Parallel Subtraction of Matrices

  1. W. N. Anderson, Jr.*,
  2. R. J. Duffin†, and
  3. G. E. Trapp‡
  1. *Mathematics Department, University of Maryland, College Park, Md.
  2. †Mathematics Department, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213
  3. ‡Computer Science Department, West Virginia University, Morgantown, W.Va.

Abstract

A new Hermitian semidefinite matrix operation is studied. This operation—called parallel subtraction—is developed from the theory of parallel addition. Since the theory of parallel addition is motivated by the analysis of interconnected electrical networks, parallel subraction may be interpreted in terms of the synthesis of electrical networks. The idea of subtraction is also extended to hybrid addition.

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  1. PNAS 1972-09 vol. 69 no. 9 2530-2531
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