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Reduction and normal forms of matrix pencils

, 2011
. Matrix pencils, or pairs of matrices, may be used in a variety of applications. In particular, a pair of matrices (E,A) may be interpreted as the differential equation Ex ′ + Ax = 0.
Olivier Verdier
core

Component graphs of vector spaces and zero-divisor graphs of ordered sets

AKCE International Journal of Graphs and Combinatorics
In this paper, nonzero component graphs and nonzero component union graphs of finite-dimensional vector spaces are studied using the zero-divisor graph of a specially constructed 0–1-distributive lattice and the zero-divisor graph of rings.
Nilesh Khandekar, Peter J. Cameron, Vinayak Joshi +2 more
doaj +1 more source

Spaces Of Rank-2 Matrices Over Gf(2)

, 2007
. The possible dimensions of spaces of matrices over GF(2) whose nonzero elements all have rank 2 are investigated. Key words. Matrix, rank, rank-k space. AMS subject classifications. 15A03, 15A33, 11T35 Let Mm;n (F ) denote the vector space of all m \
Leroy Beasley
core

Sequencing Analysis and Identification of the Primary Peptide Component of the Dialyzable Leukocyte Extract "Transferon Oral": The Starting Point to Understand Its Mechanism of Action. [PDF]