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Least Squares Hermitian Problem of Matrix Equation (AXB, CXD) = (E, F) Associated with Indeterminate Admittance Matrices

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Document pages: 16 pages

Abstract: For A∈CmΧn, if the sum of the elements in each row and the sumof the elements in each column are both equal to 0, then A is called an indeterminate admittance matrix. If A is an indeterminate admittance matrixand a Hermitian matrix, then A iscalled a Hermitian indeterminate admittance matrix. In this paper, we provide two methods to study the least squares Hermitianindeterminate admittance problem of complex matrix equation (AXB,CXD)=(E,F), and give the explicit expressions of least squaresHermitian indeterminate admittance solution with the least norm in each method.We mainly adopt the Moore-Penrose generalized inverse and Kronecker product inMethod I and a matrix-vector product in Method II, respectively.

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