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 {
            es.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 {
            es.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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                { 16,  2, 0 },
                { 32, -1, 0 }
        });


        // using RealMatrix
        assertEquals(0, es.solve(b).subtract(xRef).getNorm(), 2.0e-12);


        // using double[]
        for (int i = 0; i < b.getColumnDimension(); ++i) {
            assertEquals(0,
                         new ArrayRealVector(es.solve(b.getColumn(i))).subtract(xRef.getColumnVector(i)).getNorm(),

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        assertEquals(0, es.solve(b).subtract(xRef).getNorm(), 2.0e-12);


        // using double[]
        for (int i = 0; i < b.getColumnDimension(); ++i) {
            assertEquals(0,
                         new ArrayRealVector(es.solve(b.getColumn(i))).subtract(xRef.getColumnVector(i)).getNorm(),
                         2.0e-11);
        }


        // using Array2DRowRealMatrix
        for (int i = 0; i < b.getColumnDimension(); ++i) {

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        }


        // using Array2DRowRealMatrix
        for (int i = 0; i < b.getColumnDimension(); ++i) {
            assertEquals(0,
                         es.solve(b.getColumnVector(i)).subtract(xRef.getColumnVector(i)).getNorm(),
                         2.0e-11);
        }


        // using RealMatrix with an alternate implementation
        for (int i = 0; i < b.getColumnDimension(); ++i) {

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        // using RealMatrix with an alternate implementation
        for (int i = 0; i < b.getColumnDimension(); ++i) {
            ArrayRealVectorTest.RealVectorTestImpl v =
                new ArrayRealVectorTest.RealVectorTestImpl(b.getColumn(i));
            assertEquals(0,
                         es.solve(v).subtract(xRef.getColumnVector(i)).getNorm(),
                         2.0e-11);
        }


    }

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    public void testSolveDimensionErrors() {
        DecompositionSolver solver =
            new QRDecompositionImpl(MatrixUtils.createRealMatrix(testData3x3NonSingular)).getSolver();
        RealMatrix b = MatrixUtils.createRealMatrix(new double[2][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(b.getColumnVector(0));
            fail("an exception should have been thrown");
        } catch (IllegalArgumentException iae) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");

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    public void testSolveRankErrors() {
        DecompositionSolver solver =
            new QRDecompositionImpl(MatrixUtils.createRealMatrix(testData3x3Singular)).getSolver();
        RealMatrix b = MatrixUtils.createRealMatrix(new double[3][2]);
        try {
            solver.solve(b);
            fail("an exception should have been thrown");
        } catch (InvalidMatrixException iae) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");

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