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MtxVec for Delphi
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Version
4.1
MtxVec is an 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. Many
optimization methods...
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