چکیده مقاله
In this note a particular symmetric matrix H = where and Hn is the nthHarmonic number is considered Then we construct its Hadamard exponential matrix e◦H = e Determinant and leading principal minors of these matrices are investigated We show that these matricesare invertible and we establish their inversions Moreover Euclidean norm of H and some bounds for thespectral norm of these matrices are derived Finally other properties of these matrices are represented
نویسندگان
Seyyed Hossein Jafari-Petroudi
Department of Mathematics, Payame Noor University, P O Box ۱۹۳۵ ۳۶۹۷, Tehran, Iran
Maryam Pirouz
Department of Computer, Guilan University, Rasht, Iran
شیوه ارجاع
Jafari-Petroudi, Seyyed Hossein and Pirouz, Maryam,1395,TOWARD SPECIAL SYMMETRIC MATRICES WITH HARMONIC NUMBERS,8th National Conference on Mathematics, Payame Noor University
ارائهشده در
مجموعه مقالات هشتمین همایش ملی ریاضی دانشگاه پیام نور22 اردیبهشت 1395