A new block method for computing the Hamiltonian Schur form
نویسندگان
چکیده
A generalization of the method of Chu, Liu and Mehrmann [7] for the computation of the Hamiltonian real Schur form is presented. The new method avoids some of the difficulties that may arise when a Hamiltonian matrix has tightly clustered groups of eigenvalues. A detailed analysis of the method is presented and several numerical examples demonstrate the superior behavior of the method.
منابع مشابه
On the Reduction of a Hamiltonian Matrix to Hamiltonian Schur Form
Recently Chu, Liu, and Mehrmann developed an O(n3) structure preserving method for computing the Hamiltonian real Schur form of a Hamiltonian matrix. This paper outlines an alternate derivation of the method and alternate explanation of why the method works. Our approach places emphasis eigenvalue swapping and relies less on matrix manipulations.
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