A symmetry exploiting Lanczos method for symmetric Toeplitz matrices
โ Scribed by Heinrich Voss
- Book ID
- 110351639
- Publisher
- Springer US
- Year
- 2000
- Tongue
- English
- Weight
- 63 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1017-1398
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The Lanczos method with shift-invert technique is exploited to approximate the symmetric positive semidefinite Toeplitz matrix exponential. The complexity is lowered by the Gohberg-Semencul formula and the fast Fourier transform. Application to the numerical solution of an integral equation is studi
We derive separate spectral functions for the even and odd spectra of a real symmetric Toeplitz matrix, which are given by the roots of those functions. These are rational functions, also commonly referred to as secular functions. Two applications are considered: spectral evolution as a function of