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This document describes an algorithm to scale a complex vector by thereciprocal of a complex value. The algorithm computes the reciprocal of thecomplex value and then scales the vector by the reciprocal. Some scaling may benecessary due to this 2-step strategy, and the proposed algorithm takes scalinginto account. This algorithm is supposed to be faster than the naive approachof dividing each entry of the vector by the complex value, without losing muchaccuracy. It also serves as a single strategy for scaling vectors by thereciprocal of a complex value, which improves the software maintainability.

An algorithm for scaling vectors by the reciprocal of a complex number