NEW PROPOSED METHODS FOR CODING INFORMATION USING DIRECT PRODUCT OF SYMMETRIC MATRICES AND CONTRACTION FUNCTIONS WITH NEW PROPERTIES OF HERMITIAN MATRICES
DOI:
https://doi.org/10.31642/JoKMC/2018/010111Keywords:
coding information, Hermitian positive definite matricesAbstract
In this paper, two separately methods were suggested for coding information .The first method was
introduced using the directness of symmetric matrices .The contraction function was used for introducing the second method .For more complexity the presented two methods were gathered in one method . And it is proved that the direct product preserves the property of Hermitian positive definite matrices .
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References
Ogata K., “Modem control Engineering” , prentic Hall mt .me., 3e, pp896- 958,1997.
Pottier E. and Lee J. S .,“Application of the Polarimatric Decomposition Theorem for
Unsuperrised Classification of Fully, Polarimatric sar Data Based on the Wishart
Distribution “; email:eric. Pottier @ univrennes. fr,.
Castel M.J., Migallon V., and Penades J.; “on Parallel two- Stage Mthods for Hermitian
Positive Definite Matrices with Applications To Preconditioning”; J. of electronic
Transactions on Numerical Analysis; vol. 12, pp. 88-112, 2001.
Baccaralli E., Biagi M., and Fasano A.; “Optimized Design and Multiple-Antenna 4
Generation WIANS for Partially-Coherent Decoding” , CNR project ,2000.
Zhang Y. Muw. And Amin M.G., “Subspace Analysis of Spatial Time Frequency
Distribution Matrices” ;IEEE Trans. Sgnal process.vol .49, no.4,April,2000.
Mondelli A.A.; An Advanced Eleclromgnetic Eigenmode Solver for Vacuum
Electronics Derices- Ctlss”;Proceedings of the 1999 Particle Accelerator Conference,
New York , pp. 360-362, 1999.
Fuh C.C. and Tung P.C.; “Robust St Bounds for Lure Systems with Parametric
Uncertainty”; J. of Marine Sc. and Tech. Vol.7, No.2, pp.73-78(1999).
Modinos A., Stefanou N., and Yannopupas V.;” Applications of the Layer —KKR
Method to Photonic Crystals”; Optical Society of America, Optics Express,
vol.8,no.3,pp.197- 202,1999 ,
Justh E.W. , Krishnaprasad P.S., and Kub F.J.; “Convergence Analysis and Analog
Circuit Applications for a Class of Networks of Nonlinear Coupled Oscillators; The
National Science Foundation Eng. Research Center Program, MarylandUn., 2000.
Cao, Z.H.; “A note on P-Regular Splitting of Hermitian Matrix; Siam J. on Matrix
Analysis and Appi.; vol.21, no.4, pp .1392- 1393, 2000.
Han V. And Dramc Z.; “On Scaled Almost- Diagonal Hermitian Matrix Pairs; Siam J.
on Matrix Analysis and Applications, vol.18,no.4,pp. 1000- 1012.1997
Pickover,C.,Wonders of Numbers;Oxford University press;2001
Joseph , L. PE ; ANA'S Golden Fractal ; Fractals, Vol. 11, No. 4 ,pp. 309-313 ; 2003
Hutchinson J " Fractal and Self Similarity " , Indian University Mathematics Journal
.vol.30 , pp. 713-740 , 1981 .
Lang. S.; “Linear Algebra”; Addison— wesley pub . PP.200-204; 1980.
Barnet ,S. and Storey, C.; “Matrix Method in Stability Theory” ; Nelson, 1970.
Leech. J.W. and Newman, D.J.; “How To Use Group”; Chapman and Hall Ltd . pp.67;
Saeed U.A. and Shukkue N.H. , Linear Algebra ,Mosul University press ,1984 .
Lang S. ,linear algebra, second edition ,Addison wealey,1984.
Gilbert W.J.,Modern Algebra with Applications,Wiley- Interscience Pub. PP.299;1984.
Roberts F.S. ;“Applied Combinatorics” ; Printic-Hall ,Inc. England, 1984.
Menezes, A., Orschot, P.V.,(1996)Handbock of Applied Cryptography ,CRC
Press,pp.283-319.
Kolman B.(1984), Introductory linear algebra with applications, Macmillan publishing
company ,new york ,3e .
Bartle R.G. ,The element of real analysis ,2e,john wiley and sons ,new york ,pp.105-123,
(1976) .
Josh K.D. ,Introduction to topology , john wiley and sons , New York ,pp.105-123,
(1983) .
Barnsley M. and Demko S.G. ,iterated function systems and the global construction of
fractals ,proc.roy.soc.London ser.A 399,pp243-274,(1985) .
Barnsley M. , Fractals Everywhere , (Academic Press) ,(1989)
Mandelbrot D. , the fractal geometry of nature , freeman , san Francisco , (1982) .
Alfonseca M . and Ortega A., Determination of Fractal, Dimensions From Equivalent L
System ; IBM J.RES & DEV , VOL.45; NO.6 , November ; 2001 .
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