# \#eigenvalue-problem

**URL:** https://discourse.julialang.org/tag/eigenvalue-problem/1508.md

[Latest](https://discourse.julialang.org/latest.md) · [Categories](https://discourse.julialang.org/categories.md) · [Tags](https://discourse.julialang.org/tags.md)

---

## [Eigen value and eigen functions of linear operator](https://discourse.julialang.org/t/eigen-value-and-eigen-functions-of-linear-operator/133859)

<div class="topic-metadata">

**Author:** [@Liris](https://discourse.julialang.org/u/Liris)\
**Replies:** 19\
**Last updated:** [January 28, 2026, 9:20am UTC](https://discourse.julialang.org/t/eigen-value-and-eigen-functions-of-linear-operator/133859 "2026-01-28T09:20:20Z")

</div>

I am doing the linear stability analysis of a system of equations representing a free surface flow, which typically ends up with a generalised eigenvalue problem of the form: L\_{1} X = \\lambda p(z) u L\_{2} X = \\lambda …

---

## [Crash of eigenvalues calculations with arpack](https://discourse.julialang.org/t/crash-of-eigenvalues-calculations-with-arpack/130983)

<div class="topic-metadata">

**Author:** [@Choleva](https://discourse.julialang.org/u/Choleva)\
**Replies:** 1\
**Last updated:** [July 23, 2025, 8:07pm UTC](https://discourse.julialang.org/t/crash-of-eigenvalues-calculations-with-arpack/130983 "2025-07-23T20:07:26Z")

</div>

I have a problem of crash of eigenvalues calculations by Arpack.v0.5.4 only if the size of the array becomes very large The bugging line of the program is (line 99) ‘’‘Eigen = eigs(Sierp3, nev=1, which=:LM, sigma=1.7)…

---

## [Generalised eigenvalue problem with BigFloat](https://discourse.julialang.org/t/generalised-eigenvalue-problem-with-bigfloat/126197)

<div class="topic-metadata">

**Author:** [@fionah](https://discourse.julialang.org/u/fionah)\
**Replies:** 11\
**Last updated:** [March 12, 2025, 12:33pm UTC](https://discourse.julialang.org/t/generalised-eigenvalue-problem-with-bigfloat/126197 "2025-03-12T12:33:40Z")

</div>

I am trying to solve the generalised eigenvalue problem in arbitrary precision, using the BigFloat data type. using LinearAlgebra using GenericLinearAlgebra setprecision(128) println(eigen(Hermitian(rand(BigFloat, 2, …

---

## [\`eigen\` with \`sortby\` does not work for \`StaticArrays\`](https://discourse.julialang.org/t/eigen-with-sortby-does-not-work-for-staticarrays/125682)

<div class="topic-metadata">

**Author:** [@heliosdrm](https://discourse.julialang.org/u/heliosdrm)\
**Replies:** 1\
**Last updated:** [February 8, 2025, 12:29pm UTC](https://discourse.julialang.org/t/eigen-with-sortby-does-not-work-for-staticarrays/125682 "2025-02-08T12:29:59Z")

</div>

As reported in the following post, eigen can be called with a sortby argument to provide the output in a different order, e.g. in descending order of the eigenvalues’ real part instead of the default. However, this doe…

---

## [Generalized Eigenvalue Problem with singular matrix](https://discourse.julialang.org/t/generalized-eigenvalue-problem-with-singular-matrix/121759)

<div class="topic-metadata">

**Author:** [@Alejandra-CB](https://discourse.julialang.org/u/Alejandra-CB)\
**Replies:** 16\
**Last updated:** [November 4, 2024, 1:20pm UTC](https://discourse.julialang.org/t/generalized-eigenvalue-problem-with-singular-matrix/121759 "2024-11-04T13:20:40Z")

</div>

Hello everyone! I am currently working on a generalized eigenvalue problem, defined by the equation Aϕ=λBϕ, where matrix B is singular. Both matrices A and B are defined as sparse matrices, as I aim to apply this script…

---

## [Search for eigenvalues under a specific upper boundary](https://discourse.julialang.org/t/search-for-eigenvalues-under-a-specific-upper-boundary/119913)

<div class="topic-metadata">

**Author:** [@tianyi\_zhang](https://discourse.julialang.org/u/tianyi_zhang)\
**Replies:** 6\
**Last updated:** [September 27, 2024, 2:58pm UTC](https://discourse.julialang.org/t/search-for-eigenvalues-under-a-specific-upper-boundary/119913 "2024-09-27T14:58:27Z")

</div>

Hello, I am trying to solve an eigenvalue problem in which eigenvalues lesser than a upper boundary are solved. The linear operator is hermitian or real symmetric, and the eigenvalues are guaranteed to be positive, so I…

---

## [Getting the eigen spectrum of a large matrix (representing a microgrid)](https://discourse.julialang.org/t/getting-the-eigen-spectrum-of-a-large-matrix-representing-a-microgrid/109781)

<div class="topic-metadata">

**Author:** [@Tony\_avito](https://discourse.julialang.org/u/Tony_avito)\
**Replies:** 4\
**Last updated:** [February 6, 2024, 10:36am UTC](https://discourse.julialang.org/t/getting-the-eigen-spectrum-of-a-large-matrix-representing-a-microgrid/109781 "2024-02-06T10:36:54Z")

</div>

Hello, I am really newb in Julia. I am looking to see a solution for finding the eigenvalues (eigen spectrum) of a microgrid. The grid matriz is not that big (47x47). I will be using some symbolic variables related to …

---

## [Julia is slower than matlab when it comes to matrix diagonalization?](https://discourse.julialang.org/t/julia-is-slower-than-matlab-when-it-comes-to-matrix-diagonalization/108658)

<div class="topic-metadata">

**Author:** [@jiang\_ming\_zhang](https://discourse.julialang.org/u/jiang_ming_zhang)\
**Replies:** 39\
**Last updated:** [January 14, 2024, 1:50am UTC](https://discourse.julialang.org/t/julia-is-slower-than-matlab-when-it-comes-to-matrix-diagonalization/108658 "2024-01-14T01:50:08Z")

</div>

The following julia script is a literal translation of the original matlab code, using LinearAlgebra, SparseArrays using Arpack, Plots function bhm\_basis(N, M, dim, weight) basis = zeros(UInt8, M, dim) basis\[1,…