The completion problem for M-matrices and inverse M-matrices

Linear Algebra and Its Applications

Volumn 241-243, Issue , 1996, Pages 655-667

  Johnson, Charles R ^a   Smith, Ronald L ^b  

^a The College of William and Mary   (United States)

^b UNIVERSITY OF TENNESSEE AT CHATTANOOGA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344475066     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(95)00429-7     Document Type: Article

References (10)

1. M. Fiedler, Matrix inequalities, Numer. Math. 9:109-119 (1966).
2. R. Grone, C. R. Johnson, E. Sá, and H. Wolkowicz, Positive definite completions of partial Hermitian matrices, Linear Algebra Appl. 58:109-124 (1984).
3. F. Harary and Norman, The dissimilarity characteristic of Husimi trees, Ann. of Math (2) 58:134-141 (1953).
4. K. Husimi, Note on Mayers' theory of cluster integrals, J. Chem. Phys. 18:682-684 (1950).
5. R. Horn and C. R. Johnson, Matrix Analysis, Cambridge U.P., New York, 1985.
6. R. Horn and C. R. Johnson, Topics in Matrix Analysis, Cambridge U.P., New York, 1991.
7. C. R. Johnson, Inverse M-matrices, Linear Algebra Appl. 47:195-216 (1982).
8. C. R. Johnson, Matrix completion problems: A survey, in Proc. Symp. Appl. Math. 40, Amer. Math. Soc., 1990, pp. 171-198.
9. C. R. Johnson, On the solvability of matrix completion problems, to appear.
10. C. R. Johnson and M. Lundquist, Matrices with chordal inverse zero-patterns, Linear and Multilinear Algebra 36:1-17 (1993).