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| template<typename ScalarType > |
| ScalarType | axom::numerics::evaluate_polynomial (ArrayView< const double > coeffs_descending, const ScalarType &x) |
| | Evaluate a polynomial with coefficients stored in descending power order. More...
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| axom::Array< double > | axom::numerics::bernstein_to_monomial (ArrayView< const double > bernstein_coeffs) |
| | Convert Bernstein coefficients to monomial coefficients on [0, 1]. More...
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| int | axom::numerics::effective_polynomial_degree (ArrayView< const double > coeffs_ascending, double tol=1e-12) |
| | Return the effective degree of a polynomial after trimming near-zero leading coefficients. More...
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| axom::Array< std::complex< double > > | axom::numerics::solve_polynomial_durand_kerner (ArrayView< const double > coeffs_ascending, double tol=1e-12, std::complex< double > seed=std::complex< double > {0.4, 0.9}) |
| | Approximate all roots of a polynomial using the Durand-Kerner method. More...
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| PolynomialRootResult | axom::numerics::solve_polynomial_durand_kerner_checked (ArrayView< const double > coeffs_ascending, double tol=1e-12, int max_iters=200, std::complex< double > seed=std::complex< double > {0.4, 0.9}) |
| | Approximate all roots of a polynomial using the Durand-Kerner method, including convergence diagnostics. More...
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| int | axom::numerics::solve_linear (ArrayView< const double > coeff, ArrayView< double > roots, int &numRoots) |
| | Find the real root for a linear equation of form \( ax + b = 0 \). More...
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| int | axom::numerics::solve_linear (const double *coeff, double *roots, int &numRoots) |
| | Deprecated pointer-based overload for solve_linear(ArrayView<const
double>, ArrayView<double>, int&). More...
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| int | axom::numerics::solve_quadratic (ArrayView< const double > coeff, ArrayView< double > roots, int &numRoots) |
| | For a quadratic equation of the form \( ax^2 + bx + c = 0 \), find real roots using the quadratic formula. More...
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| int | axom::numerics::solve_quadratic (const double *coeff, double *roots, int &numRoots) |
| | Deprecated pointer-based overload for solve_quadratic(ArrayView<const double>, ArrayView<double>, int&). More...
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| int | axom::numerics::solve_cubic (ArrayView< const double > coeff, ArrayView< double > roots, int &numRoots) |
| | For a cubic equation of the form \( ax^3 + bx^2 + cx + d = 0 \), find real roots. More...
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| int | axom::numerics::solve_cubic (const double *coeff, double *roots, int &numRoots) |
| | Deprecated pointer-based overload for solve_cubic(ArrayView<const double>, ArrayView<double>, int&). More...
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1.9.1