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A method for solving Hamiltonian eigenvalue problem

A. H. Bentbib, A. Kanber


Our purpose in this work is to adapt the nonsymmetric Jacobi iteration to the special case of Hamiltonian structure. We describe a way to compute a Hamiltonian Schur form by using sequence of symplectic similarity transformations. Our idea is to use new symplectic Givens rotations defined on the K-module structure. The construction of those transformations are defined in parallel with the classical Givens rotations in the euclidean spaces.


Hamiltonian-matrix , Jacobi-algorithm, rotation, Symplectic , Schur-decomposition, module. rotations, factorization.

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