For n=2 nonsingular systems, unit weights in Cimmino's method are globally optimal and achieve contraction factor |cos θ| determined solely by the inter-normal angle θ.
Cimmino, Approximate computation of the solutions of systems of linear equations,Rend
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Sharp Convergence Rates and Optimal Weights for Cimmino's Reflection Algorithm
For n=2 nonsingular systems, unit weights in Cimmino's method are globally optimal and achieve contraction factor |cos θ| determined solely by the inter-normal angle θ.