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L’addition parallèle d’opérateurs interprétée comme inf- convolution de formes quadratiques convexes. (French) Zbl 0599.94010
Given two parallel circuits with resistance determined by semi-definite positive matrices A, B, the equivalent resistance of the circuits is expressed in terms of A and B by the so-called parallel sum of the operators A and B. We interpret this operation as the inf-convolution of the quadratic forms associated to A and B. The properties of the parallel sum are then deduced from those of the inf-convolution of convex functions.

MSC:
94C05 Analytic circuit theory
15A63 Quadratic and bilinear forms, inner products
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References:
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