Extremal ranks of submatrices in an Hermitian solution to the matrix equation AXA *=B with applications
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s12190-009-0251-8.pdf
Reference22 articles.
1. Baksalary, J.K.: Nonnegative definite and positive definite solutions to the matrix equation AXA *=B. Linear Multilinear Algebra 16, 133–139 (1984)
2. Chang, X., Wang, J.: The symmetric solution of the matrix equations AX+YA=C, AXA T +BYB T =C and (A T XA,B T XB)=(C,D). Linear Algebra Appl. 179, 171–189 (1993)
3. Dai, H., Lancaster, P.: Linear matrix equations from an inverse problem of vibration theory. Linear Algebra Appl. 246, 31–47 (1996)
4. Groß, J.: Nonnegative-definite and positive-definite solution to the matrix equation AXA *=B-revisited. Linear Algebra Appl. 321, 123–129 (2000)
5. Khatri, C.G., Mitra, S.K.: Hermitian and nonnegative definite solutions of linear matrix equations. SIAM J. Appl. Math. 31, 579–585 (1976)
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