Xiang, Meiling; Dai, Hua Smallest singular value based Newton-like methods for solving quadratic inverse eigenvalue problem. (English) Zbl 1481.65055 East Asian J. Appl. Math. 12, No. 2, 333-352 (2022). MSC: 65F18 15A29 PDFBibTeX XMLCite \textit{M. Xiang} and \textit{H. Dai}, East Asian J. Appl. Math. 12, No. 2, 333--352 (2022; Zbl 1481.65055) Full Text: DOI
Lian, Peng; Dai, Hua A novel alternating projected gradient method for nonnegative matrix factorization. (Chinese. English summary) Zbl 1389.90309 Numer. Math., Nanjing 39, No. 2, 177-192 (2017). MSC: 90C30 15A23 93E24 PDFBibTeX XMLCite \textit{P. Lian} and \textit{H. Dai}, Numer. Math., Nanjing 39, No. 2, 177--192 (2017; Zbl 1389.90309)
Wang, Kangkang; Dai, Hua Alternating projection method for the matrix pencil nearness problem. (Chinese. English summary) Zbl 1413.65152 Commun. Appl. Math. Comput. 31, No. 2, 163-175 (2017). MSC: 65F30 15A22 PDFBibTeX XMLCite \textit{K. Wang} and \textit{H. Dai}, Commun. Appl. Math. Comput. 31, No. 2, 163--175 (2017; Zbl 1413.65152)
Wei, Wei; Dai, Hua Partially orthogonal projection method and its variations for solving polynomial eigenvalue problem. (Chinese. English summary) Zbl 1374.65054 Numer. Math., Nanjing 38, No. 2, 116-133 (2016). MSC: 65F15 15A54 PDFBibTeX XMLCite \textit{W. Wei} and \textit{H. Dai}, Numer. Math., Nanjing 38, No. 2, 116--133 (2016; Zbl 1374.65054)
Wang, Pingxin; Dai, Hua Eigensensitivity of symmetric damped systems with repeated eigenvalues by generalized inverse. (English) Zbl 1360.65157 J. Eng. Math. 96, 201-210 (2016). MSC: 65H17 65F15 65F35 15A18 PDFBibTeX XMLCite \textit{P. Wang} and \textit{H. Dai}, J. Eng. Math. 96, 201--210 (2016; Zbl 1360.65157) Full Text: DOI
Wei, Ying; Dai, Hua An inverse eigenvalue problem for the finite element model of a vibrating rod. (English) Zbl 1382.74129 J. Comput. Appl. Math. 300, 172-182 (2016). MSC: 74S05 74H45 74K10 15A29 15A18 65F15 65F18 PDFBibTeX XMLCite \textit{Y. Wei} and \textit{H. Dai}, J. Comput. Appl. Math. 300, 172--182 (2016; Zbl 1382.74129) Full Text: DOI
Chen, Xiao-Ping; Dai, Hua A novel numerical method to determine the algebraic multiplicity of nonlinear eigenvalues. (English) Zbl 1410.65204 Appl. Math. Comput. 271, 344-351 (2015). MSC: 65H17 15A18 PDFBibTeX XMLCite \textit{X.-P. Chen} and \textit{H. Dai}, Appl. Math. Comput. 271, 344--351 (2015; Zbl 1410.65204) Full Text: DOI
Yuan, Quan; Dai, Hua The matrix pencil nearness problem in structural dynamic model updating. (English) Zbl 1360.74042 J. Eng. Math. 93, 131-143 (2015). MSC: 74E99 65F15 15A22 49M29 PDFBibTeX XMLCite \textit{Q. Yuan} and \textit{H. Dai}, J. Eng. Math. 93, 131--143 (2015; Zbl 1360.74042) Full Text: DOI
Zhang, Jianhua; Dai, Hua A transpose-free quasi-minimal residual variant of the CORS method for solving non-Hermitian linear systems. (English) Zbl 1349.65125 J. Comput. Phys. 291, 20-33 (2015). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{H. Dai}, J. Comput. Phys. 291, 20--33 (2015; Zbl 1349.65125) Full Text: DOI
Wang, Pingxin; Dai, Hua Derivatives of repeated eigenvalues and the corresponding eigenvectors of quadratic eigenvalue problem. (Chinese. English summary) Zbl 1349.65134 Math. Pract. Theory 45, No. 3, 214-218 (2015). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{P. Wang} and \textit{H. Dai}, Math. Pract. Theory 45, No. 3, 214--218 (2015; Zbl 1349.65134)
