On 2D bisection method for double eigenvalue problems (Q1917111)

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scientific article; zbMATH DE number 896665
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On 2D bisection method for double eigenvalue problems
scientific article; zbMATH DE number 896665

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    On 2D bisection method for double eigenvalue problems (English)
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    7 April 1997
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    A linear 2 parameter eigenvalue problem is treated. Each of the 2 equations gives a set of curves in the parameter plane, and a bisection procedure is used to determine their intersections. Adding a definiteness condition to the underlying Sturm-Liouville problems, error bounds can be given. Rounding errors are analyzed. Numerical examples of 2 point boundary value problems are reported.
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    double eigenvalue problems
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    bisection method
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    numerical examples
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    Sturm-Liouville problems
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    error bounds
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