Rewrite test for HSolver

[Cstandardlib]

Describe the Testing Issue

We need clear unit tests for

• HSolver iterative solvers, with a pure matrix and initial guess we can define and change easily.
• Key operators like gemm, to ensure they work properly in different devices and libraries.
• Current tests depend on Psi and Hamilt class and they are difficult to adjust to debug.

Additional Context

No response

Task list for Issue attackers (only for developers)

• [ ] Understand the testing issue described by the developer.
• [ ] Review the specific test case, expected and actual results, and any error messages.
• [ ] Identify the root cause of the test failure or issue.
• [ ] If a possible solution is suggested, evaluate its feasibility and effectiveness.
• [ ] Implement a fix for the test failure or issue, or create a new test case if needed.
• [ ] Verify that the fix resolves the testing issue and the test case passes.
• [ ] Review and update any relevant documentation, such as test plans or user guides.
• [ ] Ensure the testing issue is resolved and close the ticket.
• [ ] Share any lessons learned or best practices with the team to prevent similar issues in the future.

[Cstandardlib]

Now that HSolver_PW solvers take raw data (T *), while tests still depend on Hamilt and Psi custom types. They are unreadable and difficult to test and debug. We can update the tests to match the modified code interface.