Title : 
On the ranks of certain matrices
         
        
            Author : 
Murthy, K.V.V. ; Ramachandran, V.
         
        
            Author_Institution : 
Concordia University, Montreal, Canada
         
        
        
        
        
        
        
            Abstract : 
A few basic results regarding the ranks of certain types of matrices are presented. Also, some bounds on the ranks of the real and imaginary parts of a positive semi-definite Hermitian matrix are worked out. Applications of particular cases of these results in the areas like passive network synthesis, generation of two-variable reactance matrices, etc., are pointed out.
         
        
            Keywords : 
Corrugated surfaces; Dielectrics; Dispersion; Electromagnetic waveguides; Ferrites; Frequency estimation; Magnetic field measurement; Reflection; Slabs; Tellurium;
         
        
        
            Journal_Title : 
Proceedings of the IEEE
         
        
        
        
        
            DOI : 
10.1109/PROC.1981.12118