Plenary Papers A Priori Truncation Error Bounds for Continued Fractions
نویسندگان
چکیده
منابع مشابه
Optimal Error Bounds for Convergents of a Family of Continued Fractions
Ž . Let F be the family of continued fractions K a r1 , where a s yg , a s p 1 1 p Ž . < < 1 y g g x , p s 2, 3, . . . , with 0 F g F 1, g fixed, and x F 1, p s py1 p p p p p 2, 3, . . . . In this work, we derive upper bounds on the errors in the convergents of Ž . K a r1 that are uniform for F, and optimal in the sense that they are attained by p some continued fraction in F. For the special c...
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We study the calculation of complex transport coeffi cients x ( (o) and power spectra in terms of complex con tinued fractions. In particular, we establish classes of dynamical equilibrium and non-equilibrium systems for which we can obtain a posteriori bounds for the truncation error | ^ (to) — x(n)(c'J)| = c (a)) I X(w)(tu) — %(”-1)(w)| when the transport coefficient is approximated by its ...
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We prove optimal bounds for the discretization error of geodesic finite elements for variational partial differential equations for functions that map into a nonlinear space. For this we first generalize the well-known Céa lemma to nonlinear function spaces. In a second step we prove optimal interpolation error estimates for pointwise interpolation by geodesic finite elements of arbitrary order...
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We derive error bounds for the Rayleigh-Ritz method for the approximation to extremal eigenpairs of a symmetric matrix. The bounds are expressed in terms of the eigenvalues of the matrix and the angle between the subspace and the eigenvector. We also present a sharp bound.
متن کاملOptimal a Priori Error Bounds for the Rayleigh - Ritzmethodgerard
We derive error bounds for the Rayleigh-Ritz method for the approximation to extremal eigenpairs of a symmetric matrix. The bounds are expressed in terms of the eigenvalues of the matrix and the angle between the subspace and the eigenvector. We also present a sharp bound.
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2003
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181069962