Natural rhotrix

Isere, A. O.

doi:10.1080/23311835.2016.1246074

Cited by 2 publications

(3 citation statements)

References 6 publications

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“…The concept of the codeterminant was also introduced in Isere (2016). This concept is peculiar to rhotrices with ordered entries.…”

Section: Codeterminantsmentioning

confidence: 99%

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Diagonal function of natural rhotrix

Isere

2020

Cogent Mathematics & Statistics

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Natural rhotrix refers to the rhotrix whose elements are all natural numbers, arrayed in their natural order. This type of rhotrix has just recently been introduced in literature. Therefore, this work is taking a further look at its properties. It introduces the concept of diagonal function of a natural rhotrix and examines its properties. It is found that the diagonal function dðA n Þ of a natural rhotrix R n is given as dðA n Þ ¼ ð2ρ þ 1ÞhðR n Þ. Furthermore, it presents the sum of the other elements outside its diagonals as dðA c n Þ ¼ ðjR n j þ 1 À 2nÞhðR n Þ where A n is the set of elements along any of its diagonals, A c n , ρ and hðR n Þ are the complement of A n , the index and the heart of R n respectively. These properties are all peculiar to this beautiful set of rhotrix called the natural rhotrix.

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“…The concept of the codeterminant was also introduced in Isere (2016). This concept is peculiar to rhotrices with ordered entries.…”

Section: Codeterminantsmentioning

confidence: 99%

“…Find the codeterminant of the natural rhotrix below (a) along major column (b) along the major row of the rhotrix (seeIsere (2016)). …”

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confidence: 99%

Diagonal function of natural rhotrix

Isere

2020

Cogent Mathematics & Statistics

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“…Later, Mohammed et al examines the necessary and sufficient condition under which a linear map can be represented over heart-oriented rhotrix [11]. In other papers, Mohammed [10], and Isere [7] present new techniques for expressing rhotrices in a generalized form. Interestingly, Tudunkaya and Manjuola provide a method of constructing finite fields through the use of rhotrices [16].…”

Section: Introductionmentioning

confidence: 99%

Even dimensional rhotrix

Isere¹

2018

NNTDM

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A rhotrix is a rhomboidal array of numbers. In many respects, rhotrices are similar to matrices, and matrices, though, are of both even and odd dimensions but only rhotrices of odd dimension are well-known in literature. Even dimensional rhotrix has not been discussed. Therefore, this article introduces rhotrices with even dimension. These rhotrices are a special type of rhotrix where the heart has been extracted. Analysis, examples and some properties of these even-dimensional (heartless) rhotrices are presented and established as algebraic structures, mathematically tractable, and as a contribution to the concept of rhotrix algebra.

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Natural rhotrix

Cited by 2 publications

References 6 publications

Diagonal function of natural rhotrix

Diagonal function of natural rhotrix

Even dimensional rhotrix

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