. Appl. Math. 302, 285--300 (2016; Zbl 1334.15096) Full Text: DOI
Lu, Linzhang; Ahmed, Zubair; Guan, Jinrui Numerical methods for a quadratic matrix equation with a nonsingular M-matrix. (English) Zbl 1330.65066 Appl. Math. Lett. 52, 46-52 (2016). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{L. Lu} et al., Appl. Math. Lett. 52, 46--52 (2016; Zbl 1330.65066) Full Text: DOI
Pan, Junjun; Lu, Linzhang TP model transformation via sequentially truncated higher-order singular value decomposition. (English) Zbl 1332.90062 Asian J. Control 17, No. 2, 467-475 (2015). MSC: 90B18 15A18 93C15 93C05 PDFBibTeX XMLCite \textit{J. Pan} and \textit{L. Lu}, Asian J. Control 17, No. 2, 467--475 (2015; Zbl 1332.90062) Full Text: DOI
Lu, Linzhang; Yuan, Fei; Li, Ren-Cang A new look at the doubling algorithm for a structured palindromic quadratic eigenvalue problem. (English) Zbl 1363.65097 Numer. Linear Algebra Appl. 22, No. 3, 393-409 (2015). Reviewer: Liu Xinguo (Qingdao) MSC: 65H17 65F15 15A24 PDFBibTeX XMLCite \textit{L. Lu} et al., Numer. Linear Algebra Appl. 22, No. 3, 393--409 (2015; Zbl 1363.65097) Full Text: DOI
Teng, Zhongming; Lu, Linzhang; Li, Ren-Cang Perturbation of partitioned linear response eigenvalue problems. (English) Zbl 1330.65060 ETNA, Electron. Trans. Numer. Anal. 44, 624-638 (2015). MSC: 65F15 15A42 PDFBibTeX XMLCite \textit{Z. Teng} et al., ETNA, Electron. Trans. Numer. Anal. 44, 624--638 (2015; Zbl 1330.65060) Full Text: EMIS
Teng, Zhongming; Lu, Linzhang; Li, Ren-Cang Cluster-robust accuracy bounds for Ritz subspaces. (English) Zbl 1320.15013 Linear Algebra Appl. 480, 11-26 (2015). MSC: 15A42 65F15 PDFBibTeX XMLCite \textit{Z. Teng} et al., Linear Algebra Appl. 480, 11--26 (2015; Zbl 1320.15013) Full Text: DOI
Chen, Zhen; Lu, Linzhang A gradient based iterative solutions for Sylvester tensor equations. (English) Zbl 1299.65045 Math. Probl. Eng. 2013, Article ID 819479, 7 p. (2013). MSC: 65F10 15A24 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{L. Lu}, Math. Probl. Eng. 2013, Article ID 819479, 7 p. (2013; Zbl 1299.65045) Full Text: DOI
Lai, Jiangzhou; Lu, Linzhang Real fast structure-preserving algorithm for eigenproblem of complex Hermitian matrices. (English) Zbl 1299.65064 Math. Probl. Eng. 2013, Article ID 438320, 12 p. (2013). MSC: 65F15 15B57 PDFBibTeX XMLCite \textit{J. Lai} and \textit{L. Lu}, Math. Probl. Eng. 2013, Article ID 438320, 12 p. (2013; Zbl 1299.65064) Full Text: DOI
Chen, Zhen; Lu, Linzhang A tensor singular values and its symmetric embedding eigenvalues. (English) Zbl 1285.15014 J. Comput. Appl. Math. 250, 217-228 (2013). MSC: 15A69 15A18 65F15 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{L. Lu}, J. Comput. Appl. Math. 250, 217--228 (2013; Zbl 1285.15014) Full Text: DOI
Lai, Jiangzhou; Lu, Linzhang The bound for the spectral condition number of a rank one perturbation matrix. (Chinese. English summary) Zbl 1299.15010 J. Guizhou Norm. Univ., Nat. Sci. 31, No. 4, 35-36 (2013). MSC: 15A12 15A18 15A03 15B48 PDFBibTeX XMLCite \textit{J. Lai} and \textit{L. Lu}, J. Guizhou Norm. Univ., Nat. Sci. 31, No. 4, 35--36 (2013; Zbl 1299.15010)
