Matrices as sums of squares
โ Scribed by Griffin, Malcolm; Krusemeyar, Mark
- Book ID
- 120584230
- Publisher
- Taylor and Francis Group
- Year
- 1977
- Tongue
- English
- Weight
- 466 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0308-1087
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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