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Introduction to Large Truncated Toeplitz Matrices (Paperback, Softcover reprint of the original 1st ed. 1999)
Loot Price: R2,941
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Introduction to Large Truncated Toeplitz Matrices (Paperback, Softcover reprint of the original 1st ed. 1999)
Series: Universitext
Expected to ship within 10 - 15 working days
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Applying functional analysis and operator theory to some concrete
asymptotic problems of linear algebra, this book contains results
on the stability of projection methods, deals with asymptotic
inverses and Moore-Penrose inversion of large Toeplitz matrices,
and embarks on the asymptotic behaviour of the norms of inverses,
the pseudospectra, the singular values, and the eigenvalues of
large Toeplitz matrices. The approach is heavily based on Banach
algebra techniques and nicely demonstrates the usefulness of
C*-algebras and local principles in numerical analysis, including
classical topics as well as results and methods from the last few
years. Though employing modern tools, the exposition is elementary
and points out the mathematical background behind some interesting
phenomena encountered with large Toeplitz matrices. Accessible to
readers with basic knowledge in functional analysis, the book
addresses graduates, teachers, and researchers and should be of
interest to everyone who has to deal with infinite matrices
(Toeplitz or not) and their large truncations.
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