A STABLE COUPLED NEWTON'S ITERATION FOR THE MATRIX INVERSE P-TH ROOT
سال انتشار: 1394
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 160
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شناسه ملی سند علمی:
JR_IJMAC-5-1_006
تاریخ نمایه سازی: 28 دی 1401
چکیده مقاله:
The computation of the inverse roots of matrices arises in evaluating non-symmetriceigenvalue problems, solving nonlinear matrix equations, computing some matrixfunctions, control theory and several other areas of applications. It is possible toapproximate the matrix inverse pth roots by exploiting a specialized version of New-ton's method, but previous researchers have mentioned that some iterations havepoor convergence and stability properties. In this work, a stable recursive techniqueto evaluate an inverse pth root of a given matrix is presented. The scheme is analyzedand its properties are investigated. Computational experiments are also performedto illustrate the strengths and weaknesses of the proposed method.
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نویسندگان
Amir Sadeghi
Young Researcher Club, Shahre-rey branch, Islamic Azad university, Tehran, Iran. Iran, Islamic Republic of