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| 2 | namespace Eigen {
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| 3 |
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| 4 | /**
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| 5 |
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| 6 | \eigenManualPage MatrixfreeSolverExample Matrix-free solvers
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| 7 |
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| 8 | Iterative solvers such as ConjugateGradient and BiCGSTAB can be used in a matrix free context. To this end, user must provide a wrapper class inheriting EigenBase<> and implementing the following methods:
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| 9 | - Index rows() and Index cols(): returns number of rows and columns respectively
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| 10 | - operator* with and Eigen dense column vector
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| 11 | - resize(rows,cols): needed for source compatibility (can stay empty)
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| 12 |
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| 13 | Eigen::internal::traits<> must also be specialized for the wrapper type.
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| 14 |
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| 15 | For efficiency purpose, one might also want to provide a custom preconditioner. Here is an example using ConjugateGradient and implementing also a custom Jacobi preconditioner:
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| 16 | \include matrixfree_cg.cpp
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| 17 | Output: \verbinclude matrixfree_cg.out
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| 18 |
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| 19 | */
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| 20 |
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| 21 | } |
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