Scilab 5.3.0
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Please note that the recommended version of Scilab is 2025.0.0. This page might be outdated.
See the recommended documentation of this function
linsolve
線形方程式ソルバ
呼び出し手順
[x0,kerA]=linsolve(A,b [,x0])
パラメータ
- A
a
na x ma
実数行列 (疎行列の場合もあり)- b
na x 1
ベクトル (A
の行と同じ次元)- x0
実数ベクトル
- kerA
ma x k
実数行列
説明
linsolve
は,
A*x+b=0
の解を全て計算します.
x0
は特解 (存在する場合),
kerA
はA
のヌル空間です.
任意のw
についてx=x0+kerA*w
は,
A*x+b=0
を満たします.
互換性のある x0
がエントリに指定された場合, x0
が返されます.
そうでない場合,x0
と互換性のあるもの(存在する場合)が返されます.
例
A=rand(5,3)*rand(3,8); b=A*ones(8,1);[x,kerA]=linsolve(A,b);A*x+b //compatible b b=ones(5,1);[x,kerA]=linsolve(A,b);A*x+b //uncompatible b A=rand(5,5);[x,kerA]=linsolve(A,b), -inv(A)*b //x is unique // Benchmark with other linear sparse solver: [A,descr,ref,mtype] = ReadHBSparse(SCI+"/modules/umfpack/examples/bcsstk24.rsa"); b = 0*ones(size(A,1),1); tic(); res = umfpack(A,'\',b); printf('\ntime needed to solve the system with umfpack: %.3f\n',toc()); tic(); res = linsolve(A,b); printf('\ntime needed to solve the system with linsolve: %.3f\n',toc()); tic(); res = A\b; printf('\ntime needed to solve the system with the backslash operator: %.3f\n',toc());
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