Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations

Computers and Mathematics with Applications

Volumn 49, Issue 5-6, 2005, Pages 641-650

  Wang, Qing Wen ^a  

^a SHANGHAI UNIVERSITY   (China)

Author keywords

Bisymmetric matrix; Centrosymmetric matrix; Inner inverse of a matrix; Reflexive inverse of a matrix; System of quaternion matrix equations

Indexed keywords

EQUATIONS OF MOTION; ESTIMATION; LINEAR EQUATIONS; MATHEMATICAL MODELS; NUMERICAL METHODS; SET THEORY;

BISYMMETRIC MATRIX; CENTROSYMMETRIC MATRIX; INNER INVERSE OF A MATRIX; REFLEXIVE INVERSE OF A MATRIX; SYSTEM OF QUATERNION MATRIX EQUATIONS;

MATRIX ALGEBRA;

EID: 18444409047     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.01.014     Document Type: Article

References (20)

1. C.G. Khatri, and S.K. Mitra Hermitian and nonnegative definite solutions of linear matrix equations SIAM J. Appl. Math. 31 1976 578 585
2. W.J. Vetter Vector structures and solutions of linear matrix equations Linear Algebra Appl. 9 1975 181 188
3. J.R. Magnus, and H. Neudecker The elimination matrix: Some lemmas and applications SIAM J. Algebraic Discrete Methods 1 1980 422 428
4. F.J. Henk Don On the symmetric solutions of a linear matrix equation Linear Algebra Appl. 93 1987 1 7
5. H. Dai On the symmetric solution of linear matrix equations Linear Algebra Appl. 131 1990 1 7
6. 2 with applications Comput. Math. Applic. 41 7/8 2001 929 935
7. A.C. Aitken Determinants and Matrices 1939 Oliver and Boyd
8. L. Datta, and S.D. Morgera On the reducibility of centrosymmetric matrices-Applications in engineering problems Circuits Systems Sig. Proc. 8 1989 71 96 1
9. A. Cantoni, and P. Butler Eigenvalues and eigenvectors of symmetric centrosymmetric matrices Linear Algebra Appl. 13 1976 275 288
10. J.R. Weaver Centrosymmetric (cross-symmetric) matrices, their basic properties, eigenvalues, eigenvectors Amer. Math. Monthly 92 1985 711 717
11. A. Lee Centrohermitian and skew-centrohermitian matrices Linear Algebra Appl. 29 1980 205 210
12. R.D. Hell, R.G. Bates, and S.R. Waters On centrohermitian matrices SIAM J. Matrix Anal. Appl. 11 1 1990 128 133
13. R.D. Hell, R.G. Bates, and S.R. Waters On perhermitian matrices SIAM J. Matrix Anal. Appl. 11 2 1990 173 179
14. R.M. Reid Some eigenvalues properties of persymmetric matrices SIAM Rev. 39 1997 313 316
15. A.L. Andrew Centrosymmetric matrices SIAM Rev. 40 1998 697 698
16. I.S. Pressman Matrices with multiple symmetry properties: Applications of centrohermitian and perhermitian matrices Linear Algebra Appl. 284 1998 239 258
17. A. Melman Symmetric centrosymmetric matrix-Vector multiplication Linear Algebra Appl. 320 2000 193 198
18. Q.W. Wang The general solution to a system of real quaternion matrix equations Comput. Math. Applic. 49 5/6 2005 665 675
19. 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
20. 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