Normal magic square and its some matrix properties
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2012, Vol 3, Issue 3
Abstract
Some matrix properties on Eigen values, singular values, norm and condition number of normal magic square are presented in this paper. The properties are verified on a number of test examples and numerical results confirm that the properties are very effective for normal magic square. All the properties are checked using computational code in Matlab. In addition moment of inertia, surface plot and contour plot for different order normal magic squares are drawn
Authors and Affiliations
Anup Kumar Thander, Chinmay Ghosh, Goutam Mandal
Cooperating distributed context-free hexagonal array grammar systems with permitting contexts
In this paper we associate permitting symbols with rules of Grammars in the components of cooperating distributed context-free hexagonal array grammar systems as a control mechanism and investigating the generative power...
Projective Synchronization by SMC for a class of Uncertain Chaotic System with Time Varying Delays
This paper is further to investigate the projective synchronization of a class of uncertain chaotic system with time varying delays. Based on the Lyapunov stability theorem, by using the LMI technique and designing...
Fixed points for α-ᴪ Contractive Mapping in 2-Metric spaces
In this paper, we introduce the notion of α-ᴪ contractive type mappings in 2-metric spaces and establish fixed point theorems for these mappings.
Construction of PBIB designs through chosen lines and Triangles of graphs
In this paper, we have constructed partially balanced incomplete block (PBIB) designs with two and three associate classes by establishing a link between PBIB designs and graphs through the chosen lines and number of tri...
On the Oscillation of Third Order Linear Neutral Delay Differential Equations
Sufficient conditions for oscillation of solutions of Third order linear neutral delay differential equations of the type ௗௗ௧ቆݎ(ݐ)ௗమௗ௧మ൫ݕ(ݐ)+(ݐ)ݕ(ݐ−߬)൯ቇ+(ݐ)ݕ(ݐ−ߪ)=0are obtained, where (ݐ),(ݐ)∊ܥ([ݐ,∞),)and(ݐ)≥0,ݎ(ݐ)∊ܥ′...