Solving a linear equation

Question

I need to programmatically solve a system of linear equations in C, Objective C, or (if needed) C++.

Here\'s an example of the equations:

-44.3940 =          


        

Answer 1

Take a look at the Microsoft Solver Foundation.

With it you could write code like this:

  SolverContext context = SolverContext.GetContext();
  Model model = context.CreateModel();

  Decision a = new Decision(Domain.Real, "a");
  Decision b = new Decision(Domain.Real, "b");
  Decision c = new Decision(Domain.Real, "c");
  model.AddDecisions(a,b,c);
  model.AddConstraint("eqA", -44.3940 == 50*a + 37*b + c);
  model.AddConstraint("eqB", -45.3049 == 43*a + 39*b + c);
  model.AddConstraint("eqC", -44.9594 == 52*a + 41*b + c);
  Solution solution = context.Solve();
  string results = solution.GetReport().ToString();
  Console.WriteLine(results); 

Here is the output:
===Solver Foundation Service Report===
Datetime: 04/20/2009 23:29:55
Model Name: Default
Capabilities requested: LP
Solve Time (ms): 1027
Total Time (ms): 1414
Solve Completion Status: Optimal
Solver Selected: Microsoft.SolverFoundation.Solvers.SimplexSolver
Directives:
Microsoft.SolverFoundation.Services.Directive
Algorithm: Primal
Arithmetic: Hybrid
Pricing (exact): Default
Pricing (double): SteepestEdge
Basis: Slack
Pivot Count: 3
===Solution Details===
Goals:

Decisions:
a: 0.0785250000000004
b: -0.180612500000001
c: -41.6375875