Results 51 to 60 of about 538 (78)

Towards finding equalities involving mixed products of the Moore-Penrose and group inverses by matrix rank methodology

Demonstratio Mathematica
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
doaj   +1 more source

Space distribution of a weed seedbank in a bean cultivation area [PDF]

Biotemas, 2009
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, Altamir Frederico Guidolin, Marlon Mathias Dacal Coan, Mario Alvaro Aloisio Verissimo, Pedro Patric Pinho Morais, Diego Stähelin   +5 more
doaj  

Prime filters of hyperlattices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
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, Amiri-Bideshki M., Saeid Arsham Borumand, Hoskova-Mayerova Sarka   +3 more
doaj   +1 more source

Commutators from a hyperplane of matrices

, 2014
Denote by $M_n(K)$ the algebra of $n$ by $n$ matrices with entries in the field $K$. A theorem of Albert and Muckenhoupt states that every trace zero matrix of $M_n(K)$ can be expressed as $AB-BA$ for some pair $(A,B)$ of matrices of $M_n(K)$.
Pazzis, Clément de Seguins
core   +1 more source

On Real Solutions of the Equation Φ\u3csup\u3e\u3cem\u3et\u3c/em\u3e\u3c/sup\u3e (\u3cem\u3eA\u3c/em\u3e) = 1/\u3cem\u3en\u3c/em\u3e J\u3csub\u3e\u3cem\u3en\u3c/em\u3e\u3c/sub\u3e [PDF]

, 2001
For a class of n × n-matrices, we get related real solutions to the matrix equation Φt (A) = 1/n Jn by generalizing the approach of and applying the results of Zhang, Yang, and Cao [SIAM J. Matrix Anal. Appl., 21 (1999), pp. 642–645].
Chen, Yuming
core   +1 more source

Matrix equation representation of the convolution equation and its unique solvability

Special Matrices
We consider the convolution equation F*X=BF* X=B, where F∈R3×3F\in {{\mathbb{R}}}^{3\times 3} and B∈Rm×nB\in {{\mathbb{R}}}^{m\times n} are given and X∈Rm×nX\in {{\mathbb{R}}}^{m\times n} is to be determined. The convolution equation can be regarded as a
Satake Yuki, Sogabe Tomohiro, Kemmochi Tomoya, Zhang Shao-Liang   +3 more
doaj   +1 more source

Determinant Identities and the Geometry of Lines and Circles

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
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
doaj   +1 more source

A new non-linear recurrence identity class for Horadam sequence terms. [PDF]

, 2018
We state, and prove by a succinct matrix method, a non-linear recurrence identity class for terms of the so called Horadam sequence. A particular instance was established (in equivalent form) over half a century ago by A.F.
Fennessey, Eric J., Larcombe, Peter J.
core   +1 more source

Arithmetic, geometric, and harmonic means for accretive-dissipative matrices

, 2016
The concept of Loewner (partial) order for general complex matrices is introduced. After giving the definition of arithmetic, geometric, and harmonic mean for accretive-dissipative matrices, we study their basic properties.
Lin, Minghua
core  

Weak dual generalized inverse of a dual matrix and its applications. [PDF]

Heliyon, 2023
Li H, Wang H.
europepmc   +1 more source