Calc.GaussSolve Method
Solve a system of n equations in n unknowns using Gaussian Elimination
Solve an equation in matrix form Ax = b
The 2D array a is the matrix A with an additional column b.
This is often written (A:b)
A0,0 A1,0 A2,0 .... An-1,0 b0
A0,1 A1,1 A2,1 .... An-1,1 b1
A0,2 A1,2 A2,2 .... An-1,2 b2
: : : : :
: : : : :
A0,n-1 A1,n-1 A2,n-1 .... An-1,n-1 bn-1
Returns an array of solutions, or null if if the system of equations is singular.
Sample for solving center for a circle through three points:
double[] sm=new double[2,3]; //two rows, three coefficients
sm[0, 0] = 2 * p0.y - 2 * p1.y;
sm[0, 1] = 2 * p0.x - 2 * p1.x;
sm[0, 2] = -(p1.x * p1.x + p1.y * p1.y - p0.x * p0.x - p0.y * p0.y);
sm[1, 0] = 2 * p0.y - 2 * p2.y;
sm[1, 1] = 2 * p0.x - 2 * p2.x;
sm[1, 2] = -(p2.x * p2.x + p2.y * p2.y - p0.x * p0.x - p0.y * p0.y);
double[] center=Calc.GaussSolve(sm);
Public Shared Function GaussSolve( _ |
This language is not supported or no code example is available.
public static double[] GaussSolve( |
static array< double >^ GaussSolve( |
public static function GaussSolve( |
This language is not supported or no code example is available.
This language is not supported or no code example is available.
This language is not supported or no code example is available.
Parameters
-
a
-
double[,]
Matrix
Return Value
double[]
Solution
.NET Framework
Supported in: 4.5, 4.5.1, 4.5.2, 4.6, 4.6.1, 4.6.2, 4.7, 4.7.1, 4.7.2, 4.8