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@ -6,12 +6,12 @@ namespace Eigen {
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\eigenManualPage MatrixfreeSolverExample Matrix-free solvers
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\eigenManualPage MatrixfreeSolverExample Matrix-free solvers
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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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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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- Index rows() and Index cols(): returns number of rows and columns respectively
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- \c Index \c rows() and \c Index \c cols(): returns number of rows and columns respectively
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- operator* with and %Eigen dense column vector (its actual implementation goes in a specialization of the internal::generic_product_impl class)
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- \c operator* with your type and an %Eigen dense column vector (its actual implementation goes in a specialization of the internal::generic_product_impl class)
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Eigen::internal::traits<> must also be specialized for the wrapper type.
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\c Eigen::internal::traits<> must also be specialized for the wrapper type.
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Here is a complete example wrapping a Eigen::SparseMatrix:
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Here is a complete example wrapping an Eigen::SparseMatrix:
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\include matrixfree_cg.cpp
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\include matrixfree_cg.cpp
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Output: \verbinclude matrixfree_cg.out
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Output: \verbinclude matrixfree_cg.out
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