Particle swarm optimization for matrix inversion

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SUMMARY

This discussion centers on the application of Particle Swarm Optimization (PSO) for matrix inversion, specifically focusing on low-complexity iterative methods. The user seeks guidance on how to implement PSO effectively for this purpose and requests resources such as books or articles. A critical point raised is the need to define the optimization function to evaluate the performance of different matrix inversion methods, as the effectiveness of PSO may vary based on the specific matrices involved.

PREREQUISITES
  • Understanding of Particle Swarm Optimization (PSO) principles
  • Familiarity with matrix inversion techniques
  • Knowledge of iterative methods for numerical optimization
  • Ability to define optimization functions for performance evaluation
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Researchers, data scientists, and engineers interested in numerical methods, particularly those focusing on optimization techniques for matrix operations.

Nurulhuda Ismail
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Hi everyone,

I am working on matrix inversion and focusing on low-complexity method such as iterative method. Recently, I am interested to explore how particle swarm optimization (PSO) can be applied to do matrix inversion. Since I am very very new in PSO, I have no idea how to start my work.

Is anybody here has experience doing this work? If yes, can you share to me any material,such as books or articles related to this work. It is really appreciated if you can guide me the correct method to use PSO for matrix inversion. Thank you.
 
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Nurulhuda Ismail said:
I am working on matrix inversion and focusing on low-complexity method such as iterative method.

"Working on matrix inversion" does not define what function you are attempting to optimize. For example, if you have two matrix inversion methods, what function determines which is better? Method A might produce an answer faster than method B on some matrices and slower than method B on others. How do you intend to rate which method is superior?
 

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