38 lines
740 B
Markdown
38 lines
740 B
Markdown
|
# Solve
|
|||
|
|
|
|||
|
|
Solve a linear matrix equation, or system of linear algebraic equations.
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
vector matrix::Solve(
|
|||
|
|
const vector b // ordinate or 'dependent variable' values
|
|||
|
|
);
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
Parameters
|
|||
|
|
|
|||
|
|
b
|
|||
|
|
|
|||
|
|
[in] Ordinate or 'dependent variable' values. (Vector of free terms).
|
|||
|
|
|
|||
|
|
Return Value
|
|||
|
|
|
|||
|
|
Vector with solution to the system a * x = b.
|
|||
|
|
|
|||
|
|
Note
|
|||
|
|
|
|||
|
|
If at least one matrix row or column is zero, the system has no solution.
|
|||
|
|
|
|||
|
|
If two or more matrix rows or columns are linearly dependent, the system has no solution.
|
|||
|
|
|
|||
|
|
Example
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
//--- SLAE solution
|
|||
|
|
vector_x=matrix_a.Solve(vector_b);
|
|||
|
|
//--- check if a * x = b
|
|||
|
|
result_vector=matrix_a.MatMul(vector_x);
|
|||
|
|
errors=vector_b.Compare(result_vector,1e-12);
|
|||
|
|
|
|||
|
|
```
|