AN ALGORITHM FOR CONSTRUCTING INTEGRAL ROW STOCHASTIC MATRICES

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Ilkhanizadeh Manesh A.

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Journal Paper

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Journal: Journal of Mahani Mathematical Research Year:2022 | Volume:11 | Issue:1 Page(s): 69-77

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Title

AN ALGORITHM FOR CONSTRUCTING INTEGRAL ROW STOCHASTIC MATRICES

Author(s)

Ilkhanizadeh Manesh A. | Issue Writer Certificate

Keywords

Eigenvalue

Majorization

Integral row stochastic

Abstract

Let MnMn be the set of all nn-by-nn real matrices, and let RnRn be the set of all nn-by-11 real (column) vectors. An nn-by-nn matrix R=[rij]R=[rij] with nonnegative entries is called row stochastic, if ∑ nk=1rik∑ k=1nrik is equal to 1 for all ii, (1≤ i≤ n)(1≤ i≤ n). In fact, Re=eRe=e, where e=(1, … , 1)t∈ Rne=(1, … , 1)t∈ Rn. A matrix R∈ MnR∈ Mn is called Integral row stochastic, if each row has exactly one nonzero entry, +1+1, and other entries are zero. In the present paper, we provide an algorithm for constructing Integral row stochastic matrices, and also we show the relationship between this algorithm and Majorization theory.

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APA: Copy

Ilkhanizadeh Manesh, A.. (2022). AN ALGORITHM FOR CONSTRUCTING INTEGRAL ROW STOCHASTIC MATRICES. JOURNAL OF MAHANI MATHEMATICAL RESEARCH, 11(1), 69-77. SID. https://sid.ir/paper/974700/en

Vancouver: Copy

Ilkhanizadeh Manesh A.. AN ALGORITHM FOR CONSTRUCTING INTEGRAL ROW STOCHASTIC MATRICES. JOURNAL OF MAHANI MATHEMATICAL RESEARCH[Internet]. 2022;11(1):69-77. Available from: https://sid.ir/paper/974700/en

IEEE: Copy

A. Ilkhanizadeh Manesh, “AN ALGORITHM FOR CONSTRUCTING INTEGRAL ROW STOCHASTIC MATRICES,” JOURNAL OF MAHANI MATHEMATICAL RESEARCH, vol. 11, no. 1, pp. 69–77, 2022, [Online]. Available: https://sid.ir/paper/974700/en

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