# `numeric` - library for numerical algorithms

## Table of contents

1. `butcher` - Butcher parameters of Runge-Kutta schemes
2. `complexRound` - round a complex number towards the real or imaginary axis
3. `cubicSpline` - interpolation by cubic splines
4. `det` - determinant of a matrix
5. `eigenvalues` - numerical eigenvalues of a matrix
6. `eigenvectors` - numerical eigenvalues and eigenvectors of a matrix
7. `expMatrix` - the exponential of a matrix
8. `factorCholesky` - Cholesky factorization of a matrix
9. `factorLU` - LU factorization of a matrix
10. `factorQR` - QR factorization of a matrix
11. `fft, invfft` - Fast Fourier Transform
12. `fMatrix` - functional calculus for numerical square matrices
13. `fsolve` - search for a numerical root of a system of equations
14. `gldata` - weights and abscissae of Gauss-Legendre quadrature
15. `gtdata` - weights and abscissae of Gauss-Tschebyscheff quadrature
16. `indets` - search for indeterminates
17. `inverse` - the inverse of a matrix
18. `int` - numerical integration (the float attribute of int)
19. `lagrange` - polynomial interpolation
20. `linsolve` - solve a system of linear equations
21. `matlinsolve` - solve a linear matrix equation
22. `ncdata` - weights and abscissae of Newton-Cotes quadrature
23. `odesolve` - numerical solution of an ordinary differential equation
24. `odesolve2` - numerical solution of an ordinary differential equation
25. `polyroots` - numerical roots of a univariate polynomial
26. `polysysroots` - numerical roots of a system of polynomial equations
27. `quadrature` - numerical integration
28. `rationalize` - approximate a floating point number by a rational number
29. `realroot` - numerical search for a real root of a real univariate function
30. `realroots` - isolate intervals containing real roots of an expression
31. `singularvalues` - numerical singular values of a matrix
32. `singularvectors` - numerical singular value decomposition of a matrix
33. `sort` - sort a numerical list
34. `solve` - numerical solution of equations (the float attribute of solve)
35. `spectralradius` - the spectral radius of a matrix
36. `sum` - numerical approximation of sums (the float attribute of sum)

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