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Volumn 384, Issue 1-3 SUPPL., 2004, Pages 43-54

A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity

Author keywords

Inner inverse of a matrix; Linear matrix equation; Reflexive inverse of a matrix; Regular ring; System of matrix equations

Indexed keywords

INVERSE PROBLEMS; PROBLEM SOLVING; THEOREM PROVING;

EID: 2342617534     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2003.12.039     Document Type: Article
Times cited : (140)

References (32)
  • 2
    • 44949289177 scopus 로고
    • A pair of simultaneous linear matrix equations and a matrix programming problem
    • Mitra S.K. A pair of simultaneous linear matrix equations and a matrix programming problem. Linear Algebra Appl. 131:1990;97-123.
    • (1990) Linear Algebra Appl. , vol.131 , pp. 97-123
    • Mitra, S.K.1
  • 3
    • 0343186021 scopus 로고
    • Consistency of a pair of matrix equations with an application
    • Shinozaki N., Sibuya M. Consistency of a pair of matrix equations with an application. Keio Eng. Rep. 27:1974;141-146.
    • (1974) Keio Eng. Rep. , vol.27 , pp. 141-146
    • Shinozaki, N.1    Sibuya, M.2
  • 5
    • 0023366040 scopus 로고
    • Almost noninteracting control by measurement feedback
    • Van der Woulde J. Almost noninteracting control by measurement feedback. Systems Control Lett. 9:1987;7-16.
    • (1987) Systems Control Lett. , vol.9 , pp. 7-16
    • Van der Woulde, J.1
  • 6
    • 44949268764 scopus 로고
    • A common solution to a pair of linear matrix equations over a principle domain
    • Özgüler A.B., Akar N. A common solution to a pair of linear matrix equations over a principle domain. Linear Algebra Appl. 144:1991;85-99.
    • (1991) Linear Algebra Appl. , vol.144 , pp. 85-99
    • Özgüler, A.B.1    Akar, N.2
  • 8
    • 2342639118 scopus 로고    scopus 로고
    • The decomposition of pairwise matrices and matrix equations over an arbitrary skew field
    • (in Chinese)
    • Wang Q.W. The decomposition of pairwise matrices and matrix equations over an arbitrary skew field. Acta Math. Sinica. 39(3):1996;396-403. (in Chinese).
    • (1996) Acta Math. Sinica , vol.39 , Issue.3 , pp. 396-403
    • Wang, Q.W.1
  • 9
    • 84968484501 scopus 로고
    • The equation AX-YB=C and AX-XB=C in matrices
    • Roth W.E. The equation. AX-YB=C and AX-XB=C in matrices Proc. Amer. Math. Soc. 3:1952;392-396.
    • (1952) Proc. Amer. Math. Soc. , vol.3 , pp. 392-396
    • Roth, W.E.1
  • 10
    • 0345873816 scopus 로고
    • Roth's equivalence problem in unit regular rings
    • Hartwig R.E. Roth's equivalence problem in unit regular rings. Proc. Amer. Math. Soc. 59:1976;39-44.
    • (1976) Proc. Amer. Math. Soc. , vol.59 , pp. 39-44
    • Hartwig, R.E.1
  • 11
    • 49049126003 scopus 로고
    • Roth's removal rule revisited
    • Hartwig R. Roth's removal rule revisited. Linear Algebra Appl. 49:1984;91-115.
    • (1984) Linear Algebra Appl. , vol.49 , pp. 91-115
    • Hartwig, R.1
  • 12
    • 21444448353 scopus 로고    scopus 로고
    • The generalized inverses of a sum with Radical elements: Applications
    • Huylebrouck D. The generalized inverses of a sum with Radical elements: applications. Linear Algebra Appl. 246:1996;159-175.
    • (1996) Linear Algebra Appl. , vol.246 , pp. 159-175
    • Huylebrouck, D.1
  • 13
    • 0039579458 scopus 로고
    • Matrix equivalence and isomorphism of modules
    • Guralnick R.M. Matrix equivalence and isomorphism of modules. Linear Algebra Appl. 43:1982;125-136.
    • (1982) Linear Algebra Appl. , vol.43 , pp. 125-136
    • Guralnick, R.M.1
  • 14
    • 0039579459 scopus 로고
    • Roth's theorems and decomposition of modules
    • Guralnick R.M. Roth's theorems and decomposition of modules. Linear Algebra Appl. 39:1981;155-165.
    • (1981) Linear Algebra Appl. , vol.39 , pp. 155-165
    • Guralnick, R.M.1
  • 15
    • 2342581666 scopus 로고
    • Roth's theorems for sets of matrices
    • Guralnick R.M. Roth's theorems for sets of matrices. Linear Algebra Appl. 71:1985;113-117.
    • (1985) Linear Algebra Appl. , vol.71 , pp. 113-117
    • Guralnick, R.M.1
  • 16
  • 17
    • 0042338829 scopus 로고
    • Roth's theorems over commutative rings
    • Gustafson W. Roth's theorems over commutative rings. Linear Algebra Appl. 23:1979;245-251.
    • (1979) Linear Algebra Appl. , vol.23 , pp. 245-251
    • Gustafson, W.1
  • 18
    • 21344490480 scopus 로고
    • Roth's theorems for matrix equations with symmetry constraints
    • Wimmer H.K. Roth's theorems for matrix equations with symmetry constraints. Linear Algebra Appl. 199:1994;357-362.
    • (1994) Linear Algebra Appl. , vol.199 , pp. 357-362
    • Wimmer, H.K.1
  • 19
    • 0039123490 scopus 로고
