Xnumbers33.1.1

Xnumbers is an Excel addin (xla) that performs multi-precision floating point arithmetic. Perhaps the first package that extends the standard Excel precision from 15 up to 200 significant digits. It is compatible with Excel 2000/XP and consists of a set of more than 260 functions for arithmetic, complex , trigonometric, logarithm, exponential calculus. Linear Algebra: System resolution with Gauss-Jordan algorithm (also in a didactic step-by-step method). Gauss-Seidel iterative method. Matrix operations. Determinant. Matrix Inversion. Characteristic Polynomial with Newton-Girard formulas. Crout's algorithm for LU decomposition. Similarity Transformation. Matrix power.Polynomials: symbolic computation to add, multiply, divide polynomials. Derivatives of polynomials. Interpolation with Newton formula. Rootfinder algorithms: Jenkins-Traub, Durand-Kerner-Aberth, Newton Generalized. Numbers Theory: MCD, MCM, factoring, prime number, fraction reduction. Statistic: Mean, Variance, Multivariable Linear Regression, LRE. Integration : Romberg , 2D Romberg, Complex integration, Newton-Cotes, Filon, FFT, DFT, 2D-FFT, Infinite integral. Numerical Series evaluation, real and complex serie. Special function: high precision 64b Bessel, Gamma, Gammaln, Digamma, Fresnel, integral sinus-cosinus, exponential integral, error function, Beta function, Fibonacci. Interpolation : polynomial, fractional, cubic spline, 2D random interpolation. Derivativse: Gradient vector, Jacobian matrix, Hessian matrix. Diff Equat. Runge-Kutta-4 , Adams’s multi-steps Tutorial of Numerical Analysis with Xnumbers.xla -Vol 1. 1st edition, PDF (1600 KB) ,now available