The M-matrix group generalized inverse problem for weighted trees

SIAM Journal on Matrix Analysis and Applications

Volumn 19, Issue 1, 1998, Pages 226-234

  Kirkland, Stephen J ^a   Neumann, Michael ^b  

^a UNIVERSITY OF REGINA   (Canada)

^b UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

Impedance matrix; Laplacian matrix; Weighted tree

Indexed keywords

EID: 0032345318     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479896304927     Document Type: Article

References (9)

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5. E. DEUTSCH AND M. NEUMANN, Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M matrix. J. Math. Anal. Appl., 102 (1984), pp. 1-29.
6. S. J. KIRKLAND, M. NEUMANN, AND B. SHADER, Bounds on the subdominant eigenvalue involving group inverses with applications to graphs, Czechoslovak Math. J., (1998), to appear.
7. S. J. KIRKLAND, M. NEUMANN, AND B. SHADER, Distances in weighted trees and group inverses of Laplacian matrices, SIAM J. Matrix. Anal. Appl., 18 (1997), pp. 827-841.
8. S. J. KIRKLAND, M. NEUMANN, AND B. SHADER, On a bound on algebraic connectivity: The case of equality, Czechoslovak Math. J., (1998), to appear.
9. G. P. H. STYAN AND G. SUBAK-SHARPE, Inequalities and equalities associated with the Campbell-Youla generalized inverse of the indefinite admittance matrix of resistive networks, Linear Algebra Appl., 250 (1997), pp. 349-370.