SCOPUS 정보 검색 플랫폼

Volumn 17, Issue 6, 2004, Pages 543-547

The general common nonnegative-definite and positive-definite solutions to the matrix equations AXA* = BB* and CXC* = DD*

Author keywords

Column space; Generalized inverse; Matrix equation; Nonnegative definite solution; Nullspace; Positive definite solution

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

MATRIX EQUATIONS; NONNEGATIVE-DEFINITE SOLUTION; POSITIVE-DEFINITE SOLUTION;

MATRIX ALGEBRA;

EID: 3242660874 PISSN: 08939659 EISSN: None Source Type: Journal
DOI: 10.1016/j.aml.2003.05.010 Document Type: Article

Times cited : (4)

References (10)

1
- 0343621607
- Independence distribution preserving covariance structures for the multivariate model
- D.M. Young, J.W. Seaman, Jr. and L.M. Meaux, Independence distribution preserving covariance structures for the multivariate model, J. Multivariate Anal. 68, 165-175, (1999).
- (1999) J. Multivariate Anal. , vol.68 , pp. 165-175
- Young, D.M.¹ Seaman Jr., J.W.² Meaux, L.M.³

2
- 18144433136
- Nonnegative-define and positive solutions to the matrix equation AXA* = B - Revisited
- J. Groß, Nonnegative-define and positive solutions to the matrix equation AXA* = B - Revisited, Linear Algebra Appl. 321, 123-129, (2000).
- (2000) Linear Algebra Appl. , vol.321 , pp. 123-129
- Groß, J.¹

3
- 0038425666
- Nonnegative definite and positive definite solutions to the matrix equation AXA* = B
- J.K. Baksalary, Nonnegative definite and positive definite solutions to the matrix equation AXA* = B, Linear and Multilinear Algebra 16, 133-139, (1984).
- (1984) Linear and Multilinear Algebra , vol.16 , pp. 133-139
- Baksalary, J.K.¹

4
- 0038763665
- Hermitian and nonnegative definite solutions of linear matrix equations
- C.G. Khatri and S.K. Mitra, Hermitian and nonnegative definite solutions of linear matrix equations, SIAM J. Appl. Math. 31, 579-585, (1976).
- (1976) SIAM J. Appl. Math. , vol.31 , pp. 579-585
- Khatri, C.G.¹ Mitra, S.K.²

5
- 0038638353
- The rank-constrained Hermitian nonnegative-definite and positive-definite solutions to the matrix equation AXA* = B
- X. Zhang and M.-Y. Cheng, The rank-constrained Hermitian nonnegative-definite and positive-definite solutions to the matrix equation AXA* = B, Linear Algebra Appl. 370, 163-174, (2003).
- (2003) Linear Algebra Appl. , vol.370 , pp. 163-174
- Zhang, X.¹ Cheng, M.-Y.²

6
- 0037749341
- Linear matrix equations from an inverse problem of vibration theory
- H. Dai and P. Lancaster, Linear matrix equations from an inverse problem of vibration theory, Linear Algebra Appl. 246, 31-47, (1996).
- (1996) Linear Algebra Appl. , vol.246 , pp. 31-47
- Dai, H.¹ Lancaster, P.²

7
- 0003680306
- John Wiley, New York
- C.R. Rao and S.K. Mitra, Generalized Inverse of Matrices and Its Applications, John Wiley, New York, (1971).
- (1971) Generalized Inverse of Matrices and Its Applications
- Rao, C.R.¹ Mitra, S.K.²

8
- 0342344963
- Clarendon Press, Oxford
- J.N. Buxton, R.F. Churchouse and A.B. Tayler, Matrices Methods and Applications, Clarendon Press, Oxford, (1990).
- (1990) Matrices Methods and Applications
- Buxton, J.N.¹ Churchouse, R.F.² Tayler, A.B.³

9
- 0010082579
- Tata McGraw-Hill, New Delhi
- A.R. Rao and P. Bhimasankaram, Linear Algebra, Tata McGraw-Hill, New Delhi, (1992).
- (1992) Linear Algebra
- Rao, A.R.¹ Bhimasankaram, P.²

10
- 0002103955
- When does rank(A+B) = Rank A+rankB?
- G. Marsaglia and G.P.H. Styan, When does rank(A+B) = rank A+rankB?, Canad. Math. Bull. 15, 451-452, (1972).
- (1972) Canad. Math. Bull. , vol.15 , pp. 451-452
- Marsaglia, G.¹ Styan, G.P.H.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.