Solution of integral equations using generalised inverse, function-valued Padé approximants. I
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Publication:751224
DOI10.1016/0377-0427(90)90423-WzbMath0714.65098OpenAlexW2052546419MaRDI QIDQ751224
Publication date: 1990
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(90)90423-w
Numerical methods for integral equations (65R20) Extrapolation to the limit, deferred corrections (65B05) Padé approximation (41A21) Fredholm integral equations (45B05)
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Cites Work
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- Vector valued rational interpolants. I
- Padé-type approximation and general orthogonal polynomials
- Sequence transformations and their applications
- Convergence and stability analyses for some vector extrapolation methods in the presence of defective iteration matrices
- Row convergence theorems for generalised inverse vector-valued Padé approximants
- Degeneracies of generalized inverse, vector-valued Padé approximants
- Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme
- Vector-valued, rational interpolants. III
- An extension of Montessus de Ballore's theorem on the convergence of interpolating rational functions
- Continued fractions whose coefficients obey a non-commutative law of multiplication
- Acceleration Techniques for Iterated Vector and Matrix Problems
- Extrapolation Methods for Vector Sequences
- Improvement by Iteration for Compact Operator Equations
- Iterated Galerkin Method for Eigenvalue Problems
- Padé Approximants for Linear Integral Equations?
- The Deferred Approach to the Limit for Eigenvalues of Integral Equations
- Solution of Linear Integral Equations Using Padé Approximants