iterative method for mirror-symmetric solution of matrix equation axb + cy d = e
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Iterative Method for Mirror-symmetric Solution of Matrix Equation Axb + Cy D = E
Mirror-symmetric matrices have important applications in studying odd/even-mode decomposition of symmetric multiconductor transmission lines (MTL). In this paper, we propose an iterative algorithm to solve the mirror-symmetric solution of matrix equation AXB + CY D = E. With it, the solvability of the equation over mirror-symmetric X, Y can be determined automatically. When the equation is cons...
full textAn Iterative Method for the Generalized Centro-symmetric Solution of a Linear Matrix Equation Axb + Cy D = E
A matrix P ∈ Rn×n is said to be a symmetric orthogonal matrix if P = P T = P−1. A matrix A ∈ Rn×n is said to be generalized centro-symmetric (generalized central anti-symmetric )with respect to P , if A = PAP (A = −PAP ). In this paper, an iterative method is constructed to solve the generalized centrosymmetric solutions of a linear matrix equation AXB + CY D = E, with real pair matrices X and ...
full textIterative solutions to the linear matrix equation AXB + CXTD = E
In this paper the gradient based iterative algorithm is presented to solve the linear matrix equation AXB +CXD = E, where X is unknown matrix, A,B,C,D,E are the given constant matrices. It is proved that if the equation has a solution, then the unique minimum norm solution can be obtained by choosing a special kind of initial matrices. Two numerical examples show that the introduced iterative a...
full textRanks and Independence of Solutions of the Matrix Equation Axb + Cy D = M
Suppose AXB + CY D = M is a consistent matrix equation. In this paper, we give some formulas for the maximal and minimal ranks of two solutions X and Y to the equation. In addition, we investigate the independence of solutions X and Y to this equation.
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Journal title:
bulletin of the iranian mathematical societyPublisher: iranian mathematical society (ims)
ISSN 1017-060X
volume 36
issue No. 2 2011
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