-
3
-
-
34250837430
-
An efficient algorithm for the generalized centro-symmetric solution of matrix equation AXB = C
-
Liang ML, You CH, Dai LF,. An efficient algorithm for the generalized centro-symmetric solution of matrix equation AXB = C. Numerical Algorithms 2007; 4: 173-184.
-
(2007)
Numerical Algorithms
, vol.4
, pp. 173-184
-
-
Liang, M.L.1
You, C.H.2
Dai, L.F.3
-
4
-
-
0032340222
-
Generalized reflexive matrices: Special properties and applications
-
Chen HC,. Generalized reflexive matrices: special properties and applications. SIAM Journal on Matrix Analysis and Applications 1998; 19: 140-153.
-
(1998)
SIAM Journal on Matrix Analysis and Applications
, vol.19
, pp. 140-153
-
-
Chen, H.C.1
-
5
-
-
0004236492
-
-
(3rd edn). The Johns Hopkins University Press: Baltimore and London
-
Golub GH, Van Loan CF,. Matrix Computations (3rd edn). The Johns Hopkins University Press: Baltimore and London, 1996.
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
8
-
-
10644221060
-
The solution to the matrix equation AV + BW = EVJ + R
-
Duan GR,. The solution to the matrix equation AV + BW = EVJ + R. Applied Mathematics Letters 2004; 17: 1197-1202.
-
(2004)
Applied Mathematics Letters
, vol.17
, pp. 1197-1202
-
-
Duan, G.R.1
-
9
-
-
0025421966
-
Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy-a survey and some new results
-
Frank PM,. Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy-a survey and some new results. Automatica 1990; 26: 459-474.
-
(1990)
Automatica
, vol.26
, pp. 459-474
-
-
Frank, P.M.1
-
11
-
-
70349629548
-
A lower bound for the product of eigenvalues of solutions to matrix equations
-
Dehghan M, Hajarian M,. A lower bound for the product of eigenvalues of solutions to matrix equations. Applied Mathematics Letters 2009; 22: 1786-1788.
-
(2009)
Applied Mathematics Letters
, vol.22
, pp. 1786-1788
-
-
Dehghan, M.1
Hajarian, M.2
-
13
-
-
37249058262
-
An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation AXB = C
-
DOI 10.1016/j.cam.2006.12.005, PII S0377042706007266
-
Huang GX, Yin F, Guo K,. An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation AXB = C. Journal of Computational and Applied Mathematics 2008; 212: 231-244. (Pubitemid 350266210)
-
(2008)
Journal of Computational and Applied Mathematics
, vol.212
, Issue.2
, pp. 231-244
-
-
Huang, G.-X.1
Yin, F.2
Guo, K.3
-
15
-
-
67949097329
-
Adaptive Monte Carlo methods for matrix equations with applications
-
Lai Y,. Adaptive Monte Carlo methods for matrix equations with applications. Journal of Computational and Applied Mathematics 2009; 231: 705-714.
-
(2009)
Journal of Computational and Applied Mathematics
, vol.231
, pp. 705-714
-
-
Lai, Y.1
-
16
-
-
31244432562
-
Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra
-
Wang QW, Sun JH, Li SZ,. Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra. Linear Algebra and its Applications 2002; 353: 169-182.
-
(2002)
Linear Algebra and Its Applications
, vol.353
, pp. 169-182
-
-
Wang, Q.W.1
Sun, J.H.2
Li, S.Z.3
-
17
-
-
2342617534
-
A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
-
Wang QW,. A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity. Linear Algebra and its Applications 2004; 384: 43-54.
-
(2004)
Linear Algebra and Its Applications
, vol.384
, pp. 43-54
-
-
Wang, Q.W.1
-
18
-
-
18444385093
-
The general solution to a system of real quaternion matrix equations
-
Wang QW,. The general solution to a system of real quaternion matrix equations. Computers and Mathematics with Applications 2005; 49: 665-675.
-
(2005)
Computers and Mathematics with Applications
, vol.49
, pp. 665-675
-
-
Wang, Q.W.1
-
19
-
-
43449090972
-
Least squares Hermitian solution of the matrix equation (AXB,CXD) = (E, F) with the least norm over the skew field of quaternions
-
DOI 10.1016/j.mcm.2007.08.009, PII S0895717707002841
-
Yuan S, Liao A, Lei Y,. Least squares Hermitian solution of the matrix equation image with the least norm over the skew field of quaternions. Mathematical and Computer Modelling 2008; 48: 91-100. (Pubitemid 351672222)
-
(2008)
Mathematical and Computer Modelling
, vol.48
, Issue.1-2
, pp. 91-100
-
-
Yuan, S.1
Liao, A.2
Lei, Y.3
-
20
-
-
77956363397
-
The reflexive and anti-reflexive solutions of a linear matrix equation and systems of matrix equations
-
Dehghan M, Hajarian M,. The reflexive and anti-reflexive solutions of a linear matrix equation and systems of matrix equations. Rocky Mountain Journal of Mathematics 2010; 40: 825-848.
