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- W4381837209 abstract "<abstract><p>In the present paper, we study Min matrix $ mathcal{A}_{min} = left[a_{minleft(i, jright)}right]_{i, j = 1}^n $, where $ a_s $'s are the elements of a real sequence $ leftlbrace a_srightrbrace $. We first obtain a recurrence relation for the characteristic polynomial for matrix $ mathcal{A}_{min} $, and some relations between the coefficients of its characteristic polynomial. Next, we show that the sequence of the characteristic polynomials of the $ i times i left(i leq nright) $ Min matrices satisfies the Sturm sequence properties according to different required conditions of the sequence $ leftlbrace a_srightrbrace $. Using Sturm's Theorem, we get some results about the eigenvalues, such as the number of eigenvalues in an interval. Thus, we obtain the number of positive and negative eigenvalues of Min matrix $ mathcal{A}_{min} $. Finally, we give an example to illustrate our results.</p></abstract>" @default.
- W4381837209 created "2023-06-25" @default.
- W4381837209 creator A5025350099 @default.
- W4381837209 date "2023-01-01" @default.
- W4381837209 modified "2023-09-29" @default.
- W4381837209 title "Sturm's Theorem for Min matrices" @default.
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- W4381837209 doi "https://doi.org/10.3934/math.2023880" @default.
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