Sturm’s Theorem for Min matrices
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Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Institute of Mathematical Sciences
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Characteristic Polynomial, Eigenvalue, Min-Max Matrices, Sturm’s Theorem
Kaynak
AIMS Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
8
Sayı
7