-
(2010)
Rocky Mountain Journal of Mathematics
, vol.40
, pp. 825-848
-
-
Dehghan, M.1
Hajarian, M.2
-
21
-
-
0042096811
-
On the symmetric solutions of linear matrix equations
-
Dai H,. On the symmetric solutions of linear matrix equations. Linear Algebra and its Applications 1990; 131: 1-7.
-
(1990)
Linear Algebra and Its Applications
, vol.131
, pp. 1-7
-
-
Dai, H.1
-
22
-
-
38049084653
-
Symmetric solutions of linear matrix equations by matrix decompositions
-
Chu KE,. Symmetric solutions of linear matrix equations by matrix decompositions. Linear Algebra and its Applications 1989; 119: 35-50.
-
(1989)
Linear Algebra and Its Applications
, vol.119
, pp. 35-50
-
-
Chu, K.E.1
-
23
-
-
0037720091
-
On solutions of the matrix equations X - AXB = C and
-
Jiang T, Wei M,. On solutions of the matrix equations X-AXB = C and. Linear Algebra and its Applications 2003; 367: 429-436.
-
(2003)
Linear Algebra and Its Applications
, vol.367
, pp. 429-436
-
-
Jiang, T.1
Wei, M.2
-
24
-
-
0041784062
-
On solutions of matrix equation AXB + CYD = F
-
PII S0024379597100994
-
Xu G, Wei M, Zheng D,. On solutions of matrix equation AXB + CYD = F. Linear Algebra and its Applications 1998; 279: 93-109. (Pubitemid 128398908)
-
(1998)
Linear Algebra and Its Applications
, vol.279
, Issue.1-3
, pp. 93-109
-
-
Xu, G.1
Wei, M.2
Zheng, D.3
-
26
-
-
34249013831
-
A finite iterative method for solving a pair of linear matrix equations (AXB, CXD) = (E, F)
-
DOI 10.1016/j.amc.2006.12.026, PII S0096300306017218
-
Sheng X, Chen G,. A finite iterative method for solving a pair of linear matrix equations (AXB,CXD) = (E,F). Applied Mathematics and Computation 2007; 189: 1350-1358. (Pubitemid 46802751)
-
(2007)
Applied Mathematics and Computation
, vol.189
, Issue.2
, pp. 1350-1358
-
-
Sheng, X.1
Chen, G.2
-
27
-
-
30844444393
-
A new solution to the generalized Sylvester matrix equation AV - EVF = BW
-
DOI 10.1016/j.sysconle.2005.07.002, PII S0167691105001179
-
Zhou B, Duan GR,. A new solution to the generalized Sylvester matrix equation AV-EVF = BW. Systems and Control Letters 2006; 55: 193-198. (Pubitemid 43107554)
-
(2006)
Systems and Control Letters
, vol.55
, Issue.3
, pp. 193-198
-
-
Zhou, B.1
Duan, G.-R.2
-
28
-
-
17744390556
-
An explicit solution to the matrix equation AX - XF = by
-
DOI 10.1016/j.laa.2005.01.018, PII S0024379505000571
-
Zhou B, Duan GR,. An explicit solution to the matrix equation AX-XF = BY. Linear Algebra and its Applications 2005; 402: 345-366. (Pubitemid 40574444)
-
(2005)
Linear Algebra and Its Applications
, vol.402
, Issue.1-3
, pp. 345-366
-
-
Zhou, B.1
Duan, G.-R.2
-
29
-
-
34249092654
-
Solutions to generalized Sylvester matrix equation by Schur decomposition
-
DOI 10.1080/00207720601160215, PII 778787323
-
Zhou B, Duan GR,. Solutions to generalized Sylvester matrix equation by Schur decomposition. International Journal of Systems Science 2007; 38: 369-375. (Pubitemid 46782041)
-
(2007)
International Journal of Systems Science
, vol.38
, Issue.5
, pp. 369-375
-
-
Zhou, B.1
Duan, G.-R.2
-
30
-
-
43049136924
-
On the generalized Sylvester mapping and matrix equations
-
DOI 10.1016/j.sysconle.2007.08.010, PII S0167691107001156
-
Zhou B, Duan GR,. On the generalized Sylvester mapping and matrix equations. Systems and Control Letters 2008; 57: 200-208. (Pubitemid 351625360)
-
(2008)
Systems and Control Letters
, vol.57
, Issue.3
, pp. 200-208
-
-
Zhou, B.1
Duan, G.-R.2
-
31
-
-
58149346165
-
Weighted least squares solutions to general coupled Sylvester matrix equations
-
Zhou B, Li ZY, Duan GR, Wang Y,. Weighted least squares solutions to general coupled Sylvester matrix equations. Journal of Computational and Applied Mathematics 2009; 224: 759-776.
