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Separable Type Representations of Matrices and Fast Algorithms - Volume 1 Basics. Completion Problems. Multiplication and Inversion Algorithms (Hardcover, 2014 ed.)
Loot Price: R2,994
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Separable Type Representations of Matrices and Fast Algorithms - Volume 1 Basics. Completion Problems. Multiplication and Inversion Algorithms (Hardcover, 2014 ed.)
Series: Operator Theory: Advances and Applications, 234
Expected to ship within 10 - 15 working days
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This two-volume work presents a systematic theoretical and
computational study of several types of generalizations of
separable matrices. The main attention is paid to fast algorithms
(many of linear complexity) for matrices in semiseparable,
quasiseparable, band and companion form. The work is focused on
algorithms of multiplication, inversion and description of
eigenstructure and includes a large number of illustrative examples
throughout the different chapters. The first volume consists of
four parts. The first part is of a mainly theoretical character
introducing and studying the quasiseparable and semiseparable
representations of matrices and minimal rank completion problems.
Three further completions are treated in the second part. The first
applications of the quasiseparable and semiseparable structure are
included in the third part where the interplay between the
quasiseparable structure and discrete time varying linear systems
with boundary conditions play an essential role. The fourth part
contains factorization and inversion fast algorithms for matrices
via quasiseparable and semiseparable structure. The work is based
mostly on results obtained by the authors and their coauthors. Due
to its many significant applications and the accessible style the
text will be useful to engineers, scientists, numerical analysts,
computer scientists and mathematicians alike.
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