the matrix functions appear in several applications in engineering and sciences. the computation of these functions almost involved complicated theory. thus, improving the concept theoretically seems unavoidable to obtain some new relations and algorithms for evaluating these functions. the aim of this paper is proposing some new reciprocal for the function of block anti diagonal matrices. more...

‎‎‎This paper presents a remarkable formula for spectral distance of a given block normal matrix $G_{D_0} = begin{pmatrix}‎ ‎A & B \‎ ‎C & D_0‎ ‎end{pmatrix} $ to set of block normal matrix $G_{D}$ (as same as $G_{D_0}$ except block $D$ which is replaced by block $D_0$)‎, ‎in which $A in mathbb{C}^{ntimes n}$ is invertible‎, ‎$ B in mathbb{C}^{ntimes m}‎, ‎C in mathbb{C}^{mti...

Climate change represents one of the most serious threats to well-being humanity. In recent decades, there has been a significant increase in amount research dedicated analysing economic impacts climate change. Nevertheless, spatial aspect not addressed. This is first empirically assess both direct and indirect (spillover) effects change, as measured by temperature variations, on growth. The em...

We consider a certain subclass of Henneberg-type edge-weighted graphs which is related to protein structure, and discuss an algorithmic relationship between the DISTANCE GEOMETRY PROBLEM and the EUCLIDEAN DISTANCE MATRIX COMPLETION PROBLEM.