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Preprint 22-2009

PEPACK: A Software Package for computing the Numerical Solution of palindromic and even eigenvalue problems using the Pencil Laub Trick

Source file is available as :   Portable Document Format (PDF)

Author(s) : Lisa Poppe , Christian Schroeder , Ina Thies

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 22-2009

MSC 2000

65-04 Explicit machine computation and programs
65F15 Eigenvalues, eigenvectors

Abstract :
We describe a software package for computing the numerical solution of palindromic and even eigenvalue problems using the Pencil Laub Trick. The package contains Fortran 77 routines which reduce real and complex palindromic and even pairs of matrices to anti-triangular form. We give explicit descriptions how to use the package including an example.

Keywords : palindromic eigenvalue problem, even eigenvalue problem, software, anti-triangular

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