Local inversion of matrices with sparse inverses

Linear Algebra and Its Applications

Volumn 277, Issue 1-3, 1998, Pages 33-39

  Johnson, Charles R ^a   Lundquist, Michael ^b  

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

^b BRIGHAM YOUNG UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042596029     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)10071-4     Document Type: Article

References (7)

1. W. Barrett, C.R. Johnson, Determinantal formulae for matrices with sparse inverses, Linear Algebra Appl. 56 (1984) 73-88.
2. C.R. Johnson, M. Lundquist, An inertia formula for Hermitian matrices with sparse inverses, Linear Algebra Appl. 162-164 (1992) 541-556.
3. C.R. Johnson, M. Lundquist, Matrices with chordal inverse zero-patterns, Linear and Multilinear Algebra 36 (1993) 1-15.
4. C.R. Johnson, R.L. Smith, The completion problem for M-matrices and inverse M-matrices, Linear Algebra Appl., to appear.
5. C.R. Johnson, B. Kroschel, M. Lundquist, The totally nonnegative completion problem, manuscript.
6. W. Barrett, C.R. Johnson, M. Lundquist, Determinantal formulae for matrix completions associated with chordal graphs, Linear Algebra Appl. 121 (1989) 265-289.
7. J. Blair, B. Peyton, An introduction to chordal graphs and clique trees, in: A. George, J. Gilbert, J. Liu (Eds.), Graph Theory and Sparse Matrix Computations, IMA, vol. 56, Springer, Berlin, 1993, pp. 1-29.