The rank-constrained Hermitian nonnegative-definite and positive-definite solutions to the matrix equation AXA∗=B
نویسندگان
چکیده
منابع مشابه
The General Hermitian Nonnegative-definite Solution to the Matrix Equation Axa∗ + by B∗ = C
Consider the matrix equation AXA∗ + BY B∗ = C. A matrix pair (X0, Y0) is called a Hermitian nonnegative-definite solution to the matrix equation if X0 and Y0 are Hermitian nonnegative-definite and satisfy AX0A∗ + BY0B∗ = C. We give necessary and sufficient conditions for the existence of a Hermitian nonnegative-definite solution to the matrix equation, and further derive a representation of the...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2003
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(03)00385-9