The book is devoted to the perturbation analysis of matrix
equations. The importance of perturbation analysis is that it gives
a way to estimate the influence of measurement and/or parametric
errors in mathematical models together with the rounding errors
done in the computational process. The perturbation bounds may
further be incorporated in accuracy estimates for the solution
computed in finite arithmetic. This is necessary for the
development of reliable computational methods, algorithms and
software from the viewpoint of modern numerical analysis.
In this book a general perturbation theory for matrix algebraic
equations is presented. Local and non-local perturbation bounds are
derived for general types of matrix equations as well as for the
most important equations arising in linear algebra and control
theory. A large number of examples, tables and figures is included
in order to illustrate the perturbation techniques and bounds.
Key features:
The first book in this field
Can be used by a variety of specialists
Material is self-contained
Results can be used in the development of reliable computational
algorithms
A large number of examples and graphical illustrations are
given
Written by prominent specialists in the field
"
General
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