کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8901781 1631947 2018 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Rapid generalized Schultz iterative methods for the computation of outer inverses
ترجمه فارسی عنوان
روشهای سریع تکراری شولتز برای محاسبه معکوس بیرونی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
We present a general scheme for the construction of new efficient generalized Schultz iterative methods for computing the inverse matrix and various matrix generalized inverses. These methods have the form Xk+1=Xkp(AXk), where A is m×n complex matrix and p(x) is a polynomial. The construction procedure is general and can be applied to any number of matrix multiplications per iteration, denoted by θ. We use it to construct new methods for θ=6 matrix multiplications per iteration having (up to now) the highest computational efficiency among all other known methods. They are compared to several existing ones on a series of numerical tests. Finally, the numerical instability and the influence of roundoff errors is studied for an arbitrary generalized Schultz iterative method. These results are applicable to all considered new and existing particular iterative methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 344, 15 December 2018, Pages 572-584
نویسندگان
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