Lai, Jiangzhou; Lu, Linzhang A real isotropic Lanczos algorithm for eigenproblem of complex Hermite matrix. (Chinese. English summary) Zbl 1289.65079 J. Fuzhou Univ., Nat. Sci. 41, No. 3, 261-265 (2013). MSC: 65F15 15B57 PDFBibTeX XMLCite \textit{J. Lai} and \textit{L. Lu}, J. Fuzhou Univ., Nat. Sci. 41, No. 3, 261--265 (2013; Zbl 1289.65079)
Wang, Xiang; Lu, Lin-zhang; Niu, Qiang; Nie, Yong-ming A refined variant of the inverse-free Krylov subspace method for symmetric generalized eigenvalue problems. (English) Zbl 1268.65050 Japan J. Ind. Appl. Math. 30, No. 2, 465-482 (2013). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{X. Wang} et al., Japan J. Ind. Appl. Math. 30, No. 2, 465--482 (2013; Zbl 1268.65050) Full Text: DOI
Chen, Zhen; Lu, Linzhang A projection method and Kronecker product preconditioner for solving Sylvester tensor equations. (English) Zbl 1273.65048 Sci. China, Math. 55, No. 6, 1281-1292 (2012). MSC: 65F10 15A69 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{L. Lu}, Sci. China, Math. 55, No. 6, 1281--1292 (2012; Zbl 1273.65048) Full Text: DOI
Zhou, Jituan; Lu, Linzhang On simultaneously nilpotent antiring matrices. (English) Zbl 1268.15029 Comput. Math. Appl. 64, No. 9, 2912-2916 (2012). MSC: 15B33 16Y99 05C20 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{L. Lu}, Comput. Math. Appl. 64, No. 9, 2912--2916 (2012; Zbl 1268.15029) Full Text: DOI
Lai, Jiangzhou; Lu, Linzhang Refined perturbation bounds for the \(HR\) decomposition. (English) Zbl 1274.15028 J. Math. Study 45, No. 3, 263-270 (2012). MSC: 15A23 15A12 65F35 PDFBibTeX XMLCite \textit{J. Lai} and \textit{L. Lu}, J. Math. Study 45, No. 3, 263--270 (2012; Zbl 1274.15028)
Chen, Zhen; Lu, Linzhang; Liu, Zhibing The eigenvalue problems for tensor and tensor transposition. (Chinese. English summary) Zbl 1265.15019 J. Xiamen Univ., Nat. Sci. 51, No. 1, 9-11 (2012). MSC: 15A18 15A72 PDFBibTeX XMLCite \textit{Z. Chen} et al., J. Xiamen Univ., Nat. Sci. 51, No. 1, 9--11 (2012; Zbl 1265.15019)
Wang, Xuansheng; Xie, Xiaoyao; Lu, Linzhang An effective initialization for orthogonal nonnegative matrix factorization. (English) Zbl 1265.15028 J. Comput. Math. 30, No. 1, 34-46 (2012). MSC: 15A23 65F25 15B48 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Comput. Math. 30, No. 1, 34--46 (2012; Zbl 1265.15028) Full Text: DOI
Zhou, Jituan; Lu, Linzhang On primes in the doubly stochastic circulant matrices. (English) Zbl 1482.15034 Adv. Math., Beijing 40, No. 3, 314-324 (2011). MSC: 15B51 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{L. Lu}, Adv. Math., Beijing 40, No. 3, 314--324 (2011; Zbl 1482.15034)
Liu, Zhibing; Lu, Linzhang; Wang, Kanmin The inverse eigenvalue problem of generalized reflexive matrices and its approximation. (English) Zbl 1243.15006 Appl. Math. Comput. 218, No. 5, 1611-1616 (2011). Reviewer: Marjeta Kramar Fijavž (Ljubljana) MSC: 15A18 15A29 65F18 PDFBibTeX XMLCite \textit{Z. Liu} et al., Appl. Math. Comput. 218, No. 5, 1611--1616 (2011; Zbl 1243.15006) Full Text: DOI
