Maximal number of iterations (540) exceeded
--------------------------------------------
Key: MATH-327
URL: https://issues.apache.org/jira/browse/MATH-327
Project: Commons Math
Issue Type: Bug
Environment: Windows 7 (32-bit) JDK 1.6_16
Reporter: Mansoor Ahmed Khan
Priority: Critical
I have a matrix of size 49x19 and when I apply SVD on this matrix it raises the
following exception. The problem which I am facing is that SVD works for some
matrix and doesn't work for others. I have no clue what is the possible reason.
Exception::
org.apache.commons.math.linear.InvalidMatrixException:
org.apache.commons.math.MaxIterationsExceededException: Maximal number of
iterations (540) exceeded
RealMatrix m = [[1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096, 1.00000000,
1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096,
1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143,
0.95238096, 1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000, 1.00000000,
0.99107143, 0.95238096, 1.00000000, 1.00000000, 0.96428573],[1.00000000,
1.00000000, 0.94999999, 0.95833331, 1.00000000, 1.00000000, 0.99107143,
0.94583333, 1.00000000, 0.95000000, 0.98333333, 0.92106681, 0.97368419,
1.00000000, 0.95357142, 0.95238096, 1.00000000, 0.93333334,
0.96428573],[1.00000000, 1.00000000, 0.94999999, 0.95833331, 1.00000000,
1.00000000, 0.99107143, 0.94583333, 1.00000000, 0.95000000, 0.98333333,
0.92106681, 0.97368419, 1.00000000, 0.95357142, 0.95238096, 1.00000000,
0.93333334, 0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096,
1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143,
0.95238096, 1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000, 1.00000000,
0.99107143, 0.95238096, 1.00000000, 1.00000000, 0.96428573],[1.00000000,
1.00000000, 0.94999999, 0.95833331, 1.00000000, 1.00000000, 0.99107143,
0.94583333, 1.00000000, 0.95000000, 0.98333333, 0.92106681, 0.97368419,
1.00000000, 0.95357142, 0.95238096, 1.00000000, 0.93333334,
0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096, 1.00000000,
1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096,
1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000, 0.94999999,
0.95833331, 1.00000000, 1.00000000, 0.99107143, 0.94583333, 1.00000000,
0.95000000, 0.98333333, 0.92106681, 0.97368419, 1.00000000, 0.95357142,
0.95238096, 1.00000000, 0.93333334, 0.96428573],[1.00000000, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000, 1.00000000,
0.99107143, 0.95238096, 1.00000000, 1.00000000, 0.96428573],[1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000,
1.00000000, 0.99107143, 0.95238096, 1.00000000, 1.00000000,
0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096, 1.00000000,
1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096,
1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143,
0.95238096, 1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000,
0.94999999, 0.95833331, 1.00000000, 1.00000000, 0.99107143, 0.94583333,
1.00000000, 0.95000000, 0.98333333, 0.92106681, 0.97368419, 1.00000000,
0.95357142, 0.95238096, 1.00000000, 0.93333334, 0.96428573],[1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000,
1.00000000, 0.99107143, 0.95238096, 1.00000000, 1.00000000,
0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096, 1.00000000,
1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096,
1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143,
0.95238096, 1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000, 1.00000000,
0.99107143, 0.95238096, 1.00000000, 1.00000000, 0.96428573],[1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000,
1.00000000, 0.99107143, 0.95238096, 1.00000000, 1.00000000,
0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096, 1.00000000,
1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096,
1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000, 0.94999999,
0.95833331, 1.00000000, 1.00000000, 0.99107143, 0.94583333, 1.00000000,
0.95000000, 0.98333333, 0.92106681, 0.97368419, 1.00000000, 0.95357142,
0.95238096, 1.00000000, 0.93333334, 0.96428573],[1.00000000, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000, 1.00000000,
0.99107143, 0.95238096, 1.00000000, 1.00000000, 0.96428573],[1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000,
1.00000000, 0.99107143, 0.95238096, 1.00000000, 1.00000000,
0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096, 1.00000000,
1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096,
1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000, 0.94999999,
0.95833331, 1.00000000, 1.00000000, 0.99107143, 0.94583333, 1.00000000,
0.95000000, 0.98333333, 0.92106681, 0.97368419, 1.00000000, 0.95357142,
0.95238096, 1.00000000, 0.93333334, 0.96428573],[1.00000000, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000, 1.00000000,
0.99107143, 0.95238096, 1.00000000, 1.00000000, 0.96428573],[1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000,
1.00000000, 0.99107143, 0.95238096, 1.00000000, 1.00000000,
0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096, 1.00000000,
1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096,
1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143,
0.95238096, 1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000, 1.00000000,
0.99107143, 0.95238096, 1.00000000, 1.00000000, 0.96428573],[1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000,
1.00000000, 0.99107143, 0.95238096, 1.00000000, 1.00000000,
0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096, 1.00000000,
1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096,
1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143,
0.95238096, 1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143, 1.00000000,
1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000, 1.00000000,
0.99107143, 0.95238096, 1.00000000, 1.00000000, 0.96428573],[1.00000000,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.99107143,
1.00000000, 1.00000000, 1.00000000, 1.00000000, 0.94450431, 1.00000000,
1.00000000, 0.99107143, 0.95238096, 1.00000000, 1.00000000,
0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000, 1.00000000,
0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096, 1.00000000,
1.00000000, 0.96428573],[1.00000000, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 1.00000000, 0.99107143, 1.00000000, 1.00000000, 1.00000000,
1.00000000, 0.94450431, 1.00000000, 1.00000000, 0.99107143, 0.95238096,
1.00000000, 1.00000000, 0.96428573],[1.00000000, 1.00000000, 0.94999999,
0.95833331, 1.00000000, 1.00000000, 0.99107143, 0.94583333, 1.00000000,
0.95000000, 0.98333333, 0.92106681, 0.97368419, 1.00000000, 0.95357142,
0.95238096, 1.00000000, 0.93333334, 0.96428573],[1.00000000, 1.00000000,
0.94999999, 0.95833331, 1.00000000, 1.00000000, 0.99107143, 0.94583333,
1.00000000, 0.95000000, 0.98333333, 0.92106681, 0.97368419, 1.00000000,
0.95357142, 0.95238096, 1.00000000, 0.93333334, 0.96428573]]
RealMatrix rcp = MatrixUtils.createRealMatrix(CP);
SingularValueDecomposition svd = new SingularValueDecompositionImpl(rcp);
RealMatrix U = svd.getU();
RealMatrix S = svd.getS();
RealMatrix Vt = svd.getVT();
double[] singularValues = svd.getSingularValues();
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