Expressions for the integer powers of the Min matrix

Journal of Linear and Topological Algebra

دوره 11، شماره 03، آذر 2022، صفحه 219-223   

نوع مقاله: Review paper

شناسه دیجیتال (DOI): 10.30495/jlta.2022.1962994.1504

نویسندگان

M. Beiranvand^* ؛ M. Ghasemi Kamalvand

Department of Mathematics, Lorestan University, Khorramabad, Iran

چکیده

‎In this paper‎, ‎we derive the general expression for the entries of the positive integer powers of the Min matrix $A=[\text{min}\{i,j\}];\; i,j=1,2,\cdots,n$ of arbitrary order‎. ‎Also‎, ‎we give Maple 18 procedures in order to verify our calculations‎.

کلیدواژه‌ها

Eigenvalues؛ eigenvectors؛ integer powers؛ Min matrix

مراجع

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