Results 1 to 10 of about 564 (182)

The Tropical Matrix Groups with Symmetric Idempotents [PDF]

Discrete Dynamics in Nature and Society, 2018
In this paper we study the semigroup Mn(T) of all n×n tropical matrices under multiplication. We give a description of the tropical matrix groups containing a diagonal block idempotent matrix in which the main diagonal blocks are real matrices and other ...
Lin Yang
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Idempotent Triangular Matrices over Additively Idempotent Semirings: Decompositions into Products of Semicentral Idempotents

Axioms
The explicit forms of idempotent and semicentral idempotent triangular matrices over an additively idempotent semiring are obtained. We define a diamond composition of idempotents and give a representation of an idempotent n×n matrix as an (n−1)th degree
Dimitrinka Vladeva
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Study Some Properties of a Circulant Matrix

Tikrit Journal of Pure Science, 2023
The aim of this paper is to study the properties of idempotent, nilpotent and stability to a circulant matrix  which generated by the first row, finally we showed the relation between this properties with eigenvalues of this matrix.
Akram Salim Mohammed
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Idempotent operator and its applications in Schur complements on Hilbert C*-module

Special Matrices, 2023
The present study proves that TT is an idempotent operator if and only if R(I−T∗)⊕R(T)=X{\mathcal{ {\mathcal R} }}\left(I-{T}^{\ast })\oplus {\mathcal{ {\mathcal R} }}\left(T)={\mathcal{X}} and (T∗T)†=(T†)2T{\left({T}^{\ast }T)}^{\dagger }={\left({T ...
Karizaki Mehdi Mohammadzadeh, Moghani Zahra Niazi   +1 more
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Miscellaneous equalities for idempotent matrices with applications

Open Mathematics, 2020
This article brings together miscellaneous formulas and facts on matrix expressions that are composed by idempotent matrices in one place with cogent introduction and references for further study.
Tian Yongge
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The Singular Value Decomposition over Completed Idempotent Semifields

Mathematics, 2020
In this paper, we provide a basic technique for Lattice Computing: an analogue of the Singular Value Decomposition for rectangular matrices over complete idempotent semifields (i-SVD).
Francisco J. Valverde-Albacete, Carmen Peláez-Moreno   +1 more
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On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts

Математичні Студії, 2021
We investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ...
P.V. Danchev
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Unique builders for classes of matrices

Special Matrices, 2021
Basic matrices are defined which provide unique building blocks for the class of normal matrices which include the classes of unitary and Hermitian matrices.
Hurley Ted
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Algebraic Solution to Constrained Bi-Criteria Decision Problem of Rating Alternatives through Pairwise Comparisons

Mathematics, 2021
We consider a decision-making problem to evaluate absolute ratings of alternatives from the results of their pairwise comparisons according to two criteria, subject to constraints on the ratings.
Nikolai Krivulin
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Tropical algebra with high-order matrix for multiple-noise removal

Journal of Low Frequency Noise, Vibration and Active Control, 2023
The technology for multiple-noise removal has triggered skyrocketing interest in both mathematics and engineering, and the tropical algebra has laid the foundation for an abundance of noise filters.
Jing Wang
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