ModulesWithBasis: Add methods eigenvalues, eigenvectors, eigenspaces to endomorphisms
#37943
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vbraun
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…x}`: Support constructing `End(CombinatorialFreeModule)` elements
<!-- ^ Please provide a concise and informative title. -->
<!-- ^ Don't put issue numbers in the title, do this in the PR
description below. -->
<!-- ^ For example, instead of "Fixes sagemath#12345" use "Introduce new method
to calculate 1 + 2". -->
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<!-- v If this PR resolves an open issue, please link to it here. For
example, "Fixes sagemath#12345". -->
This is a follow-up after
- sagemath#37692
... to cover a few more methods. The methods can now create
endomorphisms of free modules whose bases are indexed by the vertices.
To help with this, we make the `matrix` constructor a bit more flexible.
This is also preparation for making the spectral graph theory methods
ready for `CombinatorialFreeModule`:
- sagemath#37943
### 📝 Checklist
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- [x] The description explains in detail what this PR is about.
- [x] I have linked a relevant issue or discussion.
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preview.
### ⌛ Dependencies
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-->
<!-- - sagemath#12345: short description why this is a dependency -->
<!-- - sagemath#34567: ... -->
URL: sagemath#37955
Reported by: Matthias Köppe
Reviewer(s): David Coudert, Matthias Köppe
vbraun
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May 12, 2024
…x}`: Support constructing `End(CombinatorialFreeModule)` elements
<!-- ^ Please provide a concise and informative title. -->
<!-- ^ Don't put issue numbers in the title, do this in the PR
description below. -->
<!-- ^ For example, instead of "Fixes sagemath#12345" use "Introduce new method
to calculate 1 + 2". -->
<!-- v Describe your changes below in detail. -->
<!-- v Why is this change required? What problem does it solve? -->
<!-- v If this PR resolves an open issue, please link to it here. For
example, "Fixes sagemath#12345". -->
This is a follow-up after
- sagemath#37692
... to cover a few more methods. The methods can now create
endomorphisms of free modules whose bases are indexed by the vertices.
To help with this, we make the `matrix` constructor a bit more flexible.
This is also preparation for making the spectral graph theory methods
ready for `CombinatorialFreeModule`:
- sagemath#37943
### 📝 Checklist
<!-- Put an `x` in all the boxes that apply. -->
- [x] The title is concise and informative.
- [x] The description explains in detail what this PR is about.
- [x] I have linked a relevant issue or discussion.
- [ ] I have created tests covering the changes.
- [ ] I have updated the documentation and checked the documentation
preview.
### ⌛ Dependencies
<!-- List all open PRs that this PR logically depends on. For example,
-->
<!-- - sagemath#12345: short description why this is a dependency -->
<!-- - sagemath#34567: ... -->
URL: sagemath#37955
Reported by: Matthias Köppe
Reviewer(s): David Coudert, Matthias Köppe
vbraun
pushed a commit
to vbraun/sage
that referenced
this pull request
May 12, 2024
…x}`: Support constructing `End(CombinatorialFreeModule)` elements
<!-- ^ Please provide a concise and informative title. -->
<!-- ^ Don't put issue numbers in the title, do this in the PR
description below. -->
<!-- ^ For example, instead of "Fixes sagemath#12345" use "Introduce new method
to calculate 1 + 2". -->
<!-- v Describe your changes below in detail. -->
<!-- v Why is this change required? What problem does it solve? -->
<!-- v If this PR resolves an open issue, please link to it here. For
example, "Fixes sagemath#12345". -->
This is a follow-up after
- sagemath#37692
... to cover a few more methods. The methods can now create
endomorphisms of free modules whose bases are indexed by the vertices.
To help with this, we make the `matrix` constructor a bit more flexible.
This is also preparation for making the spectral graph theory methods
ready for `CombinatorialFreeModule`:
- sagemath#37943
### 📝 Checklist
<!-- Put an `x` in all the boxes that apply. -->
- [x] The title is concise and informative.
- [x] The description explains in detail what this PR is about.
- [x] I have linked a relevant issue or discussion.
- [ ] I have created tests covering the changes.
- [ ] I have updated the documentation and checked the documentation
preview.
### ⌛ Dependencies
<!-- List all open PRs that this PR logically depends on. For example,
-->
<!-- - sagemath#12345: short description why this is a dependency -->
<!-- - sagemath#34567: ... -->
URL: sagemath#37955
Reported by: Matthias Köppe
Reviewer(s): David Coudert, Matthias Köppe
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Documentation preview for this PR (built with commit 52db63c; changes) is ready! 🎉 |
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ModulesWithBasis: Add method eigenvalues to endomorphismsModulesWithBasis: Add methods eigenvalues, eigenvectors, eigenspaces to endomorphisms
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Application: Graphs
📝 Checklist
⌛ Dependencies
Graph.{[weighted_]adjacency_matrix,kirchhoff_matrix}: Support constructingEnd(CombinatorialFreeModule)elements #37955