Ldu Factorization Results for Bi - Infinite Andsemi - Infinite Scalar and Block Toeplitz
نویسندگان
چکیده
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 approximation by the LDU-factorizations of nite sections are discussed. The generalization of the results to the LDU-factorization of multi-index Toeplitz matrices is outlined.
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...
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