Class mpoly (multivariate polynomial)

Versión 1.2.0 (762 KB) por Kenneth Johnson
Multivariate polynomial class with automatic differentiation functionality
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Actualizado 8 feb 2026

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Class mpoly represents a numeric array (of any nonempty size, any number of dimensions) as a polynomial function (any degree) of a set of independent parameters (any number of parameters), or as a truncated polynomial approximation (Taylor series). The class encapsulates the function value and its series coefficients.
Most standard array operations (+, -, *, /, cat, transpose, etc.) are implemented in mpoly to automatically calculate series coefficients for the result, effectively implementing automatic differentiation. Multivariate operations can be applied to mixed mpoly and numeric arguments, with numeric values being interpreted as constants.
mpoly is adapted to work with single- or double-precision data, and with GPU arrays.

Citar como

Kenneth Johnson (2026). Class mpoly (multivariate polynomial) (https://la.mathworks.com/matlabcentral/fileexchange/182185-class-mpoly-multivariate-polynomial), MATLAB Central File Exchange. Recuperado .

Compatibilidad con la versión de MATLAB
Se creó con R2025b
Compatible con cualquier versión
Compatibilidad con las plataformas
Windows macOS Linux
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Agradecimientos

Inspirado por: Class DAA, "Derivative-Augmented Array"

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Versión Publicado Notas de la versión
1.2.0

Efficiency improvements in mpoly.mldivide and mpoly.pagemldivide. Added rcond output to mpoly.pagemldivide and mpoly.pageinv. Revised test_mpoly.m.
1.1.6

Replace sqrt(x) with sqrt(complex(x)) when isgpuarray(x) && isreal(x) && any(X(:)<0).
1.1.5

Don't use decomposition on gpuArray data.
1.1.3

Made gpuArray and inferior class: classdef (InferiorClasses = {?gpuArray}) ...
1.1.2

Corrected upload files from last version.
1.1.1

Added global asgn function, modified test_mpoly.
1.1.0

code revisions
new files: besselj.m, test_besselj.m, mpoly_tutorial.mlx
Included link to algorithm document reference in mpoly.m.
1.0.0