Mersin, Efruz Özlem2023-10-102023-10-1020232473-6988https:/dx.doi.org10.3934/math.2023880https://hdl.handle.net/20.500.12451/11121In the present paper, we study Min matrix, where as’s are the elementsof a real sequence {as}. We first obtain a recurrence relation for the characteristic polynomial for matrix Amin, and some relations between the coefficients of its characteristic polynomial. Next, we show that the sequence of the characteristic polynomials of the i× i (i ? n) Min matrices satisfies the Sturm sequence properties according to different required conditions of the sequence {as}. 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 Amin. Finally, we give an example to illustrate our results.eninfo:eu-repo/semantics/closedAccessCharacteristic PolynomialEigenvalueMin-Max MatricesSturm’s TheoremArticle87172291724510.3934/math.2023880Q1WOS:000995790200001Q1