{"title":"Sign Pattern Matrices that Admit P0 Matrices","authors":"Ling Zhang, Ting-Zhu Huang","volume":60,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":1960,"pagesEnd":1964,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/11775","abstract":"
A P0-matrix is a real square matrix all of whose principle minors are nonnegative. In this paper, we consider the class of P0-matrix. Our main aim is to determine which sign pattern matrices are admissible for this class of real matrices.<\/p>\r\n","references":"[1] A. Berman, R.J. Plemmons, Nonnegative Matrices in the Mathematical\r\nSciences, SIAM, 1994.\r\n[2] M. Fiedler, R. Grone, Characterizations of sign patterns of inversepositive\r\nmatrices, Linear Algebra Appl., 40 (1981) 237-245.\r\n[3] J. Gross, J. Yellen, Graph Theory and its Applications, CRC Press, 1998.\r\n[4] L. Hogben (Ed.), Handbook of Linear Algebra (Discrete Mathematics\r\nand its Applications), Chapman & Hall\/CRC, 2006 (R. Brualdi, A.\r\nGreenbaum, R. Mathias (Associated Ed.).\r\n[5] R.A. Horn, C.R. Johnson, Matrix Analysis, Cambridge University Press,\r\nNew York, 1955.\r\n[6] C.R. Johnson, Sign patterns of inverse nonnegative matrices, Linear\r\nAlgebra Appl., 55 (1983) 69-80.\r\n[7] C.R. Johnson, F.T. Leighton, H.A. Robinson, Sign patterns of inversepositive\r\nmatrices, Linear Algebra Appl., 24 (1979) 75-83.\r\n[8] C. Mendes Ara'ujo, Juan R. Torregrosa, Sign pattern matrices that admit\r\nM-, N-, P- or inverse M-matrices, Linear Algebra Appl., 431 (2009) 724-\r\n731.\r\n[9] C. Mendes Ara'ujo, Juan R. Torregrosa,Sign pattern matrices that admit\r\nP0 matrices, Linear Algebra Appl., 435 (2011) 2046-2053.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 60, 2011"}