This paper studies off-diagonal decay in symmetric Toeplitz matrices. It is shown that if the generating sequence of the matrix is monotone, positive and convex then the monotonicity and positivity are maintained through triangular decomposition. The work is motivated by recent results on explicit b
β¦ LIBER β¦
Cholesky, Toeplitz and the triangular factorization of symmetric matrices
β Scribed by Olga Taussky; John Todd
- Publisher
- Springer US
- Year
- 2006
- Tongue
- English
- Weight
- 183 KB
- Volume
- 41
- Category
- Article
- ISSN
- 1017-1398
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The aim of this paper is the use of the factorization of five-diagonal matrices as the product of two Toeplitz tridiagonal matrices. Either bounds for the inverse or numerical methods for solving linear systems may be derived. Some results will be extended to block five-diagonal matrices. Applicatio