Examples of org.apache.commons.math.linear.DecompositionSolver.solve()

Class org.apache.commons.math.linear.DecompositionSolver

Examples of org.apache.commons.math.linear.DecompositionSolver.solve()

org.apache.commons.math.linear.DecompositionSolver.solve()
Solve the linear equation A × X = B for matrices A.
The A matrix is implicit, it is provided by the underlying decomposition algorithm.
@param b right-hand side of the equation A × X = B @return a vector X that minimizes the two norm of A × X - B @exception IllegalArgumentException if matrices dimensions don't match @exception InvalidMatrixException if decomposed matrix is singular

            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");
        }
        try {
            solver.solve(b.getColumn(0));
            fail("an exception should have been thrown");
        } catch (InvalidMatrixException iae) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");

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            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");
        }
        try {
            solver.solve(b.getColumnVector(0));
            fail("an exception should have been thrown");
        } catch (InvalidMatrixException iae) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");

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        RealMatrix xRef = MatrixUtils.createRealMatrix(new double[][] {
                { 1, 2515 }, { 2, 422 }, { -3, 898 }
        });


        // using RealMatrix
        assertEquals(0, solver.solve(b).subtract(xRef).getNorm(), 2.0e-16 * xRef.getNorm());


        // using double[]
        for (int i = 0; i < b.getColumnDimension(); ++i) {
            final double[] x = solver.solve(b.getColumn(i));
            final double error = new ArrayRealVector(x).subtract(xRef.getColumnVector(i)).getNorm();

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        // using RealMatrix
        assertEquals(0, solver.solve(b).subtract(xRef).getNorm(), 2.0e-16 * xRef.getNorm());


        // using double[]
        for (int i = 0; i < b.getColumnDimension(); ++i) {
            final double[] x = solver.solve(b.getColumn(i));
            final double error = new ArrayRealVector(x).subtract(xRef.getColumnVector(i)).getNorm();
            assertEquals(0, error, 3.0e-16 * xRef.getColumnVector(i).getNorm());
        }


        // using ArrayRealVector

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            assertEquals(0, error, 3.0e-16 * xRef.getColumnVector(i).getNorm());
        }


        // using ArrayRealVector
        for (int i = 0; i < b.getColumnDimension(); ++i) {
            final RealVector x = solver.solve(b.getColumnVector(i));
            final double error = x.subtract(xRef.getColumnVector(i)).getNorm();
            assertEquals(0, error, 3.0e-16 * xRef.getColumnVector(i).getNorm());
        }


        // using RealVector with an alternate implementation

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        // using RealVector with an alternate implementation
        for (int i = 0; i < b.getColumnDimension(); ++i) {
            ArrayRealVectorTest.RealVectorTestImpl v =
                new ArrayRealVectorTest.RealVectorTestImpl(b.getColumn(i));
            final RealVector x = solver.solve(v);
            final double error = x.subtract(xRef.getColumnVector(i)).getNorm();
            assertEquals(0, error, 3.0e-16 * xRef.getColumnVector(i).getNorm());
        }


    }

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    public void testSolveDimensionErrors() {
        DecompositionSolver solver =
            new SingularValueDecompositionImpl(MatrixUtils.createRealMatrix(testSquare)).getSolver();
        RealMatrix b = MatrixUtils.createRealMatrix(new double[3][2]);
        try {
            solver.solve(b);
            fail("an exception should have been thrown");
        } catch (IllegalArgumentException iae) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");

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            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");
        }
        try {
            solver.solve(b.getColumn(0));
            fail("an exception should have been thrown");
        } catch (IllegalArgumentException iae) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");

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            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");
        }
        try {
            solver.solve(new ArrayRealVectorTest.RealVectorTestImpl(b.getColumn(0)));
            fail("an exception should have been thrown");
        } catch (IllegalArgumentException iae) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");

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                                   { 0.0, 0.0 }
                               });
        DecompositionSolver solver = new SingularValueDecompositionImpl(m).getSolver();
        RealMatrix b = MatrixUtils.createRealMatrix(new double[2][2]);
        try {
            solver.solve(b);
            fail("an exception should have been thrown");
        } catch (InvalidMatrixException ime) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");

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