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math.CO2017★ 2 cited
The algebraic Bethe Ansatz and combinatorial trees
R. S. Vieira, A. Lima-Santos
We present in this paper a comprehensive introduction to the algebraic Bethe Ansatz, taking as examples the six-vertex model with periodic and non-periodic boundary conditions. We…
math.CO2010
A New Algorithm for Evaluating Determinants -- The Reduction Method
Ricardo S. Vieira
We present here a new method for evaluating determinants -- the reduction method. Firstly, in the section 2, we apply it to third-order determinants and after, in the section 3, we…