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Approximation of exponential function of a matrix by continued fraction expansion

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Publication:1214240
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DOI10.2977/prims/1195192181zbMath0297.65015OpenAlexW2043984096MaRDI QIDQ1214240

Masatake Mori

Publication date: 1974

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195192181



Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Approximation by rational functions (41A20) Numerical methods for initial value problems involving ordinary differential equations (65L05)


Related Items (3)

Geometric convergence of rational approximations to \(e^{-z}\) in infinite sectors ⋮ Scaled and Squared Subdiagonal Padé Approximation for the Matrix Exponential ⋮ A generalization of a theorem of Pringsheim



Cites Work

  • Survey of the stability of linear finite difference equations
  • On Higher Order Stable Implicit Methods for Solving Parabolic Partial Differential Equations
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