Let A be a matrix over the integers, and let p be a positive integer. A submatrix B of A is zerosum mod p if the sum of each row of B and the sum of each column of B is a multiple of p. Let M( p, k) denote the least integer m for which every square matrix of order at least m has a square submatrix o
Sums of commuting square-zero transformations
โ Scribed by Nika Novak
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 107 KB
- Volume
- 431
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
Wang and Wu characterized matrices which are sums of two square-zero matrices, and proved that every matrix with trace-zero is a sum of four square-zero matrices. Moreover, they gave necessary or sufficient conditions for a matrix to be a sum of three square-zero matrices. In particular, they proved
## Mean square continuity of a random process is of considerable theoretical and practical importance. Mean square continuous random processes passed through zero memory non-linearities are considered. Several conditions are given relating to mean square continuity of the output. Bounded zero memory