The numerical solution of linear recurrence relations
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Publication:2529557
DOI10.1007/BF02166688zbMath0164.45401OpenAlexW2025226828MaRDI QIDQ2529557
Publication date: 1968
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/131834
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Cites Work
- Unnamed Item
- Unnamed Item
- Relative error propagation in the recursive solution of linear recurrence relations
- The iterative solution of non-linear ordinary differential equations in Chebyshev series
- Computational Aspects of Three-Term Recurrence Relations
- Numerical solution of second-order linear difference equations
- Inherent Instability in Systems of First Order Linear Differential Equations
- Error Analysis of Miller's Recurrence Algorithm
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