01 تیر 1403
خسرو سايوند

خسرو سایوند

مرتبه علمی: استاد
نشانی: ملایر گروه ریاضی دانشگاه ملایر
تحصیلات: دکترای تخصصی / ریاضی
تلفن: 081-33398981
دانشکده: دانشکده علوم ریاضی و آمار

مشخصات پژوهش

عنوان
On the Calculation of the Moore–Penrose and Drazin Inverses: Application to Fractional Calculus
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Caputo sense; convergence order; Drazin inverse; fractional calculus; iterative method; Moore–Penrose inverse; non-smooth solution
سال
2021
مجله Mathematics
پژوهشگران خسرو سایوند

چکیده

This paper presents a third order iterative method for obtaining the Moore–Penrose and Drazin inverses with a computational cost of O(n3), where n∈N. The performance of the new approach is compared with other methods discussed in the literature. The results show that the algorithm is remarkably efficient and accurate. Furthermore, sufficient criteria in the fractional sense are presented, both for smooth and non-smooth solutions. The fractional elliptic Poisson and fractional sub-diffusion equations in the Caputo sense are considered as prototype examples. The results can be extended to other scientific areas involving numerical linear algebra.