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47 // "Balancing a Matrix for Calculation of Eigenvalues and Eigenvectors".
50 void BalanceCompanionMatrix(Matrix* companion_matrix_ptr) {
52 Matrix& companion_matrix = *companion_matrix_ptr;
53 Matrix companion_matrix_offdiagonal = companion_matrix;
59 // lower the 1-norm of the companion matrix to be accepted.
98 VLOG(3) << "Balanced companion matrix is\n" << companion_matrix;
102 Matrix* companion_matrix_ptr) {
104 Matrix& companion_matrix = *companion_matrix_ptr;
159 // Build and balance the companion matrix to the polynomial.
160 Matrix companion_matrix(degree, degree);
165 Eigen::EigenSolver<Matrix> solver(companion_matrix, false);
167 LOG(ERROR) << "Failed to extract eigenvalues from companion matrix.";
271 Matrix lhs = Matrix::Zero(num_constraints, num_constraints);