Nonnegative-definite and positive-definite solutions to the matrix equationAXA*=B - Revisited

Linear Algebra and Its Applications

Volumn 321, Issue 1-3, 2000, Pages 123-129

  Groß, Jürgen ^a  

^a TU DORTMUND UNIVERSITY   (Germany)

Author keywords

15A06; 15A09; Generalized inverse; Matrix equation; Nonnegative definiteness; Rank

Indexed keywords

EID: 18144433136     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(00)00033-1     Document Type: Article

References (7)

1. *=B Linear and Multilinear Algebra. 16:1984;133-139.
2. Dai H., Lancaster P. Linear matrix equations from an inverse problem of vibration theory. Linear Algebra Appl. 246:1996;31-47.
3. *=B Bull. Malay. Math. Soc. 21:1998;57-62.
4. Khatri C.G., Mitra S.K. Hermitian and nonnegative definite solutions of linear matrix equations. SIAM J. Appl. Math. 31:1976;579-585.
5. Mitra S.K. Fixed rank solutions of linear matrix equations. Sankhy. ā Ser. A 35:1972;387-392.
6. Rao A.R., Bhimasankaram P. Linear Algebra. 1992;Tata McGraw-Hill, New Delhi.
7. Young D.M., Seaman J.W. Jr., Meaux L.M. Independence distribution preserving covariance structures for the multivariate model. J. Multivariate Anal. 68:1999;165-175.