Completions of inverse M-matrix patterns

Linear Algebra and Its Applications

Volumn 282, Issue 1-3, 1998, Pages 145-160

  Hogben, Leslie ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

Block triangular matrix; Block clique; Completion; Digraph; Inverse M matrix; M matrix; Partial matrix; Pattern

Indexed keywords

EID: 0042638166     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(98)10054-X     Document Type: Article

References (10)

1. R. Grone, C.R. Johnson, E.M. Sá, H. Wolkowicz, Positive definite completions of partial hermitian matrices. Linear Algebra and its Applications 58 (1984) 109-124.
2. L. Hogben, Completions of M-matrices.
3. R. Horn, C.R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, 1985.
4. R. Horn, C.R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, 1991.
5. C.R. Johnson, Inverse M-matrices, Linear Algebra and its Applications 47 (1982) 195-216.
6. C.R. Johnson, B.K. Kroschel, The combinatorially symmetric P-matrix completion problem, Electronic Journal Linear Algebra 1 (1996) 59-63.
7. C.R. Johnson, R.L. Smith, The completion problem for M-matrices and inverse M-matrices, Linear Algebra and its Applications 241-243 (1996) 655-667.
8. M. Lewin, M. Neumann, On the inverse M-matrix problem for (0,1)-matrices, Linear Algebra and its Applications 30 (1980) 41-50.
9. R.S. Varga, Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1962.
10. R.A. Willoughby, The inverse M-matrix problem, Linear Algebra and its Applications 18 (1977) 75-94.