Algorithm 854: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices II
ACM Transactions on Mathematical Software (TOMS)
Proceedings of the 43rd annual Design Automation Conference
Journal of Computational and Applied Mathematics
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Fast and reliable passivity assessment and enforcement with extended Hamiltonian pencil
Proceedings of the 2009 International Conference on Computer-Aided Design
Extended Hamiltonian pencil for passivity assessment and enforcement for S-parameter systems
Proceedings of the Conference on Design, Automation and Test in Europe
A novel framework for passive macro-modeling
Proceedings of the 48th Design Automation Conference
An overview on the eigenvalue computation for matrices
Neural, Parallel & Scientific Computations
Numerical studies on structure-preserving algorithms for surface acoustic wave simulations
Journal of Computational and Applied Mathematics
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We study large, sparse generalized eigenvalue problems for matrix pencils, where one of the matrices is Hamiltonian and the other is skew-Hamiltonian. Problems of this form arise in the numerical simulation of elastic deformation of anisotropic materials, in structural mechanics, and in the linear quadratic control problem for partial differential equations. We develop a structure-preserving skew-Hamiltonian, isotropic, implicitly restarted shift-and-invert Arnoldi algorithm (SHIRA). Several numerical examples demonstrate the superiority of SHIRA over a competing unstructured method.