Niu, Qiang; Wang, Xiang; Lu, Lin-Zhang A relaxed gradient based algorithm for solving Sylvester equations. (English) Zbl 1242.65081 Asian J. Control 13, No. 3, 461-464 (2011). Reviewer: Vasilis Dimitriou (Chania) MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{Q. Niu} et al., Asian J. Control 13, No. 3, 461--464 (2011; Zbl 1242.65081) Full Text: DOI
Wu, Chunhong; Lu, Linzhang A special kind of inverse singular value problem of matrices. (Chinese. English summary) Zbl 1240.65132 J. Xiamen Univ., Nat. Sci. 49, No. 3, 308-311 (2010). MSC: 65F18 15A18 15A29 65Y05 PDFBibTeX XMLCite \textit{C. Wu} and \textit{L. Lu}, J. Xiamen Univ., Nat. Sci. 49, No. 3, 308--311 (2010; Zbl 1240.65132)
Liu, Zhibing; Lu, Linzhang; Wang, Kanmin On several matrix Kantorovich-type inequalities. (English) Zbl 1189.15031 J. Inequal. Appl. 2010, Article ID 571629, 5 p. (2010). MSC: 15A45 PDFBibTeX XMLCite \textit{Z. Liu} et al., J. Inequal. Appl. 2010, Article ID 571629, 5 p. (2010; Zbl 1189.15031) Full Text: DOI EuDML
Wu, Chunhong; Lu, Linzhang Inverse eigenvalue problem of unitary Hessenberg matrices. (English) Zbl 1178.15010 Discrete Dyn. Nat. Soc. 2009, Article ID 615069, 11 p. (2009). MSC: 15A18 15A29 65F18 PDFBibTeX XMLCite \textit{C. Wu} and \textit{L. Lu}, Discrete Dyn. Nat. Soc. 2009, Article ID 615069, 11 p. (2009; Zbl 1178.15010) Full Text: DOI EuDML
Wang, Yuanyuan; Lu, Linzhang Block sine transform preconditioner for generalized block Toeplitz eigenvalue problem. (English) Zbl 1199.65124 J. Math. Study 41, No. 3, 240-250 (2008). MSC: 65F15 65F08 15B05 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{L. Lu}, J. Math. Study 41, No. 3, 240--250 (2008; Zbl 1199.65124)
Kong, Fanxu; Lu, Linzhang Semiseparable matrices based on orthogonal factorization of inverted Krylov matrices. (English) Zbl 1174.15004 J. Math. Study 41, No. 2, 119-125 (2008). MSC: 15A23 15A18 PDFBibTeX XMLCite \textit{F. Kong} and \textit{L. Lu}, J. Math. Study 41, No. 2, 119--125 (2008; Zbl 1174.15004)
Bai, Zhong-Zhi; Gao, Yong-Hua; Lu, Lin-Zhang Fast iterative schemes for nonsymmetric algebraic Riccati equations arising from transport theory. (English) Zbl 1166.65065 SIAM J. Sci. Comput. 30, No. 2, 804-818 (2008). Reviewer: Ivan Secrieru (Chişinău) MSC: 65R20 65F30 45K05 82C70 15A24 PDFBibTeX XMLCite \textit{Z.-Z. Bai} et al., SIAM J. Sci. Comput. 30, No. 2, 804--818 (2008; Zbl 1166.65065) Full Text: DOI
Wang, Xiang; Lu, Linzhang; Zhu, Chuanxi; Niu, Qiang A note on the spectral for real Hankel matrices. (English) Zbl 1158.15007 Appl. Math. Comput. 206, No. 2, 994-996 (2008). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A18 15B57 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Comput. 206, No. 2, 994--996 (2008; Zbl 1158.15007) Full Text: DOI
Zhou, Jituan; Lu, Linzhang Primes in the doubly stochastic circulant matrices. (Chinese. English summary) Zbl 1164.15337 J. Lanzhou Univ., Nat. Sci. 43, No. 3, 135-138 (2007). MSC: 15B51 15B48 15A23 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{L. Lu}, J. Lanzhou Univ., Nat. Sci. 43, No. 3, 135--138 (2007; Zbl 1164.15337)
