Global ETD Search

1	A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils Benner, P., Mehrmann, V., Xu, H. 30 October 1998 (has links) (PDF) A new method is presented for the numerical computation of the generalized eigen- values of real Hamiltonian or symplectic pencils and matrices. The method is strongly backward stable, i.e., it is numerically backward stable and preserves the structure (i.e., Hamiltonian or symplectic). In the case of a Hamiltonian matrix the method is closely related to the square reduced method of Van Loan, but in contrast to that method which may suffer from a loss of accuracy of order sqrt(epsilon), where epsilon is the machine precision, the new method computes the eigenvalues to full possible accuracy. eigenvalue problem Hamiltonian pencil matrix symplectic pencil matrix skew-Hamiltonian matrix MSC 65F15 ddc:510
2	A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils Benner, P., Mehrmann, V., Xu, H. 30 October 1998 (has links) A new method is presented for the numerical computation of the generalized eigen- values of real Hamiltonian or symplectic pencils and matrices. The method is strongly backward stable, i.e., it is numerically backward stable and preserves the structure (i.e., Hamiltonian or symplectic). In the case of a Hamiltonian matrix the method is closely related to the square reduced method of Van Loan, but in contrast to that method which may suffer from a loss of accuracy of order sqrt(epsilon), where epsilon is the machine precision, the new method computes the eigenvalues to full possible accuracy. info:eu-repo/classification/ddc/510 ddc:510
3	Canonical forms for Hamiltonian and symplectic matrices and pencils Mehrmann, Volker, Xu, Hongguo 09 September 2005 (has links) (PDF) We study canonical forms for Hamiltonian and symplectic matrices or pencils under equivalence transformations which keep the class invariant. In contrast to other canonical forms our forms are as close as possible to a triangular structure in the same class. We give necessary and sufficient conditions for the existence of Hamiltonian and symplectic triangular Jordan, Kronecker and Schur forms. The presented results generalize results of Lin and Ho [17] and simplify the proofs presented there. Hamiltonian pencil (matrix) Jordan canonical form Kronecker canonical form linear quadratic control symplectic pencil (matrix) ddc:510 Algebraische Riccati-Gleichung Eigenwertproblem
4	Canonical forms for Hamiltonian and symplectic matrices and pencils Mehrmann, Volker, Xu, Hongguo 09 September 2005 (has links) We study canonical forms for Hamiltonian and symplectic matrices or pencils under equivalence transformations which keep the class invariant. In contrast to other canonical forms our forms are as close as possible to a triangular structure in the same class. We give necessary and sufficient conditions for the existence of Hamiltonian and symplectic triangular Jordan, Kronecker and Schur forms. The presented results generalize results of Lin and Ho [17] and simplify the proofs presented there. info:eu-repo/classification/ddc/510 ddc:510 Algebraische Riccati-Gleichung Eigenwertproblem Hamiltonian pencil (matrix) Jordan canonical form Kronecker canonical form linear quadratic control symplectic pencil (matrix)

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