Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 

 

Network problems, $ M$-functions and uniformly monotone networks


Author: T. A. Porsching
Journal: Quart. Appl. Math. 34 (1976), 47-57
MSC: Primary 94A20
DOI: https://doi.org/10.1090/qam/449911
MathSciNet review: 449911
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Four classes of network problems--conductive, resistive, conductive boundary value, and resistive boundary value--are considered in this paper. In each case solution of the network problem is tantamount to determining a zero of a nonlinear system of equations. Under certain monotonicity assumptions, it is shown that the nonlinear Gauss-Seidel iterative procedure is globably convergent when applied to these systems.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 94A20

Retrieve articles in all journals with MSC: 94A20


Additional Information

DOI: https://doi.org/10.1090/qam/449911
Article copyright: © Copyright 1976 American Mathematical Society


Brown University The Quarterly of Applied Mathematics
is distributed by the American Mathematical Society
for Brown University
Online ISSN 1552-4485; Print ISSN 0033-569X
© 2017 Brown University
Comments: qam-query@ams.org
AMS Website