A new Monte Carlo method for solving systems of linear algebraic equations
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
View: 137
This Paper With 21 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_CMDE-9-1_010
تاریخ نمایه سازی: 15 بهمن 1401
Abstract:
In this paper, we firstly study the employing of the Monte Carlo method for solving system of linear algebraic equations and then analyze on convergence of this method. We propound new results related to the convergence of the Monte Carlo method. Additionally, we introduce a new Monte Carlo algorithm with effective techniques. Finally, we compare the efficiency of new Monte Carlo algorithm with its old version in the numerical experiments.
Keywords:
System of linear algebraic equations , Monte Carlo method , Transition probability matrix , Spectral radius , Ergodic Markov chain