کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4633709 | 1340677 | 2009 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Extension of the Lasserre-Avrachenkov theorem on the integral of multilinear forms over simplices
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The Lasserre-Avrachenkov theorem on integration of symmetric multilinear forms over simplices establishes a method (called LA) for integrating homogeneous polynomials over simplices. Although the computational complexity of LA is generally much higher than that of the other known methods (e.g. Grundmann-Moller formula), it is still useful in deriving closed-form expressions for the value of such integrals. However, LA cannot be directly applied for nonhomogeneous polynomials. It is shown in this paper that Lasserre-Avrachenkov theorem holds for a wider class of symmetric forms, to be called quasilinear forms. This extension can substantially facilitate derivation of a closed-form expression (not computation) for integral of some nonhomogeneous polynomials (such as âj=1qbj+âi=1nci,jxi) over simplices.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 212, Issue 1, 1 June 2009, Pages 94-99
Journal: Applied Mathematics and Computation - Volume 212, Issue 1, 1 June 2009, Pages 94-99
نویسندگان
Mohammadali Khosravifard, Morteza Esmaeili, Hossein Saidi,