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Nonlinear matrix equations arise frequently in applied science and
engineering. This is the first book to provide a unified treatment
of structure-preserving doubling algorithms, which have been
recently studied and proven effective for notoriously challenging
problems, such as fluid queue theory and vibration analysis for
high-speed trains. The authors present recent developments and
results for the theory of doubling algorithms for nonlinear matrix
equations associated with regular matrix pencils, and highlight the
use of these algorithms in achieving robust solutions for
notoriously challenging problems that other methods cannot.
Structure-Preserving Doubling Algorithms for Nonlinear Matrix
Equations is intended for researchers and computational scientists.
Graduate students may also find it of interest.
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