Vector Padé-Type Approximants and Vector Padé Approximants

Salam, A.

doi:10.1006/jath.1997.3263

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Cited by 9 publications

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“…The scalar Padé-type approximants are closely connected to general orthogonal polynomials. The study was generalized to the non-commutative case by Draux [6] and the vector case by Salam [7] . Gu [8] introduced matrix Padé-type approximation and applied this approach to the reduction problems of the high degree multivariable linear dynamical systems.…”

Section: Definition and Constructionmentioning

confidence: 99%

Orthogonal polynomials and determinant formulas of function-valued Padé-type approximation using for solution of integral equations

Bao-zhen

2006

Appl Math Mech

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Abstract:To solve Fredholm integral equations of the second kind, a generalized linear functional is introduced and a new function-valued Padé-type approximation is defined. By means of the power series expansion of the solution, this method can construct an approximate solution to solve the given integral equation. On the basis of the orthogonal polynomials, two useful determinant expressions of the numerator polynomial and the denominator polynomial for Padé-type approximation are explicitly given.

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Section: Definition and Constructionmentioning

confidence: 99%