On two-point Padé-Type and two-Point Padé approximants
Copyright policy )On two-point Padé-Type and two-Point Padé approximants
The author provides a careful study of two-point Padé and two point Padé-type approximants in the setting of a non-commutative algebra on a commutative field. Previous work of the author and others concentrated on the non-normal commutative case. Here, he considers the normal non- commutative case. Algebraic properties including recurrence relations are established, computation of the two-point Padé type approximants is discussed, and some convergence results are provided. The relation to generalized orthogonal polynomials is an essential ingredient of the development of the theory.
Approximation by rational functions, Multidimensional problems, Padé approximation, two-point Padé type approximants
Approximation by rational functions, Multidimensional problems, Padé approximation, two-point Padé type approximants
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