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Sums and Products of Square-Zero Matrices

โœ Scribed by Mohammadian, A.


Book ID
115523268
Publisher
Taylor and Francis Group
Year
2012
Tongue
English
Weight
129 KB
Volume
40
Category
Article
ISSN
0092-7872

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๐Ÿ“œ SIMILAR VOLUMES


Zero-sum Square Matrices
โœ Paul Balister; Yair Caro; Cecil Rousseau; Raphael Yuster ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 94 KB

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

On sums of three square-zero matrices
โœ K. Takahashi ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 98 KB

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

Matrices as sums of squares
โœ Griffin, Malcolm; Krusemeyar, Mark ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Taylor and Francis Group ๐ŸŒ English โš– 466 KB