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Follow the steps to successfully complete The Method Of Conjugate Gradients form.
- Click ‘Get Form’ button to obtain the form and open it in the editor.
- Familiarize yourself with the initial parameters: Specify the matrix A and vector b. A should be a positive definite matrix, and b is the right-hand side vector you're solving against.
- Enter the initial guess x0. By default, x0 is a vector of zeros with the same length as b, but you can set a different initial guess if necessary.
- Define the maximum number of iterations (MaxIts) you want the algorithm to perform. The default is set at 100, but you may adjust this based on your requirements.
- Set the desired accuracy (ErrTol). This represents the acceptable threshold for the solution’s accuracy. The default value is 1.e-9.
- Once all parameters are set, review them for accuracy before proceeding. Ensure that you have defined the parameters as correctly as possible to avoid issues in convergence.
- You can then proceed to run the conjugate gradient algorithm by initiating the computation process. The method will iteratively update the solution x until convergence is reached or the maximum iterations are completed.
- After the computation, the results will be available. You may choose to save the form, download it, print it, or share it according to your needs.
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1. The conjugate gradient method usually converges faster than the steepest descent method. 2. Conjugate directions are computed from gradients of the cost function.
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