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On the construction of real canonical forms of Hamiltonian matrices whose spectrum is an imaginary pair

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  • Coleman, R.

Abstract

If A is a Hamiltonian matrix and P a symplectic matrix, the product P−1AP is a Hamiltonian matrix. In this paper, we consider the case where the matrix A has a pair of imaginary eigenvalues and develop an algorithm which finds a matrix P such that the matrix P−1AP has a particularly simple form, a canonical form.

Suggested Citation

  • Coleman, R., 1998. "On the construction of real canonical forms of Hamiltonian matrices whose spectrum is an imaginary pair," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 46(2), pages 117-155.
    • Handle: RePEc:eee:matcom:v:46:y:1998:i:2:p:117-155
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