public void Should_throw_argument_exception_when_matrix_is_not_square(int rowCount, int columnCount)
{
var a = new SparseMatrix(rowCount, columnCount);
var b = new DenseVector(rowCount);
Assert.Throws <ArgumentException>(() => GmresSolver.Solve(a, b));
}
public void Should_solve(Matrix <double> a, Vector <double> b)
{
var result = GmresSolver.Solve(a, b, MaxInnerIterations, MaxOuterIterations, Epsilon);
result.IsConverged.Should().BeTrue();
CheckSolution(a, b, result.X);
}
public void Should_solve_tridiagonal_matrix_system()
{
var a = MatrixMarketReader.ReadMatrix <double>("matrix1.mtx");
var b = MatrixMarketReader.ReadVector <double>("vector1.mtx");
var result = GmresSolver.Solve(a, b, 15, 1);
result.IsConverged.Should().BeTrue();
result.OuterIterations.Should().Be(0);
result.InnerIterations.Should().Be(11);
foreach (var xValue in result.X)
{
xValue.Should().BeApproximately(1.0, GmresSolver.DefaultEpsilon);
}
}
public void Should_solve_dense_matrix_system()
{
var a = MatrixMarketReader.ReadMatrix <double>("matrix2.mtx");
var b = MatrixMarketReader.ReadVector <double>("vector2.mtx");
var result = GmresSolver.Solve(a, b);
result.IsConverged.Should().BeTrue();
result.OuterIterations.Should().Be(0);
result.InnerIterations.Should().Be(6);
var expectedX = new[] { -4.0306249, 3.3608880, 3.8133424, -1.0654047, 3.4175426, -2.0298796 };
for (var i = 0; i < expectedX.Length; i++)
{
result.X[i].Should().BeApproximately(expectedX[i], GmresSolver.DefaultEpsilon);
}
}
public static void Execute(Options options)
{
var stopwatch = new Stopwatch();
stopwatch.Start();
Console.WriteLine($"Reading from {options.InputMatrixFileName}...");
var a = MatrixMarketReader.ReadMatrix <double>(options.InputMatrixFileName);
Console.WriteLine($"Reading from {options.InputVectorFileName}...");
var b = MatrixMarketReader.ReadVector <double>(options.InputVectorFileName);
Console.WriteLine("Start solving...");
var result = GmresSolver.Solve(a, b, options.MaxInnerIterations, options.MaxOuterIterations, options.Epsilon, degreeOfParallelism: options.DegreeOfParallelism);
Console.WriteLine($"Finished. IsConverged = {result.IsConverged}. Last error: {result.Errors.Last()}");
Console.WriteLine($"Performed {result.InnerIterations} inner iterations and {result.OuterIterations} outer iterations");
Console.WriteLine($"Writing solution to {options.OutputFileName}...");
MatrixMarketWriter.WriteVector(options.OutputFileName, result.X);
Console.WriteLine($"Total execution time, ms: {stopwatch.Elapsed.TotalMilliseconds}");
}