Numerical Differentiation Toolbox

版本 7.1.4 (5.4 MB) 作者: Tamas Kis
Functions and classes to evaluate derivatives, partial derivatives, gradients, directional derivatives, Jacobians, and Hessians.
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更新时间 2022/11/30
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Numerical Differentiation Toolbox View Numerical Differentiation Toolbox on File Exchange

This toolbox supplies functions and classes to evaluate derivatives, partial derivatives, gradients, directional derivatives, Jacobians, and Hessians using the forward difference, central difference, and complex-step approximations of a derivative.

Installation

  1. Download the toolbox from File Exchange or GitHub.
  2. Open the INSTALL folder.
  3. Double-click on Numerical Differentiation Toolbox.mltbx.

MATLAB will automatically perform the installation and add all the contents of the toolbox folder to the MATLAB search path. Alternatively, all of the functions in the toolbox folder can be used independently.

Documentation

Toolbox Documentation
Technical Documentation

To open the home page of the toolbox documentation in MATLAB, type the following in the Command Window:

doc_NDT

To open the documentation of a specific function or class with name name, type the following in the Command Window:

doc_NDT name

To open the technical documentation PDF (Numerical_Differentiation.pdf), type the following in the Command Window:

doc_NDT tech

Differentiator Class

D = Differentiator(method)

Central Difference Differentiation Functions

df = cderivative(f,x0)
pf = cpartial(f,x0,k)
g = cgradient(f,x0)
Dv = cdirectional(f,x0,v)
J = cjacobian(f,x0)
H = chessian(f,x0)
H = cvechessian(f,x0)

Forward Difference Differentiation Functions

df = fderivative(f,x0)
pf = fpartial(f,x0,k)
g = fgradient(f,x0)
Dv = fdirectional(f,x0,v)
J = fjacobian(f,x0)
H = fhessian(f,x0)
H = fvechessian(f,x0)

Complex-Step Differentiation Functions

df = iderivative(f,x0)
pf = ipartial(f,x0,k)
g = igradient(f,x0)
Dv = idirectional(f,x0,v)
J = ijacobian(f,x0)
H = ihessian(f,x0)
H = ivechessian(f,x0)

"Complexified" Functions

y = iabs(x)
z = iatan2(y,x)
z = iatan2d(y,x)
z = idot(x,y)
m = imax(x,y)
m = imin(x,y)
r = imod(a,n)
y = inorm(x)
r = irem(a,n)

引用格式

Tamas Kis (2024). Numerical Differentiation Toolbox (https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v7.1.4), GitHub. 检索来源 .

MATLAB 版本兼容性
创建方式 R2021b
兼容任何版本
平台兼容性
Windows macOS Linux

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tests

tests/testsuites

toolbox

toolbox/centraldifference

toolbox/complexified

toolbox/complexstep

toolbox/doc

toolbox/forwarddifference

版本 已发布 发行说明
7.1.4

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v7.1.4
7.1.3

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v7.1.3
7.1.2

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v7.1.2
7.1.1

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v7.1.1
7.1.0

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v7.1.0
7.0.3

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v7.0.3
7.0.2

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v7.0.2
7.0.1.0

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v7.0.1
7.0.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v7.0.0
6.4.0

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v6.4.0
6.3.0

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v6.3.0
6.2.0

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/6.2.0
6.1.0

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v6.1.0
6.0.2

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v6.0.2
6.0.1

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6.0.0.0

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5.3.0

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v5.3.0
5.2.1

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v5.2.1
5.2.0

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5.1.1

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5.1.0

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5.0.2

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5.0.1

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5.0.0

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4.1.1

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v4.1.1
4.1.0

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4.0.1

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4.0.0.0

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3.0.1

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3.0.0

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2.1.0

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2.0.1

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2.0.0.0

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1.1.0

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1.0.11

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1.0.10

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1.0.9

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1.0.8

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1.0.7.0

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1.0.6.0

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1.0.5

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1.0.4

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1.0.3.0

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1.0.2

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1.0.1

1.0.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/Numerical_Differentiation_Toolbox-MATLAB/releases/tag/v1.0.0
要查看或报告此来自 GitHub 的附加功能中的问题，请访问其 GitHub 仓库。
要查看或报告此来自 GitHub 的附加功能中的问题，请访问其 GitHub 仓库。