Rational approximations from power series of vector-valued meromorphic functions

DOI10.1006/jath.1994.1036zbMath0808.41010OpenAlexW2094262162MaRDI QIDQ1329022

Avram Sidi

Publication date: 29 June 1994

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1994.1036

zbMATH Keywords

Maclaurin seriesapplication to matrix eigenvalue problemvector-valued rational approximations

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20)

Related Items (14)

Nonlinear reanalysis for structural modifications based on residual increment approximations ⋮ A review of Padé methods for the acceleration of convergence of a sequence of vectors ⋮ The implementation of a vector-valued rational approximate method in structural reanalysis problems. ⋮ A de Montessus type convergence study for a vector-valued rational interpolation procedure ⋮ Vector versions of Prony's algorithm and vector-valued rational approximations ⋮ Vector extrapolation methods with applications to solution of large systems of equations and to PageRank computations ⋮ A vector generalisation of de Montessus' theorem for the case of polar singularities on the boundary ⋮ A new approach to vector-valued rational interpolation ⋮ A de Montessus type convergence study of a least-squares vector-valued rational interpolation procedure II ⋮ Algebraic properties of some new vector-valued rational interpolants ⋮ A de Montessus type convergence study of a least-squares vector-valued rational interpolation procedure ⋮ Krylov subspace methods for eigenvalues with special properties and their analysis for normal matrices ⋮ A new method for computing the matrix exponential operation based on vector valued rational approximations ⋮ Summation of perturbation solutions to nonlinear oscillations

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