چکیده مقاله
Solving linear algebraic equations SLAE is significantly important in many science and engineering areas as well as communication and physics problems In this paper, the principal method for solving linear equation system is the Kaczmarz method, its stochastic model, and also stochastic block method, which are based on the random selection of rows or blocks of the desired matrix Furthermore, a quasi random sequence is employed in these methods to improve the uniformity of basic random number generators in the Monte Carlo simulation, and it is shown that the low discrepancy sequences improve the efficiency of proposed methods In fact, it is shown that employing a quasi random number generator provides stability of the computation Moreover, in this paper, an approach for calculating the inverse matrix based on the Kaczmarz method with high accuracy is used
کلیدواژهها
نویسندگان
Behrouz Fathi Vajargah
Department of Statistics, University of Guilan, Rasht, Iran
Kolsoum Yousefpanah
Department of Statistics, University of Guilan, Rasht, Iran
Vassil Alexandrov
Hartree Centre, STFC, Warrington, United Kingdom
شیوه ارجاع
Fathi Vajargah, Behrouz and Yousefpanah, Kolsoum and Alexandrov, Vassil,1400,Enhancing the Performance of Stochastic Iterative Projection Methods Using Quasi Random Numbers for Solving Linear Algebra Problems,Fourth International Conference on Soft Computing
ارائهشده در
مجموعه مقالات چهارمین کنفرانس بین المللی محاسبات نرم8 دی 1400