کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1136221 1489153 2011 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Accurate matrix exponential computation to solve coupled differential models in engineering
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Accurate matrix exponential computation to solve coupled differential models in engineering
چکیده انگلیسی

The matrix exponential plays a fundamental role in linear systems arising in engineering, mechanics and control theory. This work presents a new scaling-squaring algorithm for matrix exponential computation. It uses forward and backward error analysis with improved bounds for normal and nonnormal matrices. Applied to the Taylor method, it has presented a lower or similar cost compared to the state-of-the-art Padé algorithms with better accuracy results in the majority of test matrices, avoiding Padé’s denominator condition problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 54, Issues 7–8, October 2011, Pages 1835–1840
نویسندگان
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