"This notebook walks you through how to implement simple functions that set the diagonal elements of a square matrix to the components of a given vector." "We will use some functions that are part of ...

Abstract: This paper presents a kind of the inverse eigenvalue problem for the real five-diagonal matrix: Given three real numbers unequal, three nonzero real vectors, another n-2 real numbers as well ...

1 Department of Mathematics, Faculty of Science, Menoufia University, Shebeen El-Kom, Egypt. 2 Department of Mathematics, Faculty of Science, Zagazig University, Ash Sharqiyah, Egypt. In many ...

Abstract: The theoretical analysis of randomized compressive operators often relies on the existence of a concentration of measure inequality for the operator of interest. Though commonly studied for ...

We study several variants of decomposing a symmetric matrix into a sum of a low-rank positive semidefinite matrix and a diagonal matrix. Such decompositions have applications in factor analysis and ...

This paper attempts to resolve the problem concerning the interval observers design for linear systems with ostensible Metzler system matrices. Because system dynamics matrices are partially different ...

I am trying to perform an eigenvalue analysis and extract all necessary modal data with the purpose of doing some external post-processes. After seeing several examples (tests) I am confident with the ...

Department of Cyber-Physical Systems, Clark Atlanta University, Atlanta, GA, USA. where P is some reflection (symmetric signed permutation) matrix. Like U, the generalized reflexive matrices A arise ...