Expressions for the integer powers of the Min matrix
محورهای موضوعی : Linear and multilinear algebra; matrix theory
M. Beiranvand
1
(Department of Mathematics, Lorestan University, Khorramabad, Iran)
M. Ghasemi Kamalvand
2
(Department of Mathematics, Lorestan University, Khorramabad, Iran)
کلید واژه: Eigenvalues, eigenvectors, integer powers, Min matrix,
چکیده مقاله :
‎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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