On the fast reduction of a quasiseparable matrix to Hessenberg and tridiagonal forms
β Scribed by Yuli Eidelman; Israel Gohberg; Luca Gemignani
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 222 KB
- Volume
- 420
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
In this paper we discuss a recursive divide and conquer algorithm to compute the inverse of an unreduced tridiagonal matrix. It is based on the recursive application of the Sherman Morrison formula to a diagonally dominant tridiagonal matrix to avoid numerical stability problems. A theoretical study
In this paper, Lanczos and Arnoldi reduction methods as the special cases of the generalized Hessenberg method are brieΒ―y reviewed. Attention is paid to the eect of symmetry of matrices on the behaviour of the reduction schemes, such as serious numerical breakdown. Based on the summation decompositi