Cholesky Function updated at 4 location -- PR for issue #23048

[msarmadsohail]

Closeky Function updates at 4 locations

#23048

Close #

Checklist

• Did you add a function?
• Did you add the tests?
• Did you follow the steps we provided?

Socials:

[github-actions]

Thanks for contributing to Ivy! 😊👏
Here are some of the important points from our Contributing Guidelines 📝:
1. Feel free to ignore the run_tests (1), run_tests (2), … jobs, and only look at the display_test_results job. 👀 It contains the following two sections:
- Combined Test Results: This shows the results of all the ivy tests that ran on the PR. ✔️
- New Failures Introduced: This lists the tests that are passing on main, but fail on the PR Fork. Please try to make sure that there are no such tests. 💪
2. The lint / Check formatting / check-formatting tests check for the formatting of your code. 📜 If it fails, please check the exact error message in the logs and fix the same. ⚠️🔧
3. Finally, the test-docstrings / run-docstring-tests check for the changes made in docstrings of the functions. This may be skipped, as well. 📚
Happy coding! 🎉👨‍💻

[zeus2x7]

hi @msarmadsohail can you please take a look at the failing tests in the new failure introduced <- display test results section and can you please rename the title from Closeky to Cholesky as it's a bit confusing

[github-actions]

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[github-actions]

PR Compliance Checks

Thank you for your Pull Request! We have run several checks on this pull request in order to make sure it's suitable for merging into this project. The results are listed in the following section.

Issue Reference

In order to be considered for merging, the pull request description must refer to a specific issue number. This is described in our contributing guide and our PR template.
This check is looking for a phrase similar to: "Fixes #XYZ" or "Resolves #XYZ" where XYZ is the issue number that this PR is meant to address.

Protected Branch

In order to be considered for merging, the pull request changes must not be implemented on the "main" branch. This is described in our Contributing Guide. We are closing this pull request and we would suggest that you implement your changes as described in our Contributing Guide and open a new pull request.

Conventional Commit PR Title

In order to be considered for merging, the pull request title must match the specification in conventional commits. You can edit the title in order for this check to pass.
Most often, our PR titles are something like one of these:

• docs: correct typo in README
• feat: implement dark mode"
• fix: correct remove button behavior

Linting Errors

• Found type "null", must be one of "feat","fix","docs","style","refactor","perf","test","build","ci","chore","revert"
• No subject found

[msarmadsohail]

Closing in favor of #23753