Xu, Qingqing; Dai, Hua HSS iteration method for generalized Lyapunov equations. (Chinese. English summary) Zbl 1349.65145 Commun. Appl. Math. Comput. 29, No. 4, 383-394 (2015). MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{Q. Xu} and \textit{H. Dai}, Commun. Appl. Math. Comput. 29, No. 4, 383--394 (2015; Zbl 1349.65145) Full Text: DOI
Zhang, Jianhua; Dai, Hua A new splitting preconditioner for the iterative solution of complex symmetric indefinite linear systems. (English) Zbl 1382.65083 Appl. Math. Lett. 49, 100-106 (2015). MSC: 65F08 15A06 65F10 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{H. Dai}, Appl. Math. Lett. 49, 100--106 (2015; Zbl 1382.65083) Full Text: DOI
Wei, Ying; Dai, Hua An inverse eigenvalue problem for Jacobi matrix. (English) Zbl 1328.15030 Appl. Math. Comput. 251, 633-642 (2015). MSC: 15A29 PDFBibTeX XMLCite \textit{Y. Wei} and \textit{H. Dai}, Appl. Math. Comput. 251, 633--642 (2015; Zbl 1328.15030) Full Text: DOI
Dai, Hua; Bai, Zhong-Zhi; Wei, Ying On the solvability condition and numerical algorithm for the parameterized generalized inverse eigenvalue problem. (English) Zbl 1317.65101 SIAM J. Matrix Anal. Appl. 36, No. 2, 707-726 (2015). MSC: 65F18 15A18 15A29 PDFBibTeX XMLCite \textit{H. Dai} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 707--726 (2015; Zbl 1317.65101) Full Text: DOI
Mao, Xiaobin; Dai, Hua Structure preserving eigenvalue embedding for undamped gyroscopic systems. (English) Zbl 1428.70009 Appl. Math. Modelling 38, No. 17-18, 4333-4344 (2014). MSC: 70E05 15A22 65F18 PDFBibTeX XMLCite \textit{X. Mao} and \textit{H. Dai}, Appl. Math. Modelling 38, No. 17--18, 4333--4344 (2014; Zbl 1428.70009) Full Text: DOI
Wang, Pingxin; Dai, Hua Sensitivity of defective multiple eigenvalues of a quadratic matrix polynomial problem. (Chinese. English summary) Zbl 1313.15018 Acta Math. Appl. Sin. 37, No. 2, 206-217 (2014). MSC: 15A18 65F15 15A54 62K05 74R05 PDFBibTeX XMLCite \textit{P. Wang} and \textit{H. Dai}, Acta Math. Appl. Sin. 37, No. 2, 206--217 (2014; Zbl 1313.15018)
Wang, Pingxin; Dai, Hua The sensitivity of defective multiple eigenvalues for recurrent event data. (Chinese. English summary) Zbl 1299.15012 Acta Math. Appl. Sin. 36, No. 4, 688-697 (2013). MSC: 15A18 65F15 PDFBibTeX XMLCite \textit{P. Wang} and \textit{H. Dai}, Acta Math. Appl. Sin. 36, No. 4, 688--697 (2013; Zbl 1299.15012)
Bao, Lijuan; Dai, Hua Optimal approximation of centrosymmetric matrix pencil with a submatrix pencil constraint. (Chinese. English summary) Zbl 1289.15018 Chin. J. Eng. Math. 30, No. 2, 205-216 (2013). MSC: 15A18 15A29 65F18 15A22 PDFBibTeX XMLCite \textit{L. Bao} and \textit{H. Dai}, Chin. J. Eng. Math. 30, No. 2, 205--216 (2013; Zbl 1289.15018)
Mao, Xiaobin; Dai, Hua Partial eigenvalue assignment with time delay robustness. (English) Zbl 1263.93092 Numer. Algebra Control Optim. 3, No. 2, 207-221 (2013). MSC: 93B60 93B52 65F18 15A29 93B40 PDFBibTeX XMLCite \textit{X. Mao} and \textit{H. Dai}, Numer. Algebra Control Optim. 3, No. 2, 207--221 (2013; Zbl 1263.93092) Full Text: DOI
