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Nonnegative-definite and positive-definite solutions to the matrix equationAXA∗=B – revisited

✍ Scribed by Jürgen Groß


Book ID
108360509
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
70 KB
Volume
321
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES


The rank-constrained Hermitian nonnegati
✍ Xian Zhang; Mei-yu Cheng 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 118 KB

A simple representation of the general rank-constrained Hermitian nonnegative-definite (positive-definite) solution to the matrix equation AXA \* = B is derived. As medium steps, the general Hermitian solution and the general Hermitian nonnegative-definite (positive-definite) solution to the matrix

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We give necessaxy and sufficient conditions for the existence of a common nonnegativedefinite (positive-definite) solution to the pair of matrix equations AXA\* = BB\* and CXC\* = DD\*, and derive a representation of the general common nonnegative-definite (positive-definite) solution to these two e