کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8953093 | 1645907 | 2018 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Inertia, positive definiteness and âp norm of GCD and LCM matrices and their unitary analogs
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Let S={x1,x2,â¦,xn} be a set of distinct positive integers, and let f be an arithmetical function. The GCD matrix (S)f on S associated with f is defined as the nÃn matrix having f evaluated at the greatest common divisor of xi and xj as its ij entry. The LCM matrix [S]f is defined similarly. We consider inertia, positive definiteness and âp norm of GCD and LCM matrices and their unitary analogs. Proofs are based on matrix factorizations and convolutions of arithmetical functions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 558, 1 December 2018, Pages 1-24
Journal: Linear Algebra and its Applications - Volume 558, 1 December 2018, Pages 1-24
نویسندگان
Pentti Haukkanen, László Tóth,