Wei, Ying; Dai, Hua Construction of a Jacobi matrix from its spectrum and a submatrix, and its expansion. (Chinese. English summary) Zbl 1265.65066 Acta Math. Sci., Ser. A, Chin. Ed. 32, No. 2, 356-363 (2012). MSC: 65F18 15A54 15A18 15A29 PDFBibTeX XMLCite \textit{Y. Wei} and \textit{H. Dai}, Acta Math. Sci., Ser. A, Chin. Ed. 32, No. 2, 356--363 (2012; Zbl 1265.65066)
Xie, Huiqing; Dai, Hua On condition numbers of a nondefective multiple eigenvalue of a nonsymmetric matrix pencil. (English) Zbl 1254.15019 Linear Algebra Appl. 437, No. 7, 1628-1640 (2012). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A22 15A18 15A12 65F15 15A60 PDFBibTeX XMLCite \textit{H. Xie} and \textit{H. Dai}, Linear Algebra Appl. 437, No. 7, 1628--1640 (2012; Zbl 1254.15019) Full Text: DOI
Yang, Xingdong; Dai, Hua; He, Qingquan Condition numbers and backward perturbation bound for linear matrix equations. (English) Zbl 1249.15006 Numer. Linear Algebra Appl. 18, No. 1, 155-165 (2011). MSC: 15A12 65F20 65F35 15A24 PDFBibTeX XMLCite \textit{X. Yang} et al., Numer. Linear Algebra Appl. 18, No. 1, 155--165 (2011; Zbl 1249.15006) Full Text: DOI
Dai, Hua; Bai, Zhongzhi On eigenvalue bounds and iteration methods for discrete algebraic Riccati equations. (English) Zbl 1249.65092 J. Comput. Math. 29, No. 3, 341-366 (2011). MSC: 65F30 65F10 65F15 15A24 PDFBibTeX XMLCite \textit{H. Dai} and \textit{Z. Bai}, J. Comput. Math. 29, No. 3, 341--366 (2011; Zbl 1249.65092) Full Text: DOI
Yuan, Yongxin; Dai, Hua On a class of inverse quadratic eigenvalue problem. (English) Zbl 1209.15017 J. Comput. Appl. Math. 235, No. 8, 2662-2669 (2011). MSC: 15A18 15A29 65F18 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{H. Dai}, J. Comput. Appl. Math. 235, No. 8, 2662--2669 (2011; Zbl 1209.15017) Full Text: DOI
Dai, Hua; Bai, Zhongzhi On smooth LU decompositions with applications to solutions of nonlinear eigenvalue problems. (English) Zbl 1240.65122 J. Comput. Math. 28, No. 6, 745-766 (2010). MSC: 65F15 15A18 15A23 65F05 PDFBibTeX XMLCite \textit{H. Dai} and \textit{Z. Bai}, J. Comput. Math. 28, No. 6, 745--766 (2010; Zbl 1240.65122) Full Text: DOI
Yuan, Yongxin; Dai, Hua Inverse problems for generalized reflexive matrices on a linear manifold. (Chinese. English summary) Zbl 1224.15032 Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 6, 1547-1560 (2009). MSC: 15A29 15A24 65F18 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{H. Dai}, Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 6, 1547--1560 (2009; Zbl 1224.15032)
Lü, Liangfu; Dai, Hua; Xu, Huan The total least squares solution for the inverse problems of symmetric matrices. (Chinese. English summary) Zbl 1212.65162 Chin. J. Eng. Math. 26, No. 6, 1090-1096 (2009). MSC: 65F20 15A09 65F05 15A29 15B57 PDFBibTeX XMLCite \textit{L. Lü} et al., Chin. J. Eng. Math. 26, No. 6, 1090--1096 (2009; Zbl 1212.65162)
Yuan, Yongxin; Zhang, Hongye; Dai, Hua Generalized centrosymmetric solutions of the matrix equation \(XA-YB=D\) and an associated optimal approximation. (English) Zbl 1199.15056 Numer. Math., Nanjing 31, No. 1, 1-10 (2009). MSC: 15A24 15A09 15A18 65F10 PDFBibTeX XMLCite \textit{Y. Yuan} et al., Numer. Math., Nanjing 31, No. 1, 1--10 (2009; Zbl 1199.15056)
