The general solution to a system of real quaternion matrix equations

Computers and Mathematics with Applications

Volumn 49, Issue 5-6, 2005, Pages 665-675

  Wang, Qing Wen ^a  

^a SHANGHAI UNIVERSITY   (China)

Author keywords

Inner inverse of a matrix; Quaternion matrix equation; Real quaternion algebra; Reflexive inverse of a matrix; System of quaternion matrix equations

Indexed keywords

BOUNDARY CONDITIONS; EQUATIONS OF MOTION; ESTIMATION; MATHEMATICAL MODELS; SET THEORY;

INNER INVERSE OF A MATRIX; QUATERNION MATRIX EQUATIONS; REAL QUATERNION ALGEBRA; REFLEXIVE INVERSE OF A MATRIX; SYSTEM OF QUATERNION MATRIX EQUATIONS;

MATRIX ALGEBRA;

EID: 18444385093     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2004.12.002     Document Type: Article

References (26)

1. 2 with applications Computers Math. Applic. 41 7/8 2001 929 935
2. 2 Proc. Cambridge Philos. Soc. 74 1973 213 216
3. S.K. Mitra A pair of simultaneous linear matrix equations and a matrix programming problem Linear Algebra and Appl. 131 1990 97 123
4. N. Shinozaki, and M. Sibuya Consistency of a pair of matrix equations with an application Keio Engrg. Rep. 27 1974 141 146
5. J. Van der Woulde Feedback decoupling and stabilization for linear system with multiple exogenous variables Ph.D. Thesis 1987 Technical Univ. of Eindhoven
6. J. Van der Woulde Almost noninteracting control by measurement feedback Systems Control Lett. 9 1987 7 16
7. A.B. Özgüler, and N. Akar A common solution to a pair of linear matrix equations over a principle domain Linear Algebra Appl. 144 1991 85 99
8. also see MR 97i:15018 Q.W. Wang The decomposition of pairwise matrices and matrix equations over an arbitrary skew field Acta Math. Sinica 39 3 1996 396 403
9. Q.W. Wang A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity Linear Algebra Appl. 384 2004 43 54
10. Y. Tian The solvability of two linear matrix equations Linear and Multilinear Algebra 48 2000 123 147
11. P. Bhimasankaram Common solutions to the linear matrix equations AX = B, CX = D, and EXF = G Sankhya Ser. A 38 1976 404 409
12. J.W. Shuai The quaternion NN model: The identification of colour images (in Chinese) Acta Comput. Sinica 18 5 1995 372 379
13. A. Rezon, and L.P. Horwitz Uniqueness of the scalar product in the tensor product of quaternion Hilbert modules J. Math. Physical Sci. 33 9 1992 3098 3104
14. S.L. Adler Quaternionic Quantum Mechanics and Quantum Fields 1994 Oxford U.P. Netherlands
15. F. Zhang On numerical range of normal matrices of quaternions J. Math. Physical Sci. 29 6 1995 235 251
16. F. Zhang Permanent inequalities and quaternion matrices Ph.D. Dissertation 1993 Univ. of California New York
17. F. Zhang Quaternions and matrices of quaternions Linear Algebra Appl 251 1997 21 57
18. A.C. Aitken Determinants and Matrices 1939 Oliver and Boyd Santa Barbara, CA
19. L. Datta, and S.D. Morgera On the reducibility of centrosymmetric matrices-applications in engineering problems Circuits Systems Sig. Proc. 8 1 1989 71 96
20. A. Cantoni, and P. Butler Eigenvalues and eigenvectors of symmetric centrosymmetric matrices Linear Algebra Appl. 13 1976 275 288
21. J.R. Weaver Centrosymmetric (cross-symmetric) matrices, their basic properties, eigenvalues, eigenvectors Amer. Math. Monthly 92 1985 711 717
22. A. Lee Centrohermitian and skew-centrohermitian matrices Linear Algebra Appl. 29 1980 205 210
23. A.L. Andrew Centrosymmetric matrices SIAM Rev. 40 1998 697 698
24. I.S. Pressman Matrices with multiple symmetry properties:applications of centrohermitian and perhermitian matrices Linear Algebra Appl. 284 1998 239 258
25. Q.W. Wang, J.H. Sun, and S.Z. Li Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra Linear Algebra Appl. 353 2002 169 182
26. A. Melman Symmetric centrosymmetric matrix-vector multiplication Linear Algebra Appl. 320 2000 193 198