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مقاله
1 - On computing of integer positive powers for one type of tridiagonal and antitridiagonal matrices of even orderJournal of Linear and Topological Algebra , شماره 1 , سال 10 , زمستان 2021In this paper, firstly we derive a general expression for the $m$th power ($m\in\mathbb{N}$) for one type of tridiagonal matrices of even order. Secondly we present a method for computing integer powers of the antitridiagonal matrices that is corresponding with these ma چکیده کاملIn this paper, firstly we derive a general expression for the $m$th power ($m\in\mathbb{N}$) for one type of tridiagonal matrices of even order. Secondly we present a method for computing integer powers of the antitridiagonal matrices that is corresponding with these matrices. Then, we present some examples to illustrate our results and give Maple 18 procedure in order to verify our calculations پرونده مقاله -
مقاله
2 - Expressions for the integer powers of the Min matrixJournal of Linear and Topological Algebra , شماره 4 , سال 11 , تابستان 2022In 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 c چکیده کاملIn 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. پرونده مقاله