کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641907 1341323 2008 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Computing multiple integrals involving matrix exponentials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Computing multiple integrals involving matrix exponentials
چکیده انگلیسی

In this paper, a generalization of a formula proposed by Van Loan [Computing integrals involving the matrix exponential, IEEE Trans. Automat. Control 23 (1978) 395–404] for the computation of multiple integrals of exponential matrices is introduced. In this way, the numerical evaluation of such integrals is reduced to the use of a conventional algorithm to compute matrix exponentials. The formula is applied for evaluating some kinds of integrals that frequently emerge in a number classical mathematical subjects in the framework of differential equations, numerical methods and control engineering applications.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 213, Issue 1, 15 March 2008, Pages 300–305
نویسندگان
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