Lin, Yurui; Lu, Linzhang Structures of circulant inverse \(M\)-matrices. (English) Zbl 1140.15315 J. Comput. Math. 25, No. 5, 553-560 (2007). MSC: 15B48 15B57 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{L. Lu}, J. Comput. Math. 25, No. 5, 553--560 (2007; Zbl 1140.15315)
Zhou, Jituan; Lu, Linzhang Primes in the doubly stochastic circulant matrices of order 3 or 4. (Chinese. English summary) Zbl 1140.15317 Acta Math. Sin., Chin. Ser. 50, No. 3, 661-668 (2007). MSC: 15B51 15B48 15A23 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{L. Lu}, Acta Math. Sin., Chin. Ser. 50, No. 3, 661--668 (2007; Zbl 1140.15317)
Lu, Linzhang; Ng, Michael K. Maximum inverse positive matrices. (English) Zbl 1131.15021 Appl. Math. Lett. 20, No. 1, 65-69 (2007). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15B48 15A09 PDFBibTeX XMLCite \textit{L. Lu} and \textit{M. K. Ng}, Appl. Math. Lett. 20, No. 1, 65--69 (2007; Zbl 1131.15021) Full Text: DOI
Liang, Jun-ping; Lu, Lin-zhang The centroskew symmetric solution of the inverse quadratic eigenvalue problem and its optimal approximation. (Chinese. English summary) Zbl 1480.65087 J. Fujian Norm. Univ., Nat. Sci. 22, No. 3, 10-14 (2006). MSC: 65F18 15A18 15A29 PDFBibTeX XMLCite \textit{J.-p. Liang} and \textit{L.-z. Lu}, J. Fujian Norm. Univ., Nat. Sci. 22, No. 3, 10--14 (2006; Zbl 1480.65087)
Lu, Linzhang; Ng, Michael K. Effects of a parameter on a nonsymmetric algebraic Riccati equation. (English) Zbl 1090.15012 Appl. Math. Comput. 172, No. 2, 753-761 (2006). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 PDFBibTeX XMLCite \textit{L. Lu} and \textit{M. K. Ng}, Appl. Math. Comput. 172, No. 2, 753--761 (2006; Zbl 1090.15012) Full Text: DOI
Wang, Xiang; Lu, Linzhang A fast algorithm for solving linear systems of the Pascal type. (English) Zbl 1093.65031 Appl. Math. Comput. 175, No. 1, 441-451 (2006). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F05 65L05 34A30 15-04 65Y20 PDFBibTeX XMLCite \textit{X. Wang} and \textit{L. Lu}, Appl. Math. Comput. 175, No. 1, 441--451 (2006; Zbl 1093.65031) Full Text: DOI
Lu, Lin-Zhang Newton iterations for a non-symmetric algebraic Riccati equation. (English) Zbl 1164.65386 Numer. Linear Algebra Appl. 12, No. 2-3, 191-200 (2005). Reviewer: Jan Chleboun (Praha) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{L.-Z. Lu}, Numer. Linear Algebra Appl. 12, No. 2--3, 191--200 (2005; Zbl 1164.65386) Full Text: DOI
He, Ming; Lu, Linzhang Toeplitz \(P\)-matrix completion problem. (Chinese. English summary) Zbl 1083.15505 J. Xiamen Univ., Nat. Sci. 44, No. 4, 450-452 (2005). MSC: 15A29 15B57 PDFBibTeX XMLCite \textit{M. He} and \textit{L. Lu}, J. Xiamen Univ., Nat. Sci. 44, No. 4, 450--452 (2005; Zbl 1083.15505)
Lu, Lin-Zhang Solution form and simple iteration of a nonsymmetric algebraic Riccati equation arising in transport theory. (English) Zbl 1072.15016 SIAM J. Matrix Anal. Appl. 26, No. 3, 679-685 (2005). Reviewer: Costică Moroşanu (Iaşi) MSC: 15A24 65F10 82C70 65F30 PDFBibTeX XMLCite \textit{L.-Z. Lu}, SIAM J. Matrix Anal. Appl. 26, No. 3, 679--685 (2005; Zbl 1072.15016) Full Text: DOI
