The Structure of Symmetric Solutions of the Matrix Equation over a Principal Ideal Domain

V. M. Prokip

International Journal of Analysis, 2017, vol. 2017, 1-7

Abstract:

We investigate the structure of symmetric solutions of the matrix equation , where and are -by- matrices over a principal ideal domain and is unknown -by- matrix over . We prove that matrix equation over has a symmetric solution if and only if equation has a solution over and the matrix is symmetric. If symmetric solution exists we propose the method for its construction.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:2867354

DOI: 10.1155/2017/2867354

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