Some New Properties of Frank Matrices with Entries Mersenne Numbers

被引：0
|
作者：
Prasad, Kalika [1 ]
Kumari, Munesh [1 ]
机构：
[1] Govt Engn Coll Bhojpur, Dept Appl Sci & Humanities Math, Arrah 802301, Bihar, India
来源：
NATIONAL ACADEMY SCIENCE LETTERS-INDIA | 2024年
关键词：
Frank matrices; Mersenne numbers; Characteristics polynomials; Determinant; Norms; Spread; EIGENVALUES; FIBONACCI;
D O I：
10.1007/s40009-024-01538-6
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this work, we give some new properties of Frank matrices F[a(n)]=[a(ij)](i,j=1)(n) such that a(ij)=M-n+1-max{i,M-j} or R-n+1-max{i,R-j}, where M-n (R-n) is the nth Mersenne (Fermat) numbers. Here, we obtain some algebraic properties of these matrices such as determinants, matrix norms, characteristic polynomials, spread, etc. In support of the results, we provide numerical validations.
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页数：7
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