Summary

While physics often requires several significant digits and matrix analysis, calculating complex systems or evaluating multiple observables necessitates extended precision to ensure accuracy. Singular value decomposition (SVD) becomes a powerful tool for solving nonlinear systems, including fitting data using polynomial optimization and deriving ODE solvers from data. This approach utilizes Levenberg-Marquardt, trust-region methods, and adaptive integration techniques like quadgk. It also encompasses full sets of Gaussian quadrature, Fourier transforms, number theory functions, and diverse polynomial solvers. Furthermore, it provides direct support for data analysis and numerical integration, all accessible via the Function Reference page. To utilize these methods for high-precision computations involving multidimensional differential equations or extended matrix analysis, users should refer to the provided Users Manual. The ability to handle complex symbolic solutions, such as those arising from numerical integration or optimization, makes these functions indispensable in rigorous scientific research.

Title

Multiprecision Computing Toolbox for MATLAB

Description

Toolbox for arbitrary precision computations in MATLAB. Check solution accuracy, compute sensitive eigenvalues, solve ill-conditioned problems.

Keywords

precision, toolbox, computing, functions, matrix, algorithms, computations, eigenvalues, problems, equations, high, double, quadruple, using, over, users, function

NS Lookup

A 5.9.83.89

Dates

Created 2026-04-15

Updated 2026-04-20

Summarized 2026-04-21