LDU factorization results for bi-infinite and semi-infinite scalar and block Toeplitz matrices
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چکیده
منابع مشابه
Ldu Factorization Results for Bi-infinite and Semi-infinite Scalar and Block Toeplitz Matrices
ABSTllACT-In this article various existence results for the LDU-factorization of semi-infinite and bi-infinite scalar and block Toeplitz matrices and numerical methods for computing them are reviewed. Moreover, their application to the orthonormal-ization of splines is indicated. Both banded and non-banded Toeplitz matrices are considered. Extensive use is made of matrix polynomial theory. Resu...
متن کاملLdu Factorization Results for Bi - Infinite Andsemi - Infinite Scalar and Block Toeplitz
In this article various existence results for the LDU-factorization of semi-innnite and bi-innnite scalar and block Toeplitz matrices and numerical methods for computing them are reviewed. Moreover, their application to the orthonor-malization of splines is indicated. Both banded and non-banded Toeplitz matrices are considered. Extensive use is made of matrix polynomial theory. Results on the a...
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In this paper we formulate a theory of LU and Cholesky factorization of bi-infinite block Toeplitz matrices A = (Ai−j )i,j∈Zd indexed by i, j ∈ Zd and develop two numerical methods to compute such factorizations. © 2002 Elsevier Science Inc. All rights reserved.
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In this article Banach algebra techniques are employed to study the numerical solution of linear systems with a semi-infinite multi-index suitably perturbed k × k block Toeplitz matrix. Decay properties of their solutions are studied by using suitably weighted Wiener algebras. A projection-type method for their numerical solution is introduced. Numerical results are presented illustrating both ...
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ژورنال
عنوان ژورنال: CALCOLO
سال: 1996
ISSN: 0008-0624,1126-5434
DOI: 10.1007/bf02576007