CONTRAHARMONIC MEAN OF HSD MATRICES AND ELECTRICAL NETWORKS.
Document Type
Conference Proceeding
Publication Date
12-1-1984
Description
For positive scalars a and b the contraharmonic mean of a and b, C(a,b), is defined by C(a,b) equals (a**2 plus b**2)/(a plus b). The authors consider a natural matrix generalization of the contraharmonic mean, fit this into the matrix analog of some of the classical scalar inequalities for means, develop computational procedures which let them generate the matrix analogs of an infinite family of scalar means, study fixed point problems, and discuss interpretations of the results for electrical networks.
Citation Information
Anderson, William N.; Mays, Michael E.; and Trapp, George E.. 1984. CONTRAHARMONIC MEAN OF HSD MATRICES AND ELECTRICAL NETWORKS.. Midwest Symposium on Circuits and Systems. Vol.2 665-668. https://doi.org/10.1137/0608056