Expressions for the integer powers of the Min matrix

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BEIRANVAND M.; GHASEMI KAMALVAND M.

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Journal Paper

Paper Information

Journal: Journal of Linear and Topological Algebra Year:2022 | Volume:11 | Issue:3 Page(s): 219-223

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Title

Expressions for the integer powers of the Min matrix

Author(s)

BEIRANVAND M. | GHASEMI KAMALVAND M. | Issue Writer Certificate

Keywords

Eigenvalues

eigenvectors

integer powers

Min matrix

Abstract

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

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APA: Copy

BEIRANVAND, M., & GHASEMI KAMALVAND, M.. (2022). Expressions for the integer powers of the Min matrix. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, 11(3), 219-223. SID. https://sid.ir/paper/1036455/en

Vancouver: Copy

BEIRANVAND M., GHASEMI KAMALVAND M.. Expressions for the integer powers of the Min matrix. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA[Internet]. 2022;11(3):219-223. Available from: https://sid.ir/paper/1036455/en

IEEE: Copy

M. BEIRANVAND, and M. GHASEMI KAMALVAND, “Expressions for the integer powers of the Min matrix,” JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, vol. 11, no. 3, pp. 219–223, 2022, [Online]. Available: https://sid.ir/paper/1036455/en

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