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Forgot to 'hg add' example file in last commit.
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The computation is the same as in the real case, except that the
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complex Schur decomposition is used to reduce the matrix to a
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triangular matrix. The theoretical cost is the same. Details are in:
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Åke Björck and Scen Hammarling, "A Schur method for the
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Åke Björck and Sven Hammarling, "A Schur method for the
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square root of a matrix", <em>Linear Algebra Appl.</em>,
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52/53:127–140, 1983.
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unsupported/doc/examples/MatrixSquareRoot.cpp
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unsupported/doc/examples/MatrixSquareRoot.cpp
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#include <unsupported/Eigen/MatrixFunctions>
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#include <iostream>
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using namespace Eigen;
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int main()
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{
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const double pi = std::acos(-1.0);
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MatrixXd A(2,2);
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A << cos(pi/3), -sin(pi/3),
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sin(pi/3), cos(pi/3);
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std::cout << "The matrix A is:\n" << A << "\n\n";
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std::cout << "The matrix square root of A is:\n" << A.sqrt() << "\n\n";
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std::cout << "The square of the last matrix is:\n" << A.sqrt() * A.sqrt() << "\n";
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}
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