Yuan, Yongxin; Dai, Hua Generalized reflexive solutions of the matrix equation \(AXB=D\) and an associated optimal approximation problem. (English) Zbl 1155.15301 Comput. Math. Appl. 56, No. 6, 1643-1649 (2008). MSC: 15A24 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{H. Dai}, Comput. Math. Appl. 56, No. 6, 1643--1649 (2008; Zbl 1155.15301) Full Text: DOI
Mao, Xiaobin; Dai, Hua An inverse eigenvalue problem for the finite difference model of a vibrating rod. (Chinese. English summary) Zbl 1174.74317 Numer. Math., Nanjing 30, No. 2, 159-168 (2008). MSC: 74K10 15A09 65F10 PDFBibTeX XMLCite \textit{X. Mao} and \textit{H. Dai}, Numer. Math., Nanjing 30, No. 2, 159--168 (2008; Zbl 1174.74317)
Yang, Xingdong; Dai, Hua; Huang, Weihong The estimates for singular values of Schur complements of matrix products. (Chinese. English summary) Zbl 1174.15356 Numer. Math., Nanjing 30, No. 2, 152-158 (2008). MSC: 15A42 15B57 PDFBibTeX XMLCite \textit{X. Yang} et al., Numer. Math., Nanjing 30, No. 2, 152--158 (2008; Zbl 1174.15356)
Yuan, Yongxin; Dai, Hua The nearness problems for symmetric matrix with a submatrix constraint. (English) Zbl 1138.65032 J. Comput. Appl. Math. 213, No. 1, 224-231 (2008). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65F18 15A24 15B57 65N30 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{H. Dai}, J. Comput. Appl. Math. 213, No. 1, 224--231 (2008; Zbl 1138.65032) Full Text: DOI
Yang, Xingdong; Dai, Hua Condition numbers and backward perturbation analysis for the matrix equation \(A^TXA=D\). (Chinese. English summary) Zbl 1164.15002 Acta Math. Appl. Sin. 30, No. 6, 1086-1096 (2007). MSC: 15A24 15A12 65F35 65F30 15A09 PDFBibTeX XMLCite \textit{X. Yang} and \textit{H. Dai}, Acta Math. Appl. Sin. 30, No. 6, 1086--1096 (2007; Zbl 1164.15002)
Tian, Xia; Dai, Hua Inverse eigenvalue problems for the finite element model of the rod. (Chinese. English summary) Zbl 1140.15307 Numer. Math., Nanjing 29, No. 2, 146-156 (2007). MSC: 15A18 65F10 74K10 15A29 74S05 PDFBibTeX XMLCite \textit{X. Tian} and \textit{H. Dai}, Numer. Math., Nanjing 29, No. 2, 146--156 (2007; Zbl 1140.15307)
Liu, Hao; Dai, Hua Inverse problems for nonsymmetric matrices with a submatrix constraint. (English) Zbl 1124.15008 Appl. Math. Comput. 189, No. 2, 1320-1330 (2007). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 15A29 65F30 PDFBibTeX XMLCite \textit{H. Liu} and \textit{H. Dai}, Appl. Math. Comput. 189, No. 2, 1320--1330 (2007; Zbl 1124.15008) Full Text: DOI
Yuan, Yongxin; Dai, Hua Inverse problems for symmetric matrices with a submatrix constraint. (English) Zbl 1134.65034 Appl. Numer. Math. 57, No. 5-7, 646-656 (2007). Reviewer: M. Thamban Nair (Chennai) MSC: 65F30 15A29 65F20 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{H. Dai}, Appl. Numer. Math. 57, No. 5--7, 646--656 (2007; Zbl 1134.65034) Full Text: DOI
Xie, Hui Qing; Dai, Hua Sensitivity of multiple eigenvalues of quadratic eigenvalue problems dependent on several parameters. (Chinese. English summary) Zbl 1495.65047 Math. Numer. Sin. 28, No. 1, 75-88 (2006); translation in Chin. J. Numer. Math. Appl. 28, No. 3, 96-111 (2006). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{H. Q. Xie} and \textit{H. Dai}, Math. Numer. Sin. 28, No. 1, 75--88 (2006; Zbl 1495.65047); translation in Chin. J. Numer. Math. Appl. 28, No. 3, 96--111 (2006)
