Expressions for the integer powers of the Min matrix
الموضوعات :M. Beiranvand 1 , M. Ghasemi Kamalvand 2
1 - Department of Mathematics, Lorestan University, Khorramabad, Iran
2 - Department of Mathematics, Lorestan University, Khorramabad, Iran
الکلمات المفتاحية: Eigenvalues, eigenvectors, integer powers, Min matrix,
ملخص المقالة :
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.
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