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초록· 키워드
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In this paper we consider the solvability and describe the set
of the solutions of the operator equations AX + X*C = B and AXB + B*X*A*= C.
This generalizes the results of D. S. Djordjevi´c [Explicit solution of the
operator equation A*X+X*A=B, J. Comput. Appl. Math. 200 (2007), 701–704].
목차
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참고문헌 (10)
참고문헌 신청
A. Ben-Israel / 2003 / Generalized Inverses, Theory and applications. Second edition. CMS Books in Mathematics/Ouvrages de Mathematiques de la SMC / Springer-Verlag : 15 ~
D. C. Sorensen / 2002 / The Sylvester equation and approximate balanced reduction / Linear Algebra and its Applications 351 : 671 ~ 700
D. S. Djordjevi´c / 2007 / Explicit solution of the operator equation A?X+X?A = B / Journal of Computational and Applied Mathematics 200 (2) : 701 ~ 704
G. Kitagawa / 1977 / An algorithm for solving the matrix equation X = FXFT + S / International Journal of Control 25 (5) : 745 ~ 753
P. Kirrinnis / 2001 / Fast algorithms for the Sylvester equation AX ? XB? = C / Theoretical Computer Science 259 (1) : 623 ~ 638
D. C. Sorensen / 2002 / The Sylvester equation and approximate balanced reduction / Linear Algebra and its Applications 351 : 671 ~ 700
D. S. Djordjevi´c / 2007 / Explicit solution of the operator equation A?X+X?A = B / Journal of Computational and Applied Mathematics 200 (2) : 701 ~ 704
G. Kitagawa / 1977 / An algorithm for solving the matrix equation X = FXFT + S / International Journal of Control 25 (5) : 745 ~ 753
P. Kirrinnis / 2001 / Fast algorithms for the Sylvester equation AX ? XB? = C / Theoretical Computer Science 259 (1) : 623 ~ 638
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