Wang, Fuyi; Lu, Linzhang Inverse eigenvalue problems for persymmetric matrices. (Chinese. English summary) Zbl 1087.65547 J. Xiamen Univ., Nat. Sci. 43, No. 6, 741-744 (2004). MSC: 65F18 15A18 15A29 65F20 PDFBibTeX XMLCite \textit{F. Wang} and \textit{L. Lu}, J. Xiamen Univ., Nat. Sci. 43, No. 6, 741--744 (2004; Zbl 1087.65547)
Lin, Xiuli; Lu, Linzhang Inverse eigenvalue problem for doubly symmetric five-diagonal matrix. (Chinese. English summary) Zbl 1122.15302 J. Xiamen Univ., Nat. Sci. 43, No. 3, 288-292 (2004). MSC: 15A18 15A29 PDFBibTeX XMLCite \textit{X. Lin} and \textit{L. Lu}, J. Xiamen Univ., Nat. Sci. 43, No. 3, 288--292 (2004; Zbl 1122.15302)
Lu, Linzhang; Wang, Fuyi Inverse eigenvalue problems for persymmetric tridiagonal matrices. (Chinese. English summary) Zbl 1065.15012 J. Xiamen Univ., Nat. Sci. 43, No. 2, 148-151 (2004). MSC: 15A18 15A29 PDFBibTeX XMLCite \textit{L. Lu} and \textit{F. Wang}, J. Xiamen Univ., Nat. Sci. 43, No. 2, 148--151 (2004; Zbl 1065.15012)
Lu, Linzhang; Ng, Michael K. Localization of Perron roots. (English) Zbl 1067.15004 Linear Algebra Appl. 392, 103-117 (2004). Reviewer: Witold Wiȩsław (Wrocław) MSC: 15A18 15B48 PDFBibTeX XMLCite \textit{L. Lu} and \textit{M. K. Ng}, Linear Algebra Appl. 392, 103--117 (2004; Zbl 1067.15004) Full Text: DOI
Lu, Linzhang; Ng, Michael K. On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem. (English) Zbl 1058.65046 Numer. Math. 98, No. 1, 167-176 (2004). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F18 15A29 15A18 65L09 65L15 34L16 34A55 34B24 PDFBibTeX XMLCite \textit{L. Lu} and \textit{M. K. Ng}, Numer. Math. 98, No. 1, 167--176 (2004; Zbl 1058.65046) Full Text: DOI
Lu, Lin Zhang; Ma, Fei Upper and lower bounds for the Perron roots of nonnegative matrices. (Chinese. English summary) Zbl 1495.15048 Math. Numer. Sin. 25, No. 2, 193-198 (2003). MSC: 15B48 15A42 PDFBibTeX XMLCite \textit{L. Z. Lu} and \textit{F. Ma}, Math. Numer. Sin. 25, No. 2, 193--198 (2003; Zbl 1495.15048)
Wang, Xiang; Lu, Lin Zhang \(\alpha\)-doubly diagonally dominant matrices and criteria for \(H\)-matrices. (Chinese. English summary) Zbl 1058.15502 J. Xiamen Univ., Nat. Sci. 42, No. 5, 570-572 (2003). MSC: 15B57 PDFBibTeX XMLCite \textit{X. Wang} and \textit{L. Z. Lu}, J. Xiamen Univ., Nat. Sci. 42, No. 5, 570--572 (2003; Zbl 1058.15502)
Wang, Xiang; Lu, Linzhang \(\alpha\)-double diagonally dominant matrices. (Chinese. English summary) Zbl 1037.15020 J. Xiamen Univ., Nat. Sci. 42, No. 4, 425-427 (2003). MSC: 15B57 05C50 05C20 15A09 15A45 15B48 PDFBibTeX XMLCite \textit{X. Wang} and \textit{L. Lu}, J. Xiamen Univ., Nat. Sci. 42, No. 4, 425--427 (2003; Zbl 1037.15020)
He, Ming; Lu, Linzhang A class of positive definite completion problem for partial positive definite Toeplitz matrices. (Chinese. English summary) Zbl 1018.15009 J. Xiamen Univ., Nat. Sci. 41, No. 4, 409-412 (2002). MSC: 15A29 15B48 PDFBibTeX XMLCite \textit{M. He} and \textit{L. Lu}, J. Xiamen Univ., Nat. Sci. 41, No. 4, 409--412 (2002; Zbl 1018.15009)
