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-rw-r--r--Eigen/src/Eigenvalues/ComplexEigenSolver.h6
-rw-r--r--Eigen/src/Eigenvalues/RealSchur.h12
-rw-r--r--test/eigensolver_complex.cpp9
-rw-r--r--test/eigensolver_generic.cpp9
-rw-r--r--test/eigensolver_selfadjoint.cpp9
5 files changed, 43 insertions, 2 deletions
diff --git a/Eigen/src/Eigenvalues/ComplexEigenSolver.h b/Eigen/src/Eigenvalues/ComplexEigenSolver.h
index ec3b1633e..dc5fae06a 100644
--- a/Eigen/src/Eigenvalues/ComplexEigenSolver.h
+++ b/Eigen/src/Eigenvalues/ComplexEigenSolver.h
@@ -250,7 +250,7 @@ template<typename _MatrixType> class ComplexEigenSolver
EigenvectorType m_matX;
private:
- void doComputeEigenvectors(const RealScalar& matrixnorm);
+ void doComputeEigenvectors(RealScalar matrixnorm);
void sortEigenvalues(bool computeEigenvectors);
};
@@ -284,10 +284,12 @@ ComplexEigenSolver<MatrixType>::compute(const EigenBase<InputType>& matrix, bool
template<typename MatrixType>
-void ComplexEigenSolver<MatrixType>::doComputeEigenvectors(const RealScalar& matrixnorm)
+void ComplexEigenSolver<MatrixType>::doComputeEigenvectors(RealScalar matrixnorm)
{
const Index n = m_eivalues.size();
+ matrixnorm = numext::maxi(matrixnorm,(std::numeric_limits<RealScalar>::min)());
+
// Compute X such that T = X D X^(-1), where D is the diagonal of T.
// The matrix X is unit triangular.
m_matX = EigenvectorType::Zero(n, n);
diff --git a/Eigen/src/Eigenvalues/RealSchur.h b/Eigen/src/Eigenvalues/RealSchur.h
index d6a339f07..f5c86041d 100644
--- a/Eigen/src/Eigenvalues/RealSchur.h
+++ b/Eigen/src/Eigenvalues/RealSchur.h
@@ -248,12 +248,24 @@ template<typename MatrixType>
template<typename InputType>
RealSchur<MatrixType>& RealSchur<MatrixType>::compute(const EigenBase<InputType>& matrix, bool computeU)
{
+ const Scalar considerAsZero = (std::numeric_limits<Scalar>::min)();
+
eigen_assert(matrix.cols() == matrix.rows());
Index maxIters = m_maxIters;
if (maxIters == -1)
maxIters = m_maxIterationsPerRow * matrix.rows();
Scalar scale = matrix.derived().cwiseAbs().maxCoeff();
+ if(scale<considerAsZero)
+ {
+ m_matT.setZero(matrix.rows(),matrix.cols());
+ if(computeU)
+ m_matU.setIdentity(matrix.rows(),matrix.cols());
+ m_info = Success;
+ m_isInitialized = true;
+ m_matUisUptodate = computeU;
+ return *this;
+ }
// Step 1. Reduce to Hessenberg form
m_hess.compute(matrix.derived()/scale);
diff --git a/test/eigensolver_complex.cpp b/test/eigensolver_complex.cpp
index 8e2bb9ef0..293b1b265 100644
--- a/test/eigensolver_complex.cpp
+++ b/test/eigensolver_complex.cpp
@@ -131,6 +131,15 @@ template<typename MatrixType> void eigensolver(const MatrixType& m)
ComplexEigenSolver<MatrixType> eig(a.adjoint() * a);
eig.compute(a.adjoint() * a);
}
+
+ // regression test for bug 478
+ {
+ a.setZero();
+ ComplexEigenSolver<MatrixType> ei3(a);
+ VERIFY_IS_EQUAL(ei3.info(), Success);
+ VERIFY_IS_MUCH_SMALLER_THAN(ei3.eigenvalues().norm(),RealScalar(1));
+ VERIFY((ei3.eigenvectors().transpose()*ei3.eigenvectors().transpose()).eval().isIdentity());
+ }
}
template<typename MatrixType> void eigensolver_verify_assert(const MatrixType& m)
diff --git a/test/eigensolver_generic.cpp b/test/eigensolver_generic.cpp
index e18fbf687..d0e644d4b 100644
--- a/test/eigensolver_generic.cpp
+++ b/test/eigensolver_generic.cpp
@@ -76,6 +76,15 @@ template<typename MatrixType> void eigensolver(const MatrixType& m)
EigenSolver<MatrixType> eig(a.adjoint() * a);
eig.compute(a.adjoint() * a);
}
+
+ // regression test for bug 478
+ {
+ a.setZero();
+ EigenSolver<MatrixType> ei3(a);
+ VERIFY_IS_EQUAL(ei3.info(), Success);
+ VERIFY_IS_MUCH_SMALLER_THAN(ei3.eigenvalues().norm(),RealScalar(1));
+ VERIFY((ei3.eigenvectors().transpose()*ei3.eigenvectors().transpose()).eval().isIdentity());
+ }
}
template<typename MatrixType> void eigensolver_verify_assert(const MatrixType& m)
diff --git a/test/eigensolver_selfadjoint.cpp b/test/eigensolver_selfadjoint.cpp
index 4ed126116..39ad4130e 100644
--- a/test/eigensolver_selfadjoint.cpp
+++ b/test/eigensolver_selfadjoint.cpp
@@ -180,6 +180,15 @@ template<typename MatrixType> void selfadjointeigensolver(const MatrixType& m)
SelfAdjointEigenSolver<MatrixType> eig(a.adjoint() * a);
eig.compute(a.adjoint() * a);
}
+
+ // regression test for bug 478
+ {
+ a.setZero();
+ SelfAdjointEigenSolver<MatrixType> ei3(a);
+ VERIFY_IS_EQUAL(ei3.info(), Success);
+ VERIFY_IS_MUCH_SMALLER_THAN(ei3.eigenvalues().norm(),RealScalar(1));
+ VERIFY((ei3.eigenvectors().transpose()*ei3.eigenvectors().transpose()).eval().isIdentity());
+ }
}
template<int>