- Abstract:
- Motivated by a connection with block iterative methods for solving linear systems over finite fields, we consider the probability that the Krylov space generated by a fixed linear mapping and a random set of elements in a vector space over a finite field equals the space itself. We obtain an exact formula for this probability and from it we derive good lower bounds that approach 1 exponentially fast as the size of the set increases.
- Publisher copy:
- 10.1137/S089548010139388X
-
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- Journal:
- SIAM Journal on Discrete Mathematics
- Volume:
- 16
- Issue:
- 2
- Pages:
- 276-287
- Publication date:
- 2003-02-05
- DOI:
- EISSN:
-
1095-7146
- ISSN:
-
0895-4801
- URN:
-
uuid:4ef81183-7baf-481b-9f62-4d1b7456ecb4
- Source identifiers:
-
147531
- Local pid:
- pubs:147531
- Language:
- English
- Keywords:
- Copyright date:
- 2003
Journal article
Random Krylov spaces over finite fields
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