    • Linear matrix equations: The module theoretic approach
    • Wimmer H.K. Linear matrix equations: the module theoretic approach. Linear Algebra Appl. 120:1989;149-164.
    • (1989) Linear Algebra Appl. , vol.120 , pp. 149-164
    • Wimmer, H.K.1
  • 20
    • 0028433776 scopus 로고
    • Consistency of a pair of generalized Sylvester equations
    • Wimmer H.K. Consistency of a pair of generalized Sylvester equations. IEEE Trans. Automat. Control. 39:1994;1014-1016.
    • (1994) IEEE Trans. Automat. Control , vol.39 , pp. 1014-1016
    • Wimmer, H.K.1
  • 21
    • 0009205273 scopus 로고    scopus 로고
    • Sylvester matrix equation for matrix quadruples
    • Beitia M.A., Gracia J.M. Sylvester matrix equation for matrix quadruples. Linear Algebra Appl. 232:1996;155-197.
    • (1996) Linear Algebra Appl. , vol.232 , pp. 155-197
    • Beitia, M.A.1    Gracia, J.M.2
  • 22
    • 0039967621 scopus 로고    scopus 로고
    • The extension of Roth's theorem for matrix equations over a ring
    • Huang L., Liu J. The extension of Roth's theorem for matrix equations over a ring. Linear Algebra Appl. 259:1997;229-235.
    • (1997) Linear Algebra Appl. , vol.259 , pp. 229-235
    • Huang, L.1    Liu, J.2
  • 23
    • 2342472828 scopus 로고    scopus 로고
    • Roth's theorems for centroselfconjugate and centroskewselfconjugate solutions to systems of linear matrix equations over a finite dimensional central algebra
    • in press
    • Q.W. Wang, Roth's theorems for centroselfconjugate and centroskewselfconjugate solutions to systems of linear matrix equations over a finite dimensional central algebra, Southeast Asian Bull. Math. 27, in press.
    • Southeast Asian Bull. Math. , vol.27
    • Wang, Q.W.1
  • 24
    • 31244432562 scopus 로고    scopus 로고
    • Consistency for bi(skew) symmetric solutions to systems of generalized Sylvester equations over a finite central algebra
    • Wang Q.W., Sun J.H., Li S.Z. Consistency for bi(skew) symmetric solutions to systems of generalized Sylvester equations over a finite central algebra. Linear Algebra Appl. 353:2002;169-182.
    • (2002) Linear Algebra Appl. , vol.353 , pp. 169-182
    • Wang, Q.W.1    Sun, J.H.2    Li, S.Z.3
  • 25
    • 2342593451 scopus 로고    scopus 로고
    • On the center (skew-)self-conjugate solutions to the systems of matrix equations over a finite dimensional central algebra
    • Wang Q.W. On the center (skew-)self-conjugate solutions to the systems of matrix equations over a finite dimensional central algebra. Math. Sci. Res. Hot-Line. 5(12):2001;11-17.
    • (2001) Math. Sci. Res. Hot-line , vol.5 , Issue.12 , pp. 11-17
    • Wang, Q.W.1
  • 26
    • 2342451425 scopus 로고    scopus 로고
    • Persymmetric and perskewsymmetric solutions to sets of matrix equations over a finite central algebra
    • Wang Q.W., Li S.Z. Persymmetric and perskewsymmetric solutions to sets of matrix equations over a finite central algebra. Acta Math. Sinica. 47(1):2004;27-34.
    • (2004) Acta Math. Sinica , vol.47 , Issue.1 , pp. 27-34
    • Wang, Q.W.1    Li, S.Z.2
  • 27
    • 2342488940 scopus 로고    scopus 로고
    • The consistency of systems of matrix equations over a finite central algebra
    • Wang Q.W., Sun J.H. The consistency of systems of matrix equations over a finite central algebra. J. Natur. Sci. Math. 41(1):2001;61-69.
    • (2001) J. Natur. Sci. Math. , vol.41 , Issue.1 , pp. 61-69
    • Wang, Q.W.1    Sun, J.H.2
  • 29
    • 0010749217 scopus 로고
    • The matrix equation AXB+CYD=E over a principal ideal domain
    • Özgüler A.B. The matrix equation. AXB+CYD=E over a principal ideal domain SIAM J. Matrix Anal. Appl. 12:1991;581-591.
    • (1991) SIAM J. Matrix Anal. Appl. , vol.12 , pp. 581-591
    • Özgüler, A.B.1
  • 30
    • 84947691588 scopus 로고
    • The solvability of matrix equation AXB+CYD=E over a simple Artinian ring
    • Huang L., Zeng Q. The solvability of matrix equation. AXB+CYD=E over a simple Artinian ring Linear and Multilinear Algebra. 38:1995;225-232.
    • (1995) Linear and Multilinear Algebra , vol.38 , pp. 225-232
    • Huang, L.1    Zeng, Q.2
  • 31
    • 2342587608 scopus 로고    scopus 로고
    • The solvability of matrix equation AXB+CYD=E over a ring
    • (in Chinese)
    • Huang L. The solvability of matrix equation. AXB+CYD=E over a ring Adv. Math. (China). 26(3):1997;269-275. (in Chinese).
    • (1997) Adv. Math. (China) , vol.26 , Issue.3 , pp. 269-275
    • Huang, L.1
  • 32
    • 84968509363 scopus 로고
    • The maximal regular ideal of a ring
    • Brown B., McCoy N.H. The maximal regular ideal of a ring. Proc. Amer. Math. Soc. 1:1952;165-171.
    • (1952) Proc. Amer. Math. Soc. , vol.1 , pp. 165-171
    • Brown, B.1    McCoy, N.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.