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Studying the various properties of MIN and MAX matrices - elementary vs. more advanced methods

Tutkimustuotosvertaisarvioitu

Yksityiskohdat

AlkuperäiskieliEnglanti
Sivut101-109
Sivumäärä9
JulkaisuSpecial Matrices
Vuosikerta4
Numero1
DOI - pysyväislinkit
TilaJulkaistu - tammikuuta 2016
OKM-julkaisutyyppiA1 Alkuperäisartikkeli

Tiivistelmä

Let T = {z1, z2, . . . , zn} be a finite multiset of real numbers, where z1 ≤ z2 ≤ · · · ≤ zn. The purpose of this article is to study the different properties of MIN and MAX matrices of the set T with min(zi , zj) and max(zi , zj) as their ij entries, respectively.We are going to do this by interpreting these matrices as so-called meet and join matrices and by applying some known results for meet and join matrices. Once the theorems are found with the aid of advanced methods, we also consider whether it would be possible to prove these same results by using elementary matrix methods only. In many cases the answer is positive.

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