V0.2 Solver Error: Least-Square Gradient

[TongtongJin]

Description

Motivation and Context

The Least-square gradient error method is specifically defined for the column projection solver. The least-sqaure gradient error being less than or equal to the threshold will work as the default stopping criteria for column projection solver.

Types of changes

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to not work as expected)

Checklists:

Code and Comments
If this PR includes modification to the code base, please select all that apply.

• My code follows the code style of this project.
• I have updated all package dependencies (if any).
• I have included all relevant files to realize the functionality of the PR.
• I have exported relevant functionality (if any).

API Documentation

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• I have checked that the docstring's function signature is correctly formatted and has all arguments.
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• I have compiled the docs locally and read through all docstring updates to check for errors.

Manual Documentation

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• Any code included in the docstring is tested using doc tests to ensure consistency.
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Testing

• I have added unit tests to cover my changes. (For Macros, be sure to check
  @code_lowered and
  @code_typed)
• All new and existing tests passed.
• I have achieved sufficient code coverage.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.

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