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math.NA2010★ 13 cited
The Padé iterations for the matrix sign function and their reciprocals are optimal
Federico Greco, Bruno Iannazzo, Federico Poloni
It is proved that among the rational iterations locally converging with order s>1 to the sign function, the Padé iterations and their reciprocals are the unique rationals with the…
math.NA2010★ 8 cited
A Subspace Shift Technique for Nonsymmetric Algebraic Riccati Equations
Bruno Iannazzo, Federico Poloni
The worst situation in computing the minimal nonnegative solution of a nonsymmetric algebraic Riccati equation associated with an M-matrix occurs when the corresponding linearizing…