Gui, Bing; Dai, Hua Least-squares solutions of matrix equation \(AX-BY=Z\) over centrosymmetric matrices and its optimal approximation. (Chinese. English summary) Zbl 1126.65032 Chin. J. Eng. Math. 23, No. 5, 849-855 (2006). MSC: 65F30 15A24 65F18 65F20 PDFBibTeX XMLCite \textit{B. Gui} and \textit{H. Dai}, Chin. J. Eng. Math. 23, No. 5, 849--855 (2006; Zbl 1126.65032)
Xie, Huiqing; Dai, Hua Inverse eigenvalue problem in structural dynamics design. (English) Zbl 1109.65035 Numer. Math., J. Chin. Univ. 15, No. 2, 97-106 (2006). Reviewer: Amin Boumenir (Carrollton) MSC: 65F18 15A54 PDFBibTeX XMLCite \textit{H. Xie} and \textit{H. Dai}, Numer. Math., J. Chin. Univ. 15, No. 2, 97--106 (2006; Zbl 1109.65035)
Yuan, Yong Xin; Dai, Hua Inverse problems for generalized centrosymmetric matrices on the linear manifold. (Chinese. English summary) Zbl 1495.15031 Math. Numer. Sin. 27, No. 4, 383-394 (2005). MSC: 15A29 15A09 PDFBibTeX XMLCite \textit{Y. X. Yuan} and \textit{H. Dai}, Math. Numer. Sin. 27, No. 4, 383--394 (2005; Zbl 1495.15031)
Yuan, Yongxin; Dai, Hua The least squares solution with the minimum norm of matrix equation \(A^TXB+ B^TX^TA=D\). (Chinese. English summary) Zbl 1095.65039 Numer. Math., Nanjing 27, No. 3, 232-238 (2005). MSC: 65F20 65F30 15A24 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{H. Dai}, Numer. Math., Nanjing 27, No. 3, 232--238 (2005; Zbl 1095.65039)
Yuan, Yongxin; Dai, Hua Least-squares solutions of inverse problems for a class of doubly structured matrices on a linear manifold. (English) Zbl 1101.65042 J. Nanjing Univ., Math. Biq. 22, No. 2, 212-220 (2005). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65F20 15A29 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{H. Dai}, J. Nanjing Univ., Math. Biq. 22, No. 2, 212--220 (2005; Zbl 1101.65042)
Yuan, Yongxin; Dai, Hua Generalized inverse eigenvalue problem of a class of Hermitian-Hamilton matrices. (Chinese. English summary) Zbl 1101.15006 J. East China Shipbuild. Inst., Nat. Sci. 18, No. 6, 25-28 (2004). MSC: 15A29 15B57 15A24 15A18 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{H. Dai}, J. East China Shipbuild. Inst., Nat. Sci. 18, No. 6, 25--28 (2004; Zbl 1101.15006)
Dai, Hua Solvable conditions for inverse problems of Hermitian generalized Hamiltonian matrices. (Chinese. English summary) Zbl 1063.15015 J. Jiangsu Univ., Nat. Sci. 25, No. 1, 40-43 (2004). MSC: 15A29 15B57 PDFBibTeX XMLCite \textit{H. Dai}, J. Jiangsu Univ., Nat. Sci. 25, No. 1, 40--43 (2004; Zbl 1063.15015)
Dai, Hua Computing a nearest \(P\)-symmetric nonnegative definite matrix under linear restriction. (English) Zbl 1058.65045 J. Comput. Math. 22, No. 5, 671-680 (2004). Reviewer: Daniel Kressner (Zagreb) MSC: 65F18 65F20 15A24 PDFBibTeX XMLCite \textit{H. Dai}, J. Comput. Math. 22, No. 5, 671--680 (2004; Zbl 1058.65045)
Dai, Hua Least-squares solutions of inverse problems for symmetric ortho-symmetric matrices. (Chinese. English summary) Zbl 1495.65060 Math. Numer. Sin. 25, No. 1, 59-66 (2003). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{H. Dai}, Math. Numer. Sin. 25, No. 1, 59--66 (2003; Zbl 1495.65060)
