Bisection Method Root Finding

バージョン 1.16 (6.94 KB) 作成者: Sky Sartorius

Very simple to use and robust method that takes array inputs, so it even has advantages over fzero.

https://github.com/sky-s/bisection

フォロー

4.9

(23)

ダウンロード: 6.6K

更新 2023/1/15

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BISECTION is a fast, simple-to-use, and robust root-finding method that handles n-dimensional arrays.

Additional optional inputs and outputs for more control and capabilities that don't exist in other implementations of the bisection method or other root finding functions like fzero.
This function really shines in cases where fzero would have to be implemented in a loop to solve multiple cases, in which case this will be much faster.

It can find zero or non-zero roots.

This code can be a bit cryptic. This is for the sake of speed and increased capability. See the many acknowledged other submissions for simpler, easier-to-follow implementations to understand the basics of the bisection method.

引用

Sky Sartorius (2024). Bisection Method Root Finding (https://github.com/sky-s/bisection), GitHub. 取得済み April 16、2024.

MATLAB リリースの互換性

作成: R2015a

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ヒントを得たファイル: Bisection, Bisection's method, bisection, Numerical Methods: Bisection Method, Bisection Method, bisection.m, Bisection Method Animation, Bisection Method

ヒントを与えたファイル: Fuel fraction sizing, bisectguess

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GitHub の既定のブランチを使用するバージョンはダウンロードできません

バージョン	公開済み	リリースノート
1.16	2023/1/15	Linked to GitHub.
1.15	2019/2/20	Initialization of variables in parent function to avoid warnings in newer versions of Matlab.	ダウンロード
1.14.0.0	2015/10/16	Description.	ダウンロード
1.13.0.0	2015/8/20	Small changes to help.	ダウンロード
1.12.0.0	2013/8/23	minor speed and formatting improvements	ダウンロード
1.11.0.0	2012/12/26	New tagline	ダウンロード
1.9.0.0	2012/12/3	Practically all new code and documentation with added features. A good deal of testing done, but with so much new code, please let me know if you find errors.	ダウンロード
1.8.0.0	2012/11/27	fixed bug that sometimes caused premature convergence; redid funcntion halding to get rid of one of the input checks and simplify the code and make it more understandable; changed some of the help documentation	ダウンロード
1.7.0.0	2012/11/19	fixed a bug that was very rarely throwing out some valid results	ダウンロード
1.6.0.0	2012/11/12	made it possible to handle a function that returns array results for scalar input; changed help a bit and added an example for new awesome feature	ダウンロード
1.5.0.0	2012/11/2	better example, fixed some help typos, tested in 2012b	ダウンロード
1.2.0.0	2010/7/24	Vectorized; fixed bug for decreasing functions; some check	ダウンロード
1.1.0.0	2010/7/24	Vectorized	ダウンロード
1.0.0.0	2010/7/8		ダウンロード

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