Explicit inverse of a tridiagonalk−Toeplitz matrix
✍ Scribed by C.M. da Fonseca; J. Petronilho
- Book ID
- 105878776
- Publisher
- Springer-Verlag
- Year
- 2005
- Tongue
- English
- Weight
- 222 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A particular binary circulant matrix is considered and an explicit form of its inverse is given. Such a matrix was originated in studying a particular discrete optimization problem. Let the positive integers m, k, with m > k, be given; and consider the square matrix A =(aii) of order m, where
It is shown that the invertibility of a Toeplitz matrix can be determined through the solvability of two standard equations. The inverse matrix can be denoted as a sum of products of circulant matrices and upper triangular Toeplitz matrices. The stability of the inversion formula for a Toeplitz matr