TOWARD SPECIAL SYMMETRIC MATRICES WITH HARMONIC NUMBERS
Publish Year: 1395
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
MATHEMATICS08_028
تاریخ نمایه سازی: 6 شهریور 1401
Abstract:
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.
Authors
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