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Volumn 52, Issue 6-7, 2006, Pages 861-872

Ranks of Solutions of the Linear Matrix Equation AX + YB = C

Author keywords

Common solution; General solution; Generalized inverse; Matrix equation; Matrix rank method; Maximal rank; Minimal rank; Solvability condition

Indexed keywords

INVERSE PROBLEMS; MATRIX ALGEBRA; PROBLEM SOLVING;

EID: 33846888534     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.05.011     Document Type: Article
Times cited : (27)

References (12)
  • 2
    • 38149012697 scopus 로고
    • The solution of the matrix equations AXB - CXD = E and (YA - DZ, YC - BZ) = (E, F)
    • Chu K.E. The solution of the matrix equations AXB - CXD = E and (YA - DZ, YC - BZ) = (E, F). Linear Algebra Appl. 93 (1987) 93-105
    • (1987) Linear Algebra Appl. , vol.93 , pp. 93-105
    • Chu, K.E.1
  • 3
    • 0039616726 scopus 로고
    • On the matrix equations AX - XB = C and AX - YB = C
    • Franders H., and Wimmer H. On the matrix equations AX - XB = C and AX - YB = C. SIAM J. Appl. Math. 32 (1977) 707-710
    • (1977) SIAM J. Appl. Math. , vol.32 , pp. 707-710
    • Franders, H.1    Wimmer, H.2
  • 4
    • 0345873816 scopus 로고
    • Roth equivalence problem in unit regular rings
    • Hartwig R. Roth 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.1
  • 5
    • 84968484501 scopus 로고
    • The equations AX - YB = C and AX - XB = c in matrices
    • Roth R. The equations 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, R.1
  • 6
    • 3042608921 scopus 로고    scopus 로고
    • The minimal rank of the matrix expression A - BX - YC
    • Tian Y. The minimal rank of the matrix expression A - BX - YC. Missouri J. Math. Sci. 14 (2002) 40-48
    • (2002) Missouri J. Math. Sci. , vol.14 , pp. 40-48
    • Tian, Y.1
  • 7
    • 0038568318 scopus 로고    scopus 로고
    • Upper and lower bounds for ranks of matrix expressions using generalized inverses
    • Tian Y. Upper and lower bounds for ranks of matrix expressions using generalized inverses. Linear Algebra Appl. 355 (2002) 187-214
    • (2002) Linear Algebra Appl. , vol.355 , pp. 187-214
    • Tian, Y.1
  • 8
    • 0038586505 scopus 로고    scopus 로고
    • Ranks of solutions of the matrix equation AXB = C
    • Tian Y. Ranks of solutions of the matrix equation AXB = C. Linear and Multilinear Algebra 51 (2003) 111-125
    • (2003) Linear and Multilinear Algebra , vol.51 , pp. 111-125
    • Tian, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.