The symmetric inverse M-matrix completion problem

Linear Algebra and Its Applications

Volumn 290, Issue 1-3, 1999, Pages 193-212

  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: 0040884864     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(98)10230-6     Document Type: Article

References (13)

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2. A. Berman, R.J. Plemmons, Nonnegative Matrices in the Mathematical Sciences. Academic Press, New York, 1979.
3. J.R.S. Blair, B. Peyton, An introduction to chordal graphs and clique trees, in: A. George, J.R. Gilbert, J.W.H. Liu (Eds.), Graph Theory and Sparse Matrix Computation, IMA, vol. 56, Springer, New York, 1993.
4. M. Fielder, V. Pták, On matrices with nonpositive off-diagonal elements and positive principal minors, Czechoslovak Math. J. 42 (1962) 382-400.
5. R. Grone, C.R. Johnson, E. Sá, H. Wolkowicz, Positive definite completions of partial Hermitian matrices, Linear Algebra Appl. 58 (1984) 109-124.
6. R. Horn, C.R. Johnson, Matrix Analysis, Cambridge University Press, New York, 1985.
7. R. Horn, C.R. Johnson, Topics in Matrix Analysis, Cambridge University Press, New York, 1991.
8. C.R. Johnson, Inverse M-matrices, Linear Algebra Appl. 47 (1982) 195-216.
9. C.R. Johnson, C.A. Jones, B.K. Kroeschel, The Euclidean distance completion problem: Cycle completability, Linear and Multilinear Algebra 39 (1995) 195-207.
10. C.R. Johnson, M. Lundquist, Matrices with chordal inverse zero-patterns, Linear and Multilinear Algebra 36 (1993) 1-17.
11. C.R. Johnson, M. Lundquist, Local inversion of matrices with sparse inverses, Linear Algebra Appl. 277 (1998) 33-39.
12. C.R. Johnson, R.L. Smith, The completion problem for M-matrices and inverse M-matrices, Linear Algebra Appl. 241-43 (1996) 655-667.
13. C.R. Johnson, R.L. Smith, Path product matrices, Linear and Multilinear Algebra to appear.