The common Re-nonnegative definite and Re-positive definite solutions to the matrix equations $ A_1XA_1^\ast = C_1 $ and $ A_2XA_2^\ast = C_2 $
Copyright policy )The common Re-nonnegative definite and Re-positive definite solutions to the matrix equations $ A_1XA_1^\ast = C_1 $ and $ A_2XA_2^\ast = C_2 $
<abstract><p>In this paper, we consider the common Re-nonnegative definite (Re-nnd) and Re-positive definite (Re-pd) solutions to a pair of linear matrix equations $ A_1XA_1^\ast = C_1, \ A_2XA_2^\ast = C_2 $ and present some necessary and sufficient conditions for their solvability as well as the explicit expressions for the general common Re-nnd and Re-pd solutions when the consistent conditions are satisfied.</p></abstract>
- Hubei Normal University China (People's Republic of)
Eigenvalues, singular values, and eigenvectors, re-nonnegative definite solution, Matrix equations and identities, Moore-Penrose inverse, Applications of generalized inverses, matrix equation, QA1-939, Hermitian, skew-Hermitian, and related matrices, moore-penrose inverse, re-positive definite solution, Mathematics, generalized singular value decomposition
Eigenvalues, singular values, and eigenvectors, re-nonnegative definite solution, Matrix equations and identities, Moore-Penrose inverse, Applications of generalized inverses, matrix equation, QA1-939, Hermitian, skew-Hermitian, and related matrices, moore-penrose inverse, re-positive definite solution, Mathematics, generalized singular value decomposition
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