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Shorted matrices in star and related orderings

✍ Scribed by Sujit Kumar Mitra

Book ID
112501763
Publisher
Springer
Year
1990
Tongue
English
Weight
713 KB
Volume
9
Category
Article
ISSN
0278-081X

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Characterizations of minus and star orders between the squares of Hermitian matrices
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Groß [Linear Algebra Appl. 326 (2001) 215] developed characterizations of the minus and star partial orders between the squares of Hermitian nonnegative definite matrices referring to the concept of the space preordering. In the present paper, his results are generalized by deleting the nonnegative

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## Abstract We investigate signings of symmetric GDD($16 \times 2^i$, 16, $2^{4-i}$)s over $Z\_2$ for $1 \le i \le 3$. Beginning with $i=1$, at each stage of this process a signing of a GDD($16 \times 2^i$, 16, $2^{4-i}$) produces a GDD($16 \times 2^{i+1}$, 16, $2^{4-i-1}$). The initial GDDs ($i=1$