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The general Hermitian nonnegative-definite and positive-definite solutions to the matrix equationGXG*+HYH*=C

✍ Scribed by Xian Zhang

Book ID
105662906
Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
194 KB
Volume
14
Category
Article
ISSN
1598-5865

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πŸ“œ SIMILAR VOLUMES

The rank-constrained Hermitian nonnegati
The rank-constrained Hermitian nonnegative-definite and positive-definite solutions to the matrix equation AXAβˆ—=B
✍ Xian Zhang; Mei-yu Cheng πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 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

The general common nonnegative-definite
The general common nonnegative-definite and positive-definite solutions to the matrix equations AXAβˆ— = BBβˆ— and CXCβˆ— = DDβˆ—
✍ Xian Zhang; Mei-Yu Cheng πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 276 KB

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