preconditioner
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In mathematics, preconditioning is the application of a transformation, called the preconditioner, that conditions a given problem into a form that is more suitable for numerical solving methods. Preconditioning is typically related to reducing a condition number of the problem. The preconditioned problem is then usually solved by an iterative method.
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Article
26 sectionsContents
- Preconditioning for linear systems
- Description
- Preconditioned iterative methods
- Matrix splitting
- Geometric interpretation
- Variable and non-linear preconditioning
- Random preconditioning
- Spectrally equivalent preconditioning
- Examples
- Jacobi (or diagonal) preconditioner
- SPAI
- Other preconditioners
- External links
- Preconditioning for eigenvalue problems
- Spectral transformations
- General preconditioning
- The ''ideal'' preconditioning
- Practical preconditioning
- External links
- Preconditioning in optimization
- Description
- Connection to linear systems
- Connection to eigenvalue problems
- Variable preconditioning
- References
- Sources
In mathematics, preconditioning is the application of a transformation, called the preconditioner, that conditions a given problem into a form that is more suitable for numerical solving methods. Preconditioning is typically related to reducing a condition number of the problem. The preconditioned problem is then usually solved by an iterative method.
== Preconditioning for linear systems ==