-
(2009)
Journal of Computational and Applied Mathematics
, vol.224
, pp. 759-776
-
-
Zhou, B.1
Li, Z.Y.2
Duan, G.R.3
Wang, Y.4
-
32
-
-
22144434326
-
Hierarchical gradient-based identification of multivariable discrete-time systems
-
DOI 10.1016/j.automatica.2004.10.010
-
Ding F, Chen T,. Hierarchical gradient-based identification of multivariable discrete-time systems. Automatica 2005; 41: 315-325. (Pubitemid 41536582)
-
(2005)
Automatica
, vol.41
, Issue.2
, pp. 315-325
-
-
Ding, F.1
Chen, T.2
-
33
-
-
10444247504
-
Iterative least squares solutions of coupled Sylvester matrix equations
-
Ding F, Chen T,. Iterative least squares solutions of coupled Sylvester matrix equations. Systems and Control Letters 2005; 54: 95-107.
-
(2005)
Systems and Control Letters
, vol.54
, pp. 95-107
-
-
Ding, F.1
Chen, T.2
-
34
-
-
26244448321
-
Gradient based iterative algorithms for solving a class of matrix equations
-
DOI 10.1109/TAC.2005.852558
-
Ding F, Chen T,. Gradient based iterative algorithms for solving a class of matrix equations. IEEE Transactions on Automatic Control 2005; 50: 1216-1221. (Pubitemid 41410122)
-
(2005)
IEEE Transactions on Automatic Control
, vol.50
, Issue.8
, pp. 1216-1221
-
-
Ding, F.1
Chen, T.2
-
35
-
-
38949156204
-
Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
-
DOI 10.1016/j.amc.2007.07.040, PII S0096300307007515
-
Ding F, Liu PX, Ding J,. Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle. Applied Mathematics and Computation 2008; 197: 41-50. (Pubitemid 351215477)
-
(2008)
Applied Mathematics and Computation
, vol.197
, Issue.1
, pp. 41-50
-
-
Ding, F.1
Liu, P.X.2
Ding, J.3
-
36
-
-
33751185751
-
On iterative solutions of general coupled matrix equations
-
DOI 10.1137/S0363012904441350
-
Ding F, Chen T,. On iterative solutions of general coupled matrix equations. SIAM Journal on Control and Optimization 2006; 44: 2269-2284. (Pubitemid 44775259)
-
(2006)
SIAM Journal on Control and Optimization
, vol.44
, Issue.6
, pp. 2269-2284
-
-
Ding, F.1
Chen, T.2
-
37
-
-
16244397443
-
Hierarchical least squares identification methods for multivariable systems
-
DOI 10.1109/TAC.2005.843856
-
Ding F, Chen T,. Hierarchical least squares identification methods for multivariable systems. IEEE Transactions on Automatic Control 2005; 50: 397-402. (Pubitemid 40448592)
-
(2005)
IEEE Transactions on Automatic Control
, vol.50
, Issue.3
, pp. 397-402
-
-
Ding, F.1
Chen, T.2
-
39
-
-
73149119779
-
The general coupled matrix equations over generalized bisymmetric matrices
-
Dehghan M, Hajarian M,. The general coupled matrix equations over generalized bisymmetric matrices. Linear Algebra and its Applications 2010; 432: 1531-1552.
-
(2010)
Linear Algebra and Its Applications
, vol.432
, pp. 1531-1552
-
-
Dehghan, M.1
Hajarian, M.2
-
40
-
-
77952921246
-
On the reflexive and anti-reflexive solutions of the generalized coupled Sylvester matrix equations
-
Dehghan M, Hajarian M,. On the reflexive and anti-reflexive solutions of the generalized coupled Sylvester matrix equations. International Journal of Systems Science 2010; 41: 607-625.
-
(2010)
International Journal of Systems Science
, vol.41
, pp. 607-625
-
-
Dehghan, M.1
Hajarian, M.2
-
41
-
-
48149092968
-
An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation
-
Dehghan M, Hajarian M,. An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation. Applied Mathematics and Computation 2008; 202: 571-588.
-
(2008)
Applied Mathematics and Computation
, vol.202
, pp. 571-588
-
-
Dehghan, M.1
Hajarian, M.2
-
42
-
-
79953198577
-
Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations
-
Dehghan M, Hajarian M,. Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations. Applied Mathematical Modelling 2011; 35: 3285-3300.
-
(2011)
Applied Mathematical Modelling
, vol.35
, pp. 3285-3300
-
-
Dehghan, M.1
Hajarian, M.2
-
43
-
-
78650509563
-
Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations
-
Dehghan M, Hajarian M,. Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations. Applied Mathematics Letters 2011; 24: 444-449.
-
(2011)
Applied Mathematics Letters
, vol.24
, pp. 444-449
-
-
Dehghan, M.1
Hajarian, M.2
-
46
-
-
0003713964
-
-
(2nd edn). Massachusetts Institute of Technology
-
Bertsekas DP,. Nonlinear Programming (2nd edn). Massachusetts Institute of Technology, 1999.
-
(1999)
Nonlinear Programming
-
-
Bertsekas, D.P.1
|