{"title":"Some Results of Sign patterns Allowing Simultaneous Unitary Diagonalizability","authors":"Xin-Lei Feng, Ting-Zhu Huang","volume":56,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":1252,"pagesEnd":1255,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/4177","abstract":"
Allowing diagonalizability of sign pattern is still an open problem. In this paper, we make a carefully discussion about allowing unitary diagonalizability of two sign pattern. Some sufficient and necessary conditions of allowing unitary diagonalizability are also obtained.<\/p>\r\n","references":"[1] Y.L. Shao, Y. B. Gao, Sign patterns that allow diagonalizability, Linear\r\nAlgebra Appl., 359(1-3)(2003): 113-119.\r\n[2] M.I. Bueno, S. Furtado, C.R. Johnson, Congruence of Hermitian matrices\r\nby Hermitian matrices, Linear Algebra Appl, 425(1)(2007), 63-76.\r\n[3] C.A. Echenbach, C.R. Johnson, Sign patterns that require repeated\r\neigenvalues, Linear Algebra Appl., 190 (1993): 169-179.\r\n[4] R.A. Brualdi, H.J. Ryser, Combinatorial Matrix Theory, Cambridge\r\nUniversity Press, Cambridge, 1991.\r\n[5] R.A. Horn, C.R. Johnson, Matrix Analysis, Cambridge University Press,\r\nCambridge, 1985.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 56, 2011"}