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Ak+1 algorithm applying arbitrary associated B₁ c₁ called Chapter Ck+1 coefficients columns COMPUTE condition connection consider constant construct continued fraction convergence Corollary defined denominator denoted distinct easy elements ENTER equal equations error example exist expressions ɛ-algorithm finally fixed follows formal formula functional give given Hankel determinants identical interpolation k₁ k₂ known Lemma linear Math matrix method Moreover Multiplying necessary numerator obtain orthogonal polynomials Padé approximants Padé-type approximants points polynomial of degree positive definite power series preceding Proof proved radius of convergence rational recurrence relation Remark replace respect result rule satisfied sequence shows space term Theorem theory transformation true variables vectors WANT write written zero Σ Σ