Lu, Linzhang; Zhang, Meihong On similarity of Hessenberg matrix and Toeplitz matrix. (Chinese. English summary) Zbl 1002.15013 J. Xiamen Univ., Nat. Sci. 41, No. 1, 6-9 (2002). MSC: 15A21 15B57 15A24 PDFBibTeX XMLCite \textit{L. Lu} and \textit{M. Zhang}, J. Xiamen Univ., Nat. Sci. 41, No. 1, 6--9 (2002; Zbl 1002.15013)
Li, Wen; Elsner, Ludwig; Lu, Linzhang Comparisons of spectral radii and the theorem of Stein-Rosenberg. (English) Zbl 0997.65060 Linear Algebra Appl. 348, No. 1-3, 283-287 (2002). Reviewer: Thomas Sonar (Braunschweig) MSC: 65F10 15A42 PDFBibTeX XMLCite \textit{W. Li} et al., Linear Algebra Appl. 348, No. 1--3, 283--287 (2002; Zbl 0997.65060) Full Text: DOI
Lu, Linzhang Perron complement and Perron root. (English) Zbl 0999.15009 Linear Algebra Appl. 341, No. 1-3, 239-248 (2002). Reviewer: Jitka Drkošova (Praha) MSC: 15A18 15B48 65F15 PDFBibTeX XMLCite \textit{L. Lu}, Linear Algebra Appl. 341, No. 1--3, 239--248 (2002; Zbl 0999.15009) Full Text: DOI
Lu, Linzhang Study progress of numerical methods for solutions of two classes of algebraic Riccati equations. (Chinese. English summary) Zbl 0985.65032 J. Xiamen Univ., Nat. Sci. 40, No. 2, 182-186 (2001). MSC: 65F30 15A24 65P10 37M15 PDFBibTeX XMLCite \textit{L. Lu}, J. Xiamen Univ., Nat. Sci. 40, No. 2, 182--186 (2001; Zbl 0985.65032)
Lu, L.-Z.; Pearce, C. E. M. Some new bounds for singular values and eigenvalues of matrix products. (English) Zbl 0979.15017 Ann. Oper. Res. 98, 141-148 (2000). Reviewer: Michael Tsatsomeros (Regina) MSC: 15A42 15B57 PDFBibTeX XMLCite \textit{L. Z. Lu} and \textit{C. E. M. Pearce}, Ann. Oper. Res. 98, 141--148 (2000; Zbl 0979.15017) Full Text: DOI
Lu, L. Z.; Sun, W. W. On necessary conditions for reconstruction of a specially structured Jacobi matrix from eigenvalues. (English) Zbl 0942.65042 Inverse Probl. 15, No. 4, 977-987 (1999). Reviewer: Nelli Dimitrova (Sofia) MSC: 65F18 15A29 PDFBibTeX XMLCite \textit{L. Z. Lu} and \textit{W. W. Sun}, Inverse Probl. 15, No. 4, 977--987 (1999; Zbl 0942.65042) Full Text: DOI
Lu, Linzhang; Sun, W. The minimal eigenvalues of a class of block-tridiagonal matrices. (English) Zbl 0882.65023 IEEE Trans. Inf. Theory 43, No. 2, 787-791 (1997). Reviewer: A.Frommer (Wuppertal) MSC: 65F15 65F50 15A42 PDFBibTeX XMLCite \textit{L. Lu} and \textit{W. Sun}, IEEE Trans. Inf. Theory 43, No. 2, 787--791 (1997; Zbl 0882.65023) Full Text: DOI
Lu, Linzhang Matrix bounds and simple iteration for the positive semidefinite solution to discrete-time algebraic Riccati equation. (Chinese. English summary) Zbl 0856.65046 J. Xiamen Univ., Nat. Sci. 34, No. 4, 512-516 (1995). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 15A24 93C55 65F10 PDFBibTeX XMLCite \textit{L. Lu}, J. Xiamen Univ., Nat. Sci. 34, No. 4, 512--516 (1995; Zbl 0856.65046)
Xu, Hongguo; Lu, Linzhang Properties of a quadratic matrix equation and the solution of the continuous-time algebraic Riccati equation. (English) Zbl 0832.65042 Linear Algebra Appl. 222, 127-145 (1995). Reviewer: V.Prepeliţă (Bucureşti) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{H. Xu} and \textit{L. Lu}, Linear Algebra Appl. 222, 127--145 (1995; Zbl 0832.65042) Full Text: DOI