On modified decomposition of interval matrices and its application
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 32
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شناسه ملی سند علمی:
JR_CMCMA-1-2_011
تاریخ نمایه سازی: 10 تیر 1403
چکیده مقاله:
In this paper we present the LU decomposition of a generalized interval matrix {\bf{A}} under a modified interval arithmetic. This modified interval arithmetic is defined on generalized intervals and possesses group properties with respect to the addition and multiplication operations. These properties cause that the two computed generalized interval matrices {\bf{L}} and {\bf{U}} from the LU decomposition satisfy {\bf{A}}={\bf{L}}{\bf{U}}, with equality in modified interval arithmetic instead of the weaker inclusion in the classical interval arithmetic. Some applications of the new technique for solving interval linear systems are given and effectiveness of the new approach is investigated along some numerical tests.
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نویسندگان
Marzieh Dehghani-Madiseh
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran