Matrix Inversion by the Annihilation of Rank
โ Scribed by Wilf, Herbert S.
- Book ID
- 118192333
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1959
- Weight
- 211 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0368-4245
- DOI
- 10.1137/0107013
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For given complex matrix A and nonzero complex vectors b, c, relationships between generalized inverses of A and generalized inverses of the rank-one-modified matrix M = A + bc \* (with c \* being the conjugate transpose of c) are investigated. The following three questions are considered: (i) when
The goal of the paper is a generalized inversion of finite rank Hankel operators and Hankel or Toeplitz operators with block matrices having finitely many rows. To attain it a left coprime fractional factorization of a strictly proper rational matrix function and the Bezout equation are used. Genera