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Posted to issues@commons.apache.org by "Mansoor Ahmed Khan (JIRA)" <ji...@apache.org> on 2010/01/05 22:53:54 UTC
[jira] Updated: (MATH-327) Maximal number of iterations (540)
exceeded
[ https://issues.apache.org/jira/browse/MATH-327?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel ]
Mansoor Ahmed Khan updated MATH-327:
------------------------------------
Description:
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::
CorrespondenceAnalysis: org.apache.commons.math.MaxIterationsExceededException: Maximal number of iterations (540) exceeded
[org.apache.commons.math.linear.EigenDecompositionImpl.processGeneralBlock(EigenDecompositionImpl.java:881), org.apache.commons.math.linear.EigenDecompositionImpl.findEigenvalues(EigenDecompositionImpl.java:651), org.apache.commons.math.linear.EigenDecompositionImpl.decompose(EigenDecompositionImpl.java:243), org.apache.commons.math.linear.EigenDecompositionImpl.<init>(EigenDecompositionImpl.java:202), org.apache.commons.math.linear.SingularValueDecompositionImpl.<init>(SingularValueDecompositionImpl.java:114),
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();
was:
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();
> 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::
> CorrespondenceAnalysis: org.apache.commons.math.MaxIterationsExceededException: Maximal number of iterations (540) exceeded
> [org.apache.commons.math.linear.EigenDecompositionImpl.processGeneralBlock(EigenDecompositionImpl.java:881), org.apache.commons.math.linear.EigenDecompositionImpl.findEigenvalues(EigenDecompositionImpl.java:651), org.apache.commons.math.linear.EigenDecompositionImpl.decompose(EigenDecompositionImpl.java:243), org.apache.commons.math.linear.EigenDecompositionImpl.<init>(EigenDecompositionImpl.java:202), org.apache.commons.math.linear.SingularValueDecompositionImpl.<init>(SingularValueDecompositionImpl.java:114),
> 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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