# Generalized eigenvalue problem in ApproxFun.jl
**URL:** https://discourse.julialang.org/t/generalized-eigenvalue-problem-in-approxfun-jl/112441
**Category:** Numerics
**Tags:** question
**Created:** [April 2, 2024, 9:38pm UTC](https://discourse.julialang.org/t/generalized-eigenvalue-problem-in-approxfun-jl/112441 "2024-04-02T21:38:22Z")
**Posts on this page:** 3
**Page:** 1
### Author:  [@jwalker](https://discourse.julialang.org/u/jwalker)
#### Post date: [April 2, 2024, 9:38pm UTC](https://discourse.julialang.org/t/generalized-eigenvalue-problem-in-approxfun-jl/112441/1 "2024-04-02T21:38:22Z")
Looking through the examples in ApproxFun.jl, I didn’t see one of a generalized eigenvalue problem. Is this possible? Is there a short example?
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### Author:  [@jwalker](https://discourse.julialang.org/u/jwalker)
#### Post date: [April 2, 2024, 10:47pm UTC](https://discourse.julialang.org/t/generalized-eigenvalue-problem-in-approxfun-jl/112441/2 "2024-04-02T22:47:27Z")
To make it explicit, I’m trying to solve this system:
\begin{align} a\_1(V+W) + a\_2 U' &= \lambda (a\_3V + a\_4W)\\ b\_1(V'+W') &= \lambda U\\ c\_1V &= \lambda W \end{align}
where U = U(x), V = V(x), W = W(x).
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### Author:  [@jwalker](https://discourse.julialang.org/u/jwalker)
#### Post date: [April 9, 2024, 7:26pm UTC](https://discourse.julialang.org/t/generalized-eigenvalue-problem-in-approxfun-jl/112441/3 "2024-04-09T19:26:02Z")
@dlfivefifty , do you know whether this is possible?