In recent years several new classes of matrices have been
discovered and their structure exploited to design fast and
accurate algorithms. In this new reference work, Raf Vandebril,
Marc Van Barel, and Nicola Mastronardi present the first
comprehensive overview of the mathematical and numerical properties
of the family's newest member: semiseparable matrices.
The text is divided into three parts. The first provides some
historical background and introduces concepts and definitions
concerning structured rank matrices. The second offers some
traditional methods for solving systems of equations involving the
basic subclasses of these matrices. The third section discusses
structured rank matrices in a broader context, presents algorithms
for solving higher-order structured rank matrices, and examines
hybrid variants such as block quasiseparable matrices. An
accessible case study clearly demonstrates the general topic of
each new concept discussed. Many of the routines featured are
implemented in Matlab and can be downloaded from the Web for
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