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Gradient-Based Iterative Algorithm for a Coupled Complex Conjugate and Transpose Matrix Equations
School of Management Science and Engineering, Anhui University of Finance & Economics, Bengbu, China
College of Information & Network Engineering, Anhui Science & Technology University, Bengbu, China
- 1 School of Management Science and Engineering, Anhui University of Finance & Economics, Bengbu, China
- 2 College of Information & Network Engineering, Anhui Science & Technology University, Bengbu, China
Advances in Linear Algebra & Matrix Theory·Volume 11 (2021)·Pages 92–107·Published 18 August 2021·DOI10.4236/alamt.2021.113007
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Abstract
Gradient-based iterative algorithm is suggested for solving a coupled complex conjugate and transpose matrix equations. Using the hierarchical identification principle and the real representation of a complex matrix, a convergence proof is offered. The necessary and sufficient conditions for the optimal convergence factor are determined. A numerical example is offered to validate the efficacy of the suggested algorithm.
KeywordsHierarchical Identification PrincipleComplex Conjugate and Transpose Matrix EquationReal Representation of a Complex
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