Dai, Hua; Yao, Chengyong The solvability conditions for inverse eigenproblem of Jacobi matrices. (Chinese. English summary) Zbl 1049.65024 Numer. Math., Nanjing 25, No. 1, 40-49 (2003). Reviewer: Jan L. Cieśliński (Białystok) MSC: 65F18 15A18 15A29 PDFBibTeX XMLCite \textit{H. Dai} and \textit{C. Yao}, Numer. Math., Nanjing 25, No. 1, 40--49 (2003; Zbl 1049.65024)
Dai, Hua A class of inverse problems for symmetric-orthogonal anti-symmetric matrices. (Chinese. English summary) Zbl 1161.15305 J. Eng. Math., Xi’an 20, No. 3, 41-48 (2003). MSC: 15A29 65F30 PDFBibTeX XMLCite \textit{H. Dai}, J. Eng. Math., Xi'an 20, No. 3, 41--48 (2003; Zbl 1161.15305)
Xie, Huiqing; Dai, Hua On the sensitivity of multiple eigenvalues of nonsymmetric matrix pencils. (English) Zbl 1033.15006 Linear Algebra Appl. 374, 143-158 (2003). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A18 15A22 PDFBibTeX XMLCite \textit{H. Xie} and \textit{H. Dai}, Linear Algebra Appl. 374, 143--158 (2003; Zbl 1033.15006) Full Text: DOI
Dai, Hua The solvability conditions for inverse problems of symmetric orthogonal anti-symmetric matrices. (Chinese. English summary) Zbl 1021.15011 Numer. Math., Nanjing 24, No. 2, 169-178 (2002). MSC: 15A29 15A24 15A09 PDFBibTeX XMLCite \textit{H. Dai}, Numer. Math., Nanjing 24, No. 2, 169--178 (2002; Zbl 1021.15011)
Yao, Chengyong; Dai, Hua A class of inverse eigenvalue problems for Jacobi matrices. (Chinese. English summary) Zbl 1022.65041 J. Nanjing Univ. Aeronaut. Astronaut. 34, No. 3, 211-215 (2002). MSC: 65F18 15A18 15A29 PDFBibTeX XMLCite \textit{C. Yao} and \textit{H. Dai}, J. Nanjing Univ. Aeronaut. Astronaut. 34, No. 3, 211--215 (2002; Zbl 1022.65041)
Dai, Hua Numerical methods for solving multiparameter eigenvalue problems. (English) Zbl 0949.65034 Int. J. Comput. Math. 72, No. 3, 331-347 (1999). Reviewer: A.L.Andrew (Bundoora) MSC: 65F15 15A22 PDFBibTeX XMLCite \textit{H. Dai}, Int. J. Comput. Math. 72, No. 3, 331--347 (1999; Zbl 0949.65034) Full Text: DOI
Dai, Hua An algorithm for symmetric generalized inverse eigenvalue problems. (English) Zbl 0942.65044 Linear Algebra Appl. 296, No. 1-3, 79-98 (1999). Reviewer: Nelli Dimitrova (Sofia) MSC: 65F18 15A29 15A54 PDFBibTeX XMLCite \textit{H. Dai}, Linear Algebra Appl. 296, No. 1--3, 79--98 (1999; Zbl 0942.65044) Full Text: DOI
Dai, Hua Best approximation by normal matrices with spectral constraints. (English) Zbl 0947.41023 Trans. Nanjing Univ. Aeronaut. Astronaut. 15, No. 2, 239-243 (1998). Reviewer: Ioan Şerb (Cluj-Napoca) MSC: 41A50 15A60 PDFBibTeX XMLCite \textit{H. Dai}, Trans. Nanjing Univ. Aeronaut. Astronaut. 15, No. 2, 239--243 (1998; Zbl 0947.41023)
Dai, Hua Completing a symmetric \(2\times 2\) block matrix and its inverse. (English) Zbl 0848.15008 Linear Algebra Appl. 235, 235-245 (1996). Reviewer: A.Lal (Kanpur) MSC: 15A09 PDFBibTeX XMLCite \textit{H. Dai}, Linear Algebra Appl. 235, 235--245 (1996; Zbl 0848.15008) Full Text: DOI
Dai, Hua The unsolvability of generalized inverse eigenvalue problems almost everywhere. (English) Zbl 0927.15005 Numer. Math., J. Chin. Univ. 5, No. 2, 217-227 (1996). MSC: 15A18 15A29 65F18 PDFBibTeX XMLCite \textit{H. Dai}, Numer. Math., J. Chin. Univ. 5, No. 2, 217--227 (1996; Zbl 0927.15005)
