Results 51 to 60 of about 606 (79)
On the matrix equation $XA+AX^T =0$, II: Type 0-I interactions
The matrix equation $XA + AX^T = 0$ was recently introduced by De Ter\'an and Dopico to study the dimension of congruence orbits. They reduced the study of this equation to a number of special cases, several of which have not been explicitly solved.
Chan, Alice Zhuo-Yu+3 more
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Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices
In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
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Distributive and Dual Distributive Elements in Hyperlattices
In this paper we introduce and study distributive elements, dual distributive elements in hyperlattices, and prove that these elements forms ∧-semi lattice and ∨-semi hyperlattice, respectively.
Ameri Reza+3 more
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Cramer's rule for a class of coupled Sylvester commutative quaternion matrix equations
In this article, based on the real representation and Kronecker product, Cramer’s rule for a class of coupled Sylvester commutative quaternion matrix equations is studied and its expression is obtained.
Cai Xiaomin, Ke Yifen, Ma Changfeng
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Space distribution of a weed seedbank in a bean cultivation area [PDF]
The objective of this work was to elucidate the characteristics of space distribution of a weed seedbank in order to assist in decision-making for the adoption of management techniques applied to an area under bean monoculture.
Jefferson Luis Meirelles Coimbra+5 more
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Prime filters of hyperlattices
The purpose of this paper is the study of prime ideals and prime filters in hyperlattices. I-filter and the filter generated by a ∈ L are introduced. Moreover, we introduce dual distributive hyperlattices, and I-filter in dual distributive hyperlattices.
Ameri Reza+3 more
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Given a square matrix AA, we are able to construct numerous equalities involving reasonable mixed operations of AA and its conjugate transpose A∗{A}^{\ast }, Moore-Penrose inverse A†{A}^{\dagger } and group inverse A#{A}^{\#}. Such kind of equalities can
Tian Yongge
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Results on matrix canonical forms are used to give a complete description of the higher rank numerical range of matrices arising from the study of quantum error correction.
Li, Chi-Kwong, Sze, Nung-Sing
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Determinant Identities and the Geometry of Lines and Circles
The focus of this note is the nontrivial determinant identities which typically underlie the complex analytic proofs of all the results in the plane geometry of lines and circles.
Anghel Nicolae
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Simplicity of generic Steiner bundles [PDF]
We prove that a generic Steiner bundle E is simple if and only if the Euler characteristic of the endomorphism bundle of E is less or equal to 1. In particular we show that either E is exceptional or it satisfies the following inequality t\leq(\frac{n+1+\
Brambilla, Maria Chiara
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