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A fast algorithm for determining the primitivity of an n x n nonnegative matrix

Creator:

Leegard, Amanda D.

Abstract:

Nonnegative matrices have a myriad of applications in the biological, social, and physical genres. Of particular importance are the primitive matrices. A nonnegative matrix, M, is primitive exactly when there is a positive integer, k, such that M[superscript k] has only positive entries; that is, all the entries in M[superscript...

Resource Type:

Masters Thesis
Network Coding, Random Matrices, and Their Applications to Communication Systems

Creator:

Nguyen-Huu, Duong

Abstract:

In this work, we study network coding technique, its relation to random matrices, and their applications to communication systems. The dissertation consists of three main contributions. First, we propose efficient algorithms for data synchronization via a broadcast channel using random network coding. Second, we study the resiliency of network coding...

Resource Type:

Dissertation