Inverse and determinant of square matrix

バージョン 1.5.0.0 (1.44 KB) 作成者: Feng Cheng Chang
Inverse and determinant of a square matrix are determined using only simple matrix multiplication
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ダウンロード: 648
更新 2012/11/30

ライセンスの表示

The inverse (AI) and determinant (det) of a given square matrix (AO) may be directly found by
[AI,det] = inv1(AO)
It uses automatic pivoting scheme. All computations involves only simple matrix multiplication.

The direct result without pivoting may also be found by
AI = inv0(AO)
The sourse code is only 4 statement lines. Yet it works for AO = randn(n), even n = 1000.
However, it fails for some simple peculiar matrix, such as AO = [0 1; 1 0].

引用

Feng Cheng Chang (2024). Inverse and determinant of square matrix (https://www.mathworks.com/matlabcentral/fileexchange/38819-inverse-and-determinant-of-square-matrix), MATLAB Central File Exchange. 取得済み .

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謝辞

ヒントを得たファイル: GINV(X), inv4spd.m, InvSWM_F(xcoord,ycoord,lower,upper,RowStdOpt), Update Inverse Matrix

ヒントを与えたファイル: inv_det_0(A)

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バージョン 公開済み リリース ノート
1.5.0.0

Update the m-file, involving direct automatic optional pivoting scheme.
1.4.0.0

Updated after some crucial comments.
1.3.0.0

updated to including pivotings.
1.2.0.0

update m-file
1.0.0.0