{"title":"On Positive Definite Solutions of Quaternionic Matrix Equations","authors":"Minghui Wang","country":null,"institution":"","volume":37,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":116,"pagesEnd":119,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/4376","abstract":"The real representation of the quaternionic matrix is\r\ndefinited and studied. The relations between the positive (semi)define\r\nquaternionic matrix and its real representation matrix are presented.\r\nBy means of the real representation, the relation between the positive\r\n(semi)definite solutions of quaternionic matrix equations and those of\r\ncorresponding real matrix equations is established.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 37, 2010"}