object oriented numerical library for Delphi and C++ Builder users. Complete support for complex numbers for all functions in single or double precision. Matrix operations: Solving a system of linear equations with refinment and condition number via LU, QR or SVD decomposition, Inverse of the matrix, Eigenvalues and eigenvectors, Sylvester equation, Teoplitz system solver, 2D FFT, Inverse 2D FFT, 2D real FFT, Square root of the matrix, Logarithm of the matrix... Vector operations: autocorrelation, circular convolution, cross correlation, forward and inverse discrete cosine transform, forward and inverse FFT, Geortz'el algorithm, Hilbert transform... Probability distributions PDF, CDF and Inverse CDF: binomial, geometric, hypergeometric, negative binomial, Poisson, discrete uniform, beta ,Cauchy, chi-squared, exponential, F, gamma, Maxwell, normal, Pareto, Rayleigh, Student (T), Continuous uniform, Weibull.. Sparse matrix operations: Solver for banded sparse matrices, Iterative sparse solvers: SGS, CG, BC, CS, GMRES, OM with LU preconditioning. Direct sparse solver for non-symmetric matrices. Conversions supported between: Banded, Dense, Sparse and Triplets matrix formats. Performance features: CPU specific optimizations, Critical functions optimized in assembler, symmetric multiprocessing, block processing support for vectors, fast object create and destroy, thin object layer, vector/matrix design. Special functions: complete elliptic integrals, Jacoby elliptic functions, Airy function and its derivative, Airy function of second kind and its derivative, Bessel functions: J, Y, I, K and H, associated Legendre polynomials. Math parser capable of parsing equations with real and complex numbers. Customizable operators, functions and variables. Polynomials: Finding roots, polynomial evaluation, Cubic splines, Linear and cubic interpolation algorithms, construction and evaluation of piece-wise polynoms, polynomial division (deconvolution) and multiplication (filter). Optimization methods: Brent, BFGS, Marquardt and Nelder-Mead minimization methods, numerical gradient and Hessian matrix and more... Management functions: save and load matrices in different formats: binary, text, matrix-market. View matrices with built-in viewer. Visualize vectors and matrices on the charts, Store data in different precisions. Edit and display complex numbers, A thread component allows you to quickly provide efficient progress indicators and cancel option for your numerical algorithm. Interface to Intel performance libraries. (MKL and SPL)
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