Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Numerical methods for the solution of large scale structured quadratic eigenvalue problems are discussed.  describe a new extraction procedure for the computation of eigenvectors and invariant subspaces of skew-Hamiltonian/Hamiltonian pencils using the recently proposed skew-Hamiltonian isotropic implicitly restarted Arnoldi method (SHIRA).#R##N#As an application  discuss damped gyroscopic systems. For this problem  first solve the eigenvalue problem for the undamped system using the structure-preserving method and then use the quadratic Jacobi--Davidson method as correction procedure.  also illustrate the properties of the new approach for several other application problems.
['Tsung Min Hwang', 'Wen Wei Lin', 'Volker Mehrmann']
I am writing a research paper on a idea Numerical Solution of Quadratic Eigenvalue Problems with Structure-Preserving Methods
[{"from": "human", "value": "I am writing a research paper on a idea Numerical Solution of Quadratic Eigenvalue Problems with Structure-Preserving Methods"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Numerical methods for the solution of large scale structured quadratic eigenvalue problems are discussed.  describe a new extraction procedure for the computation of eigenvectors and invariant subspaces of skew-Hamiltonian/Hamiltonian pencils using the recently proposed skew-Hamiltonian isotropic implicitly restarted Arnoldi method (SHIRA).#R##N#As an application  discuss damped gyroscopic systems. For this problem  first solve the eigenvalue problem for the undamped system using the structure-preserving method and then use the quadratic Jacobi--Davidson method as correction procedure.  also illustrate the properties of the new approach for several other application problems."}]