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FESADev/include/fesa/solvers/linear/linear_solver.h
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#ifndef FESA_SOLVERS_LINEAR_LINEAR_SOLVER_H_
#define FESA_SOLVERS_LINEAR_LINEAR_SOLVER_H_
#include "fesa/core/status.h"
namespace fesa {
class SparseMatrix;
class Vector;
/// @brief Separates reusable factorization from RHS substitution.
class LinearSolver {
public:
/// @brief Destroys a backend-neutral linear solver.
virtual ~LinearSolver() = default;
/// @brief Factorizes a validated free-equation matrix for reuse.
/// @return Success or a structured solver failure.
virtual Status Factorize(const SparseMatrix& matrix) = 0;
/// @brief Substitutes one right-hand side using retained factorization.
/// @param rhs Immutable right-hand side in free-equation order.
/// @param solution Updated only after successful finite substitution.
/// @return Success or a structured solver failure.
virtual Status Solve(const Vector& rhs, Vector& solution) const = 0;
};
} // namespace fesa
#endif // FESA_SOLVERS_LINEAR_LINEAR_SOLVER_H_