Preprint No. MPIMD/12-11

Title: Real versions of low-rank ADI methods with complex shifts

Author(s): Peter Benner, Patrick Kürschner, Jens Saak


Date: 2012-05-30


This technical note is concerned with implementations of different real versions of the low-rank ADI method. They compute real low-rank solution factors of large-scale generalized Lyapunov equations even if complex ADI shift parameters have been used. As important special case we consider the case when the coefficient matrices result from a linearization of a second order dynamical system.


author = {Peter Benner and Patrick Kürschner and Jens Saak},
title = {Real versions of low-rank ADI methods with complex shifts},
number = {MPIMD/12-11},
month = may,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{}},

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