public void LU分解テストランダム版()
{
var mat = new MatrixLib.Matrix(4, 4);
var rand = new Random();
for (int i = 0; i < 4; i++)
{
for (int j = 0; j < 4; j++)
{
mat[i, j] = rand.Next(0, 20);
}
}
var lu = mat.LuSolve();
var restore = lu.L * lu.U;
Console.WriteLine(mat);
Console.WriteLine(restore);
for (int i = 0; i < 4; i++)
{
for (int j = 0; j < 4; j++)
{
Assert.IsTrue(Math.Abs(mat[i, j] - restore[i, j]) < 0.001);
}
}
}
public void LU分解コンソール確認用()
{
var mat = new MatrixLib.Matrix(4, 4);
mat[0, 0] = 8;
mat[0, 1] = 16;
mat[0, 2] = 24;
mat[0, 3] = 32;
mat[1, 0] = 2;
mat[1, 1] = 7;
mat[1, 2] = 12;
mat[1, 3] = 17;
mat[2, 0] = 6;
mat[2, 1] = 17;
mat[2, 2] = 32;
mat[2, 3] = 59;
mat[3, 0] = 7;
mat[3, 1] = 22;
mat[3, 2] = 46;
mat[3, 3] = 105;
var result = mat.LuSolve();
Console.WriteLine("L");
Console.WriteLine(result.L);
Console.WriteLine("===================");
Console.WriteLine("U");
Console.WriteLine(result.U);
}
public void u分解テスト()
{
var denseMat = DenseMatrix.OfArray(new double[, ]
{
{ 8, 16, 24, 32 },
{ 2, 7, 12, 17 },
{ 6, 17, 32, 59 },
{ 7, 22, 46, 105 }
});
var mat = new MatrixLib.Matrix(4, 4);
mat[0, 0] = 8;
mat[0, 1] = 16;
mat[0, 2] = 24;
mat[0, 3] = 32;
mat[1, 0] = 2;
mat[1, 1] = 7;
mat[1, 2] = 12;
mat[1, 3] = 17;
mat[2, 0] = 6;
mat[2, 1] = 17;
mat[2, 2] = 32;
mat[2, 3] = 59;
mat[3, 0] = 7;
mat[3, 1] = 22;
mat[3, 2] = 46;
mat[3, 3] = 105;
var lu = mat.LuSolve();
var u = lu.U;
var uCorrect = denseMat.LU().U;
Console.WriteLine(u);
Console.WriteLine(uCorrect);
//
// for (int i = 0; i < 4; i++)
// {
// for (int j = 0; j < 4; j++)
// {
// Assert.IsTrue(Math.Abs(u[i,j] - uCorrect[i,j]) < 0.001);
// }
// }
}
public void 角行列の逆行列が計算できているか確認()
{
var mat = new MatrixLib.Matrix(4, 4);
mat[0, 0] = 8;
mat[0, 1] = 16;
mat[0, 2] = 24;
mat[0, 3] = 32;
mat[1, 0] = 2;
mat[1, 1] = 7;
mat[1, 2] = 12;
mat[1, 3] = 17;
mat[2, 0] = 6;
mat[2, 1] = 17;
mat[2, 2] = 32;
mat[2, 3] = 59;
mat[3, 0] = 7;
mat[3, 1] = 22;
mat[3, 2] = 46;
mat[3, 3] = 105;
var lu = mat.LuSolve();
var l = lu.L;
var lInv = l.InverseLowerTriangularMatrix();
Console.WriteLine("l Inv");
Console.WriteLine(lInv);
var identity = l * lInv;
Console.WriteLine(identity);
identity = lInv * l;
Console.WriteLine(identity);
}
public void LU分解テスト()
{
var mat = new MatrixLib.Matrix(4, 4);
mat[0, 0] = 8;
mat[0, 1] = 16;
mat[0, 2] = 24;
mat[0, 3] = 32;
mat[1, 0] = 2;
mat[1, 1] = 7;
mat[1, 2] = 12;
mat[1, 3] = 17;
mat[2, 0] = 6;
mat[2, 1] = 17;
mat[2, 2] = 32;
mat[2, 3] = 59;
mat[3, 0] = 7;
mat[3, 1] = 22;
mat[3, 2] = 46;
mat[3, 3] = 105;
var lu = mat.LuSolve();
var restore = lu.L * lu.U;
Console.WriteLine(mat);
Console.WriteLine(restore);
for (int i = 0; i < 4; i++)
{
for (int j = 0; j < 4; j++)
{
}
}
}
