ABS-Type Methods for Solving m Linear Equations in \frac{m}{k} Steps for k=۱,۲,\cdots,m
سال انتشار: 1396
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 134
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شناسه ملی سند علمی:
JR_IJMAC-7-3_002
تاریخ نمایه سازی: 28 دی 1401
چکیده مقاله:
The ABS methods, introduced by Abaffy, Broyden and Spedicato, aredirect iteration methods for solving a linear system where thei-th iteration satisfies the first i equations, therefore a system of m equations is solved in at most m steps. In thispaper, we introduce a class of ABS-type methods for solving a full rowrank linear equations, where the i-th iteration solves the first۳i equations. We also extended this method for k steps. So,termination is achieved in at most \left[\frac{m+(k-۱)}{k}\right]steps. Morever in our new method in each iteration, we have thethe general solution of each iteration.
کلیدواژه ها:
ABS methods ، rank k update ، linear system ، general solution of a system ، general solution of an iteration
نویسندگان
Leila Asadbeigi
Hamadan Branch, Islamic Azad University
Majid Amirfakhrian
IAUCTB