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48 // "Balancing a Matrix for Calculation of Eigenvalues and Eigenvectors".
51 void BalanceCompanionMatrix(Matrix* companion_matrix_ptr) {
53 Matrix& companion_matrix = *companion_matrix_ptr;
54 Matrix companion_matrix_offdiagonal = companion_matrix;
60 // lower the 1-norm of the companion matrix to be accepted.
99 VLOG(3) << "Balanced companion matrix is\n" << companion_matrix;
103 Matrix* companion_matrix_ptr) {
105 Matrix& companion_matrix = *companion_matrix_ptr;
227 // Build and balance the companion matrix to the polynomial.
228 Matrix companion_matrix(degree, degree);
233 Eigen::EigenSolver<Matrix> solver(companion_matrix, false);
235 LOG(ERROR) << "Failed to extract eigenvalues from companion matrix.";
346 Matrix lhs = Matrix::Zero(num_constraints, num_constraints);