A circulant matrix is one in which a basic row of numbers is
repeated again and again, but with a shift in position. Such
matrices have connection to problems in physics, signal and image
processing, probability, statistics, numerical analysis, algebraic
coding theory, and many other areas. At the same time, the theory
of circulants is easy, relative to the general theory of matrices.
Practically every matrix-theoretic question for circulants may be
resolved in closed form. Consequently, circulant matrices
constitute a nontrivial but simple set of objects that the reader
may use to practice, and ultimately deepen, a knowledge of matrix
theory. They can also be viewed as special instances of structured
or patterned matrices. This book serves as a general reference on
circulants, as well as provides alternate or supplemental material
for intermediate courses on matrix theory. There is some general
discussion of matrices: block matrices, Kronecker products,
decomposition theorems, generalised inverses. These topics were
chosen because of their application to circulants and because they
are not always found in books on linear algebra. More than 200
problems of varying difficulty are included.
General
Imprint: |
American Mathematical Society
|
Country of origin: |
United States |
Series: |
AMS Chelsea Publishing |
Release date: |
August 2013 |
Authors: |
Philip J. Davis
|
Format: |
Hardcover
|
Pages: |
250 |
Edition: |
2nd Revised edition |
ISBN-13: |
978-0-8218-9165-0 |
Categories: |
Books
|
LSN: |
0-8218-9165-0 |
Barcode: |
9780821891650 |
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