Dai, Hua Symmetric positive definite solutions of matrix equations \((AX,XB)=(C,D)\) and \(AXB=C\). (English) Zbl 0887.15007 Trans. Nanjing Univ. Aeronaut. Astronaut. 13, No. 2, 175-179 (1996). Reviewer: Y.Kuo (Knoxville) MSC: 15A24 PDFBibTeX XMLCite \textit{H. Dai}, Trans. Nanjing Univ. Aeronaut. Astronaut. 13, No. 2, 175--179 (1996; Zbl 0887.15007)
Dai, Hua Some developments on the inverse eigenvalue problems for matrices. (Chinese. English summary) Zbl 0851.65022 J. Nanjing Univ. Aeronaut. Astronaut. 27, No. 3, 400-413 (1995). Reviewer: Z.Mei (Toowoomba) MSC: 65F15 65-02 65F30 15A22 PDFBibTeX XMLCite \textit{H. Dai}, J. Nanjing Univ. Aeronaut. Astronaut. 27, No. 3, 400--413 (1995; Zbl 0851.65022)
Dai, Hua On the construction of a Jacobi matrix from its spectrum and a submatrix. (English) Zbl 0833.65032 Trans. Nanjing Univ. Aeronaut. Astronaut. 11, No. 1, 55-59 (1994). Reviewer: R.Lamour (Berlin) MSC: 65F15 15A18 65F30 PDFBibTeX XMLCite \textit{H. Dai}, Trans. Nanjing Univ. Aeronaut. Astronaut. 11, No. 1, 55--59 (1994; Zbl 0833.65032)
Dai, Hua The best approximation of a matrix on the linear manifold. (Chinese. English summary) Zbl 0816.65024 Appl. Math., Ser. A (Chin. Ed.) 9, No. 3, 312-320 (1994). Reviewer: C.He (Chemnitz) MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{H. Dai}, Appl. Math., Ser. A (Chin. Ed.) 9, No. 3, 312--320 (1994; Zbl 0816.65024)
Dai, Hua The inverse generalized eigenvalue problem for real symmetric matrices. (Chinese. English summary) Zbl 0768.15007 Appl. Math., J. Chin. Univ. 7, No. 2, 167-176 (1992). Reviewer: Z.Mei (Marburg) MSC: 15A24 15A09 PDFBibTeX XMLCite \textit{H. Dai}, Appl. Math., J. Chin. Univ. 7, No. 2, 167--176 (1992; Zbl 0768.15007)
He, Xuchu; Dai, Hua Sufficient conditions for the solvability of the multiplicative inverse eigenvalue problem. (English) Zbl 0711.15007 J. Nanjing Univ., Math. Biq. 6, No. 2, 1-7 (1989). Reviewer: R.Ursianu MSC: 15A18 PDFBibTeX XMLCite \textit{X. He} and \textit{H. Dai}, J. Nanjing Univ., Math. Biq. 6, No. 2, 1--7 (1989; Zbl 0711.15007)
Dai, Hua Sufficient conditions for the solvability of an algebraic inverse eigenvalue problem. (Chinese. English summary) Zbl 0687.15008 Math. Numer. Sin. 11, No. 3, 33-336 (1989). MSC: 15A18 65F15 PDFBibTeX XMLCite \textit{H. Dai}, Math. Numer. Sin. 11, No. 3, 33--336 (1989; Zbl 0687.15008)
Dai, Hua Inverse eigenvalue problems for real symmetric banded matrices. (Chinese. English summary) Zbl 0656.65040 Math. Numer. Sin. 10, No. 1, 107-111 (1988). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{H. Dai}, Math. Numer. Sin. 10, No. 1, 107--111 (1988; Zbl 0656.65040)
Dai, Hua Inverse eigenvalue problems for symmetric tridiagonal matrices of the second kind and their applications. (Chinese. English summary) Zbl 0655.65066 J. Nanjing Aeronaut. Inst. 1987, No. 3, 78-88 (1987). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{H. Dai}, J. Nanjing Aeronaut. Inst. 1987, No. 3, 78--88 (1987; Zbl 0655.65066)
Dai, Hua A note on the sin \(\theta\) theorems. (Chinese. English summary) Zbl 0655.65065 J. Nanjing Aeronaut. Inst. 1987, No. 1, 138-141 (1987). MSC: 65F15 15A42 PDFBibTeX XMLCite \textit{H. Dai}, J. Nanjing Aeronaut. Inst. 1987, No. 1, 138--141 (1987; Zbl 0655.65065)