More on C-fraction solutions to Riccati equations (Q1178580)
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scientific article; zbMATH DE number 21907
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | More on C-fraction solutions to Riccati equations |
scientific article; zbMATH DE number 21907 |
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More on C-fraction solutions to Riccati equations (English)
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26 June 1992
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\textit{E. P. Merkes} and \textit{W. T. Scott} [J. Math. Anal. Appl. 4, 309--327 (1962; Zbl 0133.33702)] presented an algorithm for solving a Riccati equation. The authors here extend this algorithm to solve Riccati equations without a singularity at zero, such as \[ R[w(z)]=A(z)+B(z)W(z)+C(z)W^2(z)-W'(z)=0. \] This article also demonstrates through many examples the advantages and the disadvantages of the \(C\)-fraction solutions.
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continued fractions
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algorithm
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Riccati equations without a singularity at zero
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\(C\)-fraction solutions
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