How to handle an ill-conditioned matrix?

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Techniques for handling ill-conditioned or singular matrices include singular value decomposition (SVD) and the Moore-Penrose generalized inverse. These methods help in stabilizing computations and providing solutions when traditional approaches fail. SVD can effectively decompose matrices to analyze their properties, while the Moore-Penrose inverse offers a way to find solutions to linear systems that may not have unique solutions. Other potential methods discussed include regularization techniques to improve matrix conditioning. Utilizing these strategies can enhance numerical stability in various applications.
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Hello everybody,
I would like to know if there are any techniques to handle ill-conditioned or/and singular matrices.

Thanks in advance!
 
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To name just two, singular value decomposition and Moore-Penrose generalized inverse.
 

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