D:\sbornik\...\333.DVI Mathematical Problems of Computer Science 33, 135{143, 2010. Studies of the M atr ix Gener ator Statistical Featur es S a r g is H o va s a p ya n Yerevan Physics Institute, Yerevan, Armenia e-mail: ske13@yerphi.am Abstract The statistical features for the optimized matrix generator of pseudorandom num- bers are studied. The Â2 and Kolmogorov-Smirnov tests are applied for very long sequences of the tested pseudorandom numbers. Refer ences [1 ] N . Z. A ko p o v, G. K . S a vvid y a n d N .G Te r -A r u t yu n ia n , Ma t r ix g e n e r a t o r o f p s e u d o r a n - d o m n u m b e r , p . 5 7 3 -5 7 9 , 1 9 9 1 [2 ] D .E K n u t h , Th e A r t o f t h e c o m p u t e r p r o g r a m m in g , V o l. 2 S e m i n u m e r ic a l A lg o r it h m s , A d d is o n -W e s le y, 1 9 8 1 [3 ] N . Z. A ko p o v, G.G. A t h a n a s iu , E .G. Flo r a t o s , G.K . S a vvid y, P e r io d o f K s ys t e m g e n - e r a t o r o f p s e u d o r a n d o m n u m b e r s , Cr e a t e U n ive r s it y p r e p r in t CR E TE .TH / 1 2 / 9 5 [4 ] B . Ja n s s o n , R a n d o m N u m b e r Ge n e r a t o r s , S t o c kh o lm , 1 9 6 6 . [5 ] G.A . Ga lp e r in , N .I. Ch e r n o w, B illia r d i I K h a o s , 1 9 6 7 . [6 ] F. Gu t b r o d , N e w t r e n d s in p s e u d o -r a n d o m n u m b e r g e n e r a t io n , D E S Y T-9 8 -0 1 , 1 9 9 8 . [7 ] F. Ja m e s , Mo n t e Ca r lo t h e o r y a n d p r a c t ic e , CE R N Ge n e va , 1 9 8 0 . [8 ] J.H A h r e n s a n d U . D e it e r , \ E xt e n s io n o f Fo r s yt h e 's m e h o d fo r r a n d o m s a m p lin g fr o m t h e N o r m a l d is t r iu t io n " , M ath.Comp27, p p 9 2 7 -9 3 7 , 1 9 7 3 . [9 ] U . D ie t e r , \ P s e u d o -r a n d o m n u m b e r s . Th e e xa c t d is r ib u t io n o f p a ir s " , M ath Comp, 25, p p . 8 5 5 -8 8 3 , 1 9 7 1 . [1 0 ] D . Ca r e y a n d D . D r ija r d , \ Mo n t e Ca r lo p h a s e s p a c e wit h lim it e d t r a n s ve r s e m o m e n - t u m " , J .Comp. P hys, vo l. 2 8 ,p p . 3 2 7 -3 5 6 , 1 9 7 8 . [1 1 ] P .L `E c u ye r . E ± c ie n t a n d p o r t a b le r a n d o m n u m b e r g e n e r a t o r s . Co m . A CM3 1 : 7 4 2 , 1 9 8 8 . [1 2 ] I.M. Co b o l, Ch is le n n ie m e t o d i Mo n t e -Ca r lo , N a u ka , 1 9 7 3 . [1 3 ] F.Ja m e s , A R e vie w o r p r a c t ic a l r a n d o m n u m b e r g e n e r a t o r s , Oc t o b e r 1 9 8 8 . 1 3 5 1 3 6 Studies of the Matrix Generator Statistical Features سïÇó³ÛÇÝ ·»Ý»ñ³ïáñÇ ëï³ïÇëïÇÏ Ñ³ïϳÝÇßÝ»ñÇ áõëáõÙݳëÇñáõÃÛáõÝÝ»ñ ê. Ðáí³ë³÷Û³Ý ²Ù÷á÷áõÙ àõëáõÙݳëÇñí³Í »Ý åë»íá¹áå³ï³Ñ³Ï³Ý Ãí»ñÇ ûåïÇÙǽ³óí³Í Ù³ïñÇó³ÛÇÝ ·»Ý»ñ³ïáñÇ ëï³ïÇëïÇÏ Ñ³ïϳÝÇßÝ»ñÁ: ÎÇñ³éíáõÙ »Ý Â2 ¨ ÎáÉÙá·áñáí-êÙÇñÝáí ï»ëï»ñÁ ß³ï »ñϳñ ѳçáñ¹³Ï³ÝáõÃÛáõÝÝ»ñ áõÝ»óáÕ åë»áõ¹á å³ï³Ñ³Ï³Ý Ãí»ñÇ Ñ³Ù³ñ: