Results 211 to 220 of about 681,287 (260)

On the Validity of the Direct Sum Conjecture

SIAM Journal on Computing, 1986
The direct sum conjecture states that the multiplicative complexity of disjoint sets of bilinear computations is the sum of their separate multiplicative complexities. This conjecture is known to hold for only a few specialized cases. In this paper, we establish its validity for large classes of computations.
Jean Takche, Joseph Ja'Ja'
exaly   +4 more sources

Sum and Direct Sum of Frame Sequences

Linear and Multilinear Algebra, 2013
Casazza, Han and Larson characterized various properties of the direct sum of two frame sequences. We add characterizations of other properties and study the relationship between the direct sum and the sum of frame sequences. In particular, we find a necessary and sufficient condition for the sum of two strongly disjoint (orthogonal) frame sequences ...
Jae Kun Lim, Yoo Young Koo
exaly   +2 more sources

The Direct Sum of q-Matroids

open access: yesJournal of Algebraic Combinatorics
Abstract For classical matroids, the direct sum is one of the most straightforward methods to make a new matroid out of existing ones. This paper defines a direct sum for q -matroids, the q -analogue of matroids.
Michela Ceria, Relinde Jurrius
exaly   +3 more sources

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