# Search results for: Asmaa M. Kanan

World Scientific News > 2020 > 139 > 2 > 173-185

World Scientific News > 2019 > 137 > 229-236

Linear Algebra and Its Applications > 2013 > 439 > 10 > 2795-2799

World Scientific News > 2020 > 139 > 2 > 173-185

In this work, we give the representations of the Drazin inverse for the partitioned matrix [■(A_1&A_2@O&A_3 )] with A_1 and A_3 square and singular under the conditions that rank(A_1 )=rank(A_3 )=1, Trace(A_1)≠0 and Trace(A_3)≠0, and then we give the representations of the Drazin inverse for the partitioned EP matrix [■(A_1&A_2@A_3&A_4 )] with A_1 is square and non-singular under the...

World Scientific News > 2019 > 137 > 229-236

Let A ,B be n×n matrices of complex numbers. Let G a vector-valued function of the real variable t. A and B may both be singular, rank(A) = 1, and the trac of A is not equal zero. The linear system of differential equations Ax^' (t)+Bx(t)=G(t) is studied using the Drazin inverse A^D of A, and a new matrix K∈C^(n×n). In this paper, we obtain a new closed form for the general solution of the differential...

Linear Algebra and Its Applications > 2013 > 439 > 10 > 2795-2799

A necessary and sufficient condition under which all bases in a semilinear space of n-dimensional vectors over zerosumfree semirings have exactly n elements is established.