کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900628 1631718 2018 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bounds for variable degree rational L∞ approximations to the matrix exponential
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Bounds for variable degree rational L∞ approximations to the matrix exponential
چکیده انگلیسی
In this work we derive new alternatives for efficient computation of the matrix exponential which is useful when solving Linear Initial Value Problems, vibratory systems or after semidiscretization of PDEs. We focus especially on the two classes of normal and nonnegative matrices and we present intervals of applications for rational L∞ approximations of various degrees for these types of matrices in the lines of [7, 8]. Our method relies on Remez algorithm for rational approximation while the innovation here is the choice of the starting set of non-symmetrical Chebyshev points. Only one Remez iteration is then usually enough to quickly approach the actual L∞ approximant.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 338, 1 December 2018, Pages 376-386
نویسندگان
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