The symplectic eigenvalue problem is helpful, e.g., in analyzing a
number of different questions that arise in linear control theory
for discrete-time systems. Industrial production and technological
processes may suffer from unwanted behavior, e.g., losses in the
start-up and change-over phases of operation, pollution, emission
of harmful elements, and production of unwanted by-products.
Control techniques offer the possibility of analyzing such
processes in order to detect the underlying causes of the unwanted
behavior. This monograph describes up-to-date techniques for
solving small to medium-sized as well as large and sparse
symplectic eigenvalue problems. The text presents all developed
algorithms in Matlab-programming style and numerical examples to
demonstrate their abilities, all of which makes the text accessible
to graduate students in applied mathematics and control
engineering, as